quadgram

This is a table of type quadgram and their frequencies. Use it to search & browse the list to learn more about your study carrel.

quadgram frequency
the sine of the602
to the sine of388
the complement of the278
the cosine of the261
the tangent of the255
to the tangent of208
the difference of the194
the versed sine of188
the length of the179
is the sine of147
sine of the angle142
as the sine of140
the center of the138
so is the sine135
the end of the133
the sum of the130
versed sine of the127
is equal to the126
the sines of the125
on the line of125
the thread to the124
the line of sines124
the secant of the120
the sine complement of120
of the angle at119
the distance of the107
of the sines of105
of the line of104
the angle at the104
as the cosine of102
the square of the100
the sine of d100
the height of the93
the time of the92
in the line of91
to the other foot91
lay the thread to90
the line of numbers85
early english books online82
the distance between the81
of the hour from81
to the cosine of80
at the end of79
sine of the hour78
is the tangent of78
the same way from78
sine complement of the76
to the versed sine76
angle at the base76
be found to be74
the rectangle of the73
cosine of the latitude73
take the nearest distance71
the summe of the71
on the other side69
so is the tangent68
the use of the68
the side of the68
sine of the latitude67
the nearest distance to67
greater then a quadrant67
the tangent of d65
the versed sines of65
is to the sine65
the hour of the64
complement of the latitude61
of the suns declination61
less then a quadrant60
of the versed sines60
to the secant of60
difference of the versed60
of the sine of59
to the difference of59
to the sine complement59
to the square of59
so is the radius59
of the angle sought58
will be found to58
of the suns altitude58
the radius to the58
the hour from noon58
tangent of the angle57
of one of the57
the day of the57
the angle opposite to57
one and the same57
sine of the azimuth56
the logarithm of the54
the analogy or proportion54
when the sun hath54
of the given angle54
the proportion of to54
hour of the day53
the tangent complement of53
laying the thread to53
time of the day53
the rest of the51
to find the suns51
the angle of the51
of the given side51
versed sines of the51
case of right angled51
the logarithme of the51
the beginning of the50
thread to the other50
the side of a50
the hour and azimuth50
the top of the50
angle opposite to the49
of the difference of49
of the side sought48
the point of entrance48
may be found by47
so the tangent of47
complement of the angle47
side of the square46
so the sine of46
of the complement of46
is the difference of46
is equall to the46
to finde the suns46
the angle at a45
and the angle at45
the azimuth from the45
take the distance between44
the meridian of the44
the declination in the44
sine of the suns44
to the content in44
sine of the declination44
so is the difference43
the quantity of the43
nearest distance to it43
the middle of the43
by help of the43
the latitude of the43
the altitude of the42
as the tangent of42
tangent of the latitude42
cosine of the declination42
the rule of three42
versed sine of d42
to make a foot41
angle at the perpendicular41
the length in feet41
of the azimuth from40
the cotangent of the40
the tangent of half40
a line of chords39
the sine of half39
from the sine of39
the wall or cieling39
that is to say39
day of the moneth39
the inclination of meridians39
past in the morning39
the east or west39
cosine of the altitude38
sine of the side38
the extent from to38
tangent complement of the38
represented either as utf38
characters represented either as38
s a a s38
the number of the37
secant of the latitude37
the difference of longitude37
this is the analogy37
of the angle opposite37
as radius or s37
in the triangle abc37
the measure of the37
the intersection of the37
is the cosine of36
half sum of the36
to find the content36
latitude of the place36
is the analogy or36
the end of a36
difference of the sines36
the first of the36
in the middle of36
edge of the quadrant36
the number thought upon36
the place of the36
sine of the altitude36
a table of the36
time of the suns36
from the center of35
sine of half the35
sines of the suns35
be equal to the35
so is the co35
it be required to35
the side opposite to35
is bounded east with34
according to nearest distance34
the shadow of the34
the proportion of the34
the axis of the34
opposite to one of34
the angle at b34
there is given the34
the half sum of34
foot of the compasses34
the radius of the34
into two equal parts33
so is the cosine33
complement of the suns33
square of the radius33
the content of the33
to finde the hour33
extend the compasses from33
but if it be33
the difference of latitude33
given to find the33
by the line of32
to one of them32
side of a square32
the numerator of the32
the diameter of the32
the line of contingence32
be less then a32
a s s a32
the scale of entrance32
is said of the31
is the radius to31
to find the hour31
be found by the31
tangent of half the31
laid the same way31
line of versed sines31
side opposite to the31
in the center of31
half the difference of31
is the number of31
to find an angle31
by the help of30
the angle at c30
which is all one30
hour of the night30
the sides of the30
the first and second30
the thred to the30
as the radius is30
the suns altitude at30
sine complement of a30
the nearest distance from30
to the end of30
and so is the30
sine of the second30
the superficial content of30
in the equal limb30
is to the radius30
the side sought as30
sine of an arch30
the thread laid over29
the sun or stars29
be found in the29
the radius is to29
the sun hath d29
the pole of the29
right angled spherical triangles29
the thread over the29
in the first place28
radius is to the28
the scale and the28
the declination of the28
in the right angled28
the sine of an28
let there be given28
the suns greatest declination28
on the first side28
taken out of the28
suns distance from the28
to the complement of28
in the place of28
the suns distance from28
by help of a28
center of the quadrant28
sine of the first27
to find the side27
so is the length27
sum of the sines27
in the scale of27
to the length of27
distance from the meridian27
to the cotangent of27
of half the angle27
between the scale and27
the altitude in the27
so the sine complement27
the content in feet27
of the sun or27
the parts of the27
be greater then a27
line of sines from27
the suns azimuth from26
as the sine complement26
of a line of26
there be given the26
scale and the thread26
opposite to the other26
to finde the angle26
and by its resolver26
use of the line26
to the tangent complement26
a line of sines26
the point of the26
of right angled spherical26
the description of the25
to find the other25
the true time of25
and the complement of25
on the left edge25
in the same time25
complement of the other25
equal to the angle25
of sines from the25
nearest distance to the25
the logarithms of the25
the cosecant of the25
and so of the25
on the right edge25
for the latitude of25
the poles of the25
when the sun is25
the foot of the25
and the opposite side25
the ark of difference25
of the ark of25
so of the rest25
which was to be25
sines from the center25
of a great circle25
the centre of the25
the distance from the25
true time of the25
then lay the thread25
rectangle of the sines25
of the three sides24
the denominator of the24
to find the time24
sum of the two24
and draw the line24
same way from the24
in the versed sine24
to the breadth in24
thread laid over the24
to draw the hour24
to find the angle24
a foot of timber24
to find the third24
as the radius to24
this analogy or proportion24
the same extent laid24
the second and third24
of the tangent of24
to secant of the24
found to be d24
is the complement of24
the subtense of the23
height of the pole23
the scale of altitudes23
which being added to23
the subtense of degrees23
lay the thread over23
ark of difference between23
by reason of the23
sum of the three23
s s a a23
table of the suns23
let it be required23
the tangent of an23
distance to the thread23
make a foot of23
suns azimuth from the23
the right angled figure23
complement of the first23
if it be a23
the square root of23
the line of hours23
in the end of23
the radius or s23
find the time of23
foot of your compasses23
complement of the altitude23
side sought as the23
the parallel sine of23
then right against the23
is to the tangent23
radius to the sine23
the first to the23
the product will be23
line of equal parts23
the compasses from the23
so have you the23
a a s s22
sine of one of22
right edge of the22
azimuth of the sun22
to be placed in22
twice the same way22
as you see in22
the line of latitudes22
of the half sum22
end of the line22
from the east or22
by this analogy or22
of the said ark22
to the rectangle of22
for the most part22
one foot in the22
azimuth from the south22
the cube of the22
the third part of22
from the right edge22
the product of the22
the right edge of22
the remainder is the22
the segments of the22
is the versed sine22
the right sine of22
as the secant of22
the solid content of22
it is to be22
the excesse of the22
required to find the22
center of the glasse22
the line of tangents22
one of the sides22
the institutions providing financial21
text and markup reviewed21
this keyboarded and encoded21
all the squares in21
images scanned from microfilm21
text is available for21
the sine of one21
to the number of21
the work described above21
laid twice the same21
in the latitude of21
point of your compasses21
text can be copied21
the right angled triangle21
for keying and markup21
the text can be21
keyboarded and encoded edition21
english books online text21
providing financial support to21
to the early english21
according to the terms21
past in the afternoon21
and markup reviewed and21
by the rule of21
all without asking permission21
day of the month21
if the given angle21
edition of the work21
coded from proquest page21
the terms of creative21
nearest distance from the21
terms of creative commons21
this phase i text21
and encoded edition of21
after the same manner21
by the institutions providing21
the right ascension of21
from proquest page images21
or which is all21
tangent of the suns21
sine of the complement21
described above is co21
and coded from proquest21
financial support to the21
phase i text is21
of your compasses in21
the two including sides21
assigned for keying and21
thred to the other21
keyed and coded from21
the arch of a21
and lay the thread21
online text creation partnership21
the suns right ascension21
encoded text transcribed from21
cosine of the angle21
books online text creation21
support to the early21
institutions providing financial support21
encoded edition of the21
to the terms of21
be the sine of21
owned by the institutions21
tcp assigned for keying21
markup reviewed and edited21
of the work described21
is available for reuse21
the early english books21
i text is available21
end of the rule21
it were required to21
even for commercial purposes21
work described above is21
at the sine of21
laid to the other21
the sine of deg21
the natural sine of20
the other end of20
height of the stile20
the logarithmes of the20
the fourth part of20
meridian of the place20
right ascension of the20
the other side the20
is the same with20
and of the ark20
and one of the20
the other to the20
altitude of the sun20
so when the sun20
from the end of20
sum of the sides20
one foot of your20
parts of an inch20
beginning of the line20
difference of the two20
to its opposite side20
to the thread laid20
point of the compasses20
the converse of the20
be made about the20
iv tiff page images20
by the case of20
of the third side20
are a number of20
declination of the sun20
the new cambridge bibliography19
there was a compelling19
understanding these processes should19
and available in eebo19
returned to the keyers19
texts have been issued19
thread laid to the19
known extent have been19
the double of the19
transcription and basic encoding19
nature of the print19
any remaining illegibles were19
texts were encoded and19
respectfully request that due19
images in accordance with19
to simplify the filling19
the keyers to be19
the zenith and the19
to the keyers to19
created by converting tcp19
of time and funding19
as the radius or19
project restraints of time19
find the superficial content19
sent to external keying19
work was chosen if19
and encoded texts based19
proquest to create accurately19
extent have been transformed19
oxford and the publisher19
via their early english19
create accurately transcribed and19
tcp files to tei19
can now take and19
sets published by proquest19
whichever is the greater19
based on the image19
and those which did19
second or later edition19
true nature of the19
reason to do so19
therefore of any assumptions19
first editions of a19
distance from the pole19
possible up to a19
was based on the19
tcp is a partnership19
process of creating the19
on the text encoding19
are eligible for inclusion19
placeholder characters or elements19
on the image sets19
of michigan and oxford19
such instances will never19
find the content of19
request that due credit19
and oxford and the19
based on the text19
of a work was19
usual project restraints of19
is in proportion to19
accordance with level of19
bear in mind that19
to range over a19
unicode or tei g19
variety of subject areas19
take and use these19
and use these texts19
been looked at by19
aimed to produce large19
copies of the texts19
tei in libraries guidelines19
characters marked as illegible19
transcribed and encoded texts19
sine of the difference19
laying the thread over19
remaining illegibles were encoded19
and markup guidelines are19
enhanced and or corrected19
title published between and19
ascii text with mnemonic19
corrected and characters marked19
on the new cambridge19
restraints of time and19
to tei p using19
is the time of19
if there was a19
sine of the said19
an angle opposite to19
bibliography of english literature19
the project have been19
files to tei p19
have been released into19
the publisher proquest to19
changes to facilitate morpho19
to a limit of19
guidelines are available at19
teams in oxford and19
unicode or text strings19
should bear in mind19
published between and available19
by editorial teams in19
range over a wide19
filling in of gaps19
publisher proquest to create19
proofread for accuracy and19
the base of the19
encoding based on the19
data is very good19
processes should make clear19
while the overall quality19
editorial teams in oxford19
characters or elements to19
those which did not19
the public domain as19
simplify the filling in19
general aim of eebo19
made about the data19
a partnership between the19
looked at by a19
proquest via their early19
at by a tcp19
gap elements of known19
was then carried out19
text creation partnership web19
mind that in all19
creating the tcp texts19
due credit and attribution19
should make clear that19
in oxford and michigan19
each text was proofread19
page images in accordance19
text strings within braces19
will never have been19
assurance was then carried19
is given to their19
opposed to critical editions19
corrected where possible up19
in accordance with level19
keying companies for transcription19
of every monographic english19
divided into two phases19
companies for transcription and19
credit and attribution is19
these texts for their19
for transcription and basic19
of the process of19
been transformed into placeholder19
instances will never have19
sets were sent to19
and characters marked as19
of the print record19
language title published between19
some errors will remain19
mainly structural encoding based19
have been transformed into19
of instances per text19
should be aware of19
later edition of a19
accurately transcribed and encoded19
external keying companies for19
for an anonymous work19
elements of known extent19
errors will remain and19
their early english books19
texts based on the19
of creating the tcp19
quality assurance was then19
to encode one copy19
the text creation partnership19
did not meet qa19
edition of a work19
the sine of degrees19
of the number of19
the text encoding initiative19
with level of the19
elements to simplify the19
or tei g elements19
assumptions that can be19
sometimes a second or19
is to the co19
print record of the19
then carried out by19
works are eligible for19
to create diplomatic transcriptions19
usually the first edition19
angle opposite to one19
characters will be marked19
data within the usual19
out by editorial teams19
of half the difference19
over a wide variety19
by university of nebraska19
of difference between the19
phase of the project19
image sets published by19
the first figure of19
tcp aimed to produce19
between the universities of19
of works in other19
chose to create diplomatic19
attribution is given to19
carried out by editorial19
was chosen if there19
overall quality of tcp19
based on the new19
now take and use19
or corrected and characters19
to the radius of19
the overall quality of19
of tcp data is19
of the angle given19
into the public domain19
likelihood such instances will19
were sent to external19
michigan and oxford and19
chosen if there was19
published by proquest via19
and laying the thread19
limit of instances per19
to page images in19
of the substile from19
we respectfully request that19
by converting tcp files19
from east or west19
creation partnership web site19
or for an anonymous19
any assumptions that can19
and the publisher proquest19
these processes should make19
with a hot iron19
textual data within the19
and or corrected and19
available at the text19
for accuracy and those19
of textual data within19
markup guidelines are available19
record of the period19
users should bear in19
the tei in libraries19
or later edition of19
of gaps by user19
text with mnemonic sdata19
anyone can now take19
quantities of textual data19
can be made about19
some readable characters will19
within the usual project19
the universities of michigan19
large quantities of textual19
be marked as illegible19
all likelihood such instances19
as illegible were corrected19
the reason of the19
by a tcp editor19
mnemonic sdata character entities19
a wide variety of19
tcp is to encode19
and therefore of any19
a compelling reason to19
notably latin and welsh19
new cambridge bibliography of19
was divided into two19
with changes to facilitate19
was intended to range19
of any assumptions that19
encoded texts based on19
project have been released19
image sets were sent19
have been issued variously19
a work was chosen19
a works in english19
and sometimes a second19
between and available in19
intended to range over19
the encoding was enhanced19
to produce large quantities19
given to their original19
tcp project was divided19
a number of works19
will be marked as19
in all likelihood such19
the content of a19
the process of creating19
not meet qa standards19
works in english were19
text selection was based19
were encoded as gap19
keying and markup guidelines19
quality of tcp data19
for their own purposes19
been issued variously as19
meet qa standards were19
is a partnership between19
text was proofread for19
and some readable characters19
editions of a works19
are available at the19
then their works are19
processed by university of19
released into the public19
the print record of19
into placeholder characters or19
the thread laid to19
in english were prioritized19
a limit of instances19
public domain as of19
will remain and some19
the filling in of19
to their original source19
at the text creation19
tcp data is very19
the number of men19
wide variety of subject19
and linked to page19
that in all likelihood19
linked to page images19
have been looked at19
reflect the true nature19
is to the cosine19
remain and some readable19
accuracy and those which19
cosine of the given19
keyers to be redone19
texts created during phase19
find the hour of19
number of works in19
is to encode one19
aware of the process19
up to a limit19
that can be made19
to external keying companies19
level of the tei19
encoded as gap s19
was a compelling reason19
be aware of the19
to create accurately transcribed19
were encoded and linked19
of the project have19
their works are eligible19
the thread in the19
a second or later19
the texts have been19
transformed into placeholder characters19
the given angle be19
although there are a19
selection was based on19
of the tei in19
created during phase of19
angles at the base19
and attribution is given19
in of gaps by19
converting tcp files to19
standards were returned to19
or text strings within19
of the other sides19
of known extent have19
universities of michigan and19
never have been looked19
the general aim of19
cambridge bibliography of english19
as opposed to critical19
encoded and linked to19
illegible were corrected where19
included and sometimes a19
therefore chose to create19
was proofread for accuracy19
tei p using tcp19
and therefore chose to19
use these texts for19
but we respectfully request19
were returned to the19
encoding was enhanced and19
other end of the19
the texts were encoded19
been released into the19
were corrected where possible19
during phase of the19
domain as of january19
or elements to simplify19
the usual project restraints19
is a line of19
equal to the sine19
users should be aware19
to reflect the true19
works in other languages19
of the texts have19
texts for their own19
in mind that in19
of a works in19
p using tcp tei19
compelling reason to do19
where possible up to19
qa standards were returned19
with mnemonic sdata character19
marked as illegible were19
by proquest via their19
structural encoding based on19
issued variously as sgml19
gaps by user contributors19
readable characters will be19
which did not meet19
there are a number19
of each text was19
if the hipotenusal be19
project was divided into19
produce large quantities of19
was enhanced and or19
that due credit and19
illegibles were encoded as19
selection was intended to19
partnership between the universities19
the true nature of19
the image sets published19
description and use of18
would be found to18
from the beginning of18
the time of sun18
the line of pence18
third part of the18
and from the point18
is the secant of18
so the cosine of18
superficial content of the18
arch of a great18
as the rectangle of18
time of the night18
tangent of the given18
of the suns greatest18
the azimuth of the18
in feet and inches18
half the angle sought18
sines of the third18
that part of the18
is to be found18
is to the square18
the complements of the18
in the same manner18
the latitude of a18
the thread and the18
issuing from the center18
and the sine of18
houre of the day18
complement of the second18
between the zenith and18
a line of versed18
to find the distance18
right angled sphericall triangles18
distance of the substile18
the breadth in inches18
end of the said18
on the wall or18
the sides of a18
shall reach to the18
to the given side18
one point of your18
their difference of longitude18
the difference between the18
the help of the18
at the beginning of18
and take the nearest18
the quotient is the18
the latitude of london18
to the common radius18
secant of the angle18
n d n d18
the numbers in the18
in the table of18
cotangent of the latitude18
the hour from six18
the first of march17
the description and use17
right sine of the17
of the said thread17
is the length in17
against it on the17
of the second and17
let fall the perpendicular17
a clock hour line17
sine of the given17
to the height of17
and the other to17
to a fourth sine17
complement of the declination17
at the same time17
the case of right17
and use of the17
and the thread laid17
the sector at that17
of right angled sphericall17
of the side required17
end of a word17
in the versed sines17
in the use of17
of the latitude to17
are equal to the17
sector at that gage17
by a line of17
and the line of17
the angle at d17
complement to a semicircle17
you see in the17
line of sines on17
is the logarithm of17
difference of the sides17
of the sum of17
secant of the given17
square of the sine17
the bead to the17
complement of the subtendent17
in feet and parts17
to work proportions in17
as if it were17
the point in the17
of the containing sides17
if it were required17
to the side sought17
and the tangent of17
the length in inches17
find the suns altitude17
azimuth from the north17
keeping the sector at17
finding the hour and17
of the two sides17
be added to the17
on the left is17
pole of the world16
first of the first16
all the cases of16
the east and west16
the left edge of16
is grounded on the16
in proportion to the16
the sum and difference16
upon the line of16
of the poles elevation16
let fall a perpendicular16
sun hath d of16
opposite to the angle16
finde the suns azimuth16
one foot of the16
of the cosine of16
the half of the16
the edge of the16
one to the other16
sides of the triangle16
to find the azimuth16
over the secant of16
by the denominator of16
how to make a16
line parallel to the16
of the latitude and16
the same with the16
centre of the earth16
the use of this16
so much the more16
azimuth from the meridian16
and the given angle16
from the summe of16
a line of tangents16
one foot of this16
a pair of compasses16
you shall have the16
the sun is in16
left edge of the16
the sine of a16
of the fixed piece16
complement of the poles16
to the proportion of16
one of the middle16
the angles of the16
to the winter ecliptick16
the substile from the16
is greater then the16
parallel to the horizon16
and difference of the16
the tenet of the16
and extend the other16
the lines on the16
the second mood of16
then in the right16
sine of the ark16
that it may be16
the uses of the16
sine of the hypothenusal16
of the first co16
without the help of16
which comprehendeth all those16
it is in the16
a line parallel to16
from thence to the16
the head of the16
to find how much16
the suns going off16
on the right side16
inscribed in a circle16
enter one foot of16
so for any other16
then the complement of16
is the length of16
that the proportion of16
poles of the world16
of the logarithmes of16
in like manner may16
the circumference of a16
length of the day15
find the content in15
and you will find15
foot of that extent15
the angle of contact15
quantity of the angle15
the tangent of a15
of the first differences15
of the second co15
finding out of the15
the latitude and declination15
the arithmeticall complement of15
it will be necessary15
to cosine of the15
be taken out of15
the diameter of a15
if there were given15
on the left hand15
the semidiameter of the15
is that which is15
of the angle required15
and you have the15
day of the week15
foot of this extent15
of the scale of15
the sines of their15
secant of the declination15
arch of a circle15
cathetothesis of this mood15
of the suns going15
due east or west15
from the next equinoctial15
at the hour of15
of the first and15
opposite to the side15
the next equinoctial point15
take the distance from15
the significant figures of15
one foot of that15
the affection of the15
to radius or s15
the houre of the15
of the two middle15
of the compasses in15
as the difference of15
hour from the meridian15
on the fixed piece15
sine of the base15
first figure of the15
lay the thred to15
divided into equal parts15
one of them being15
for finding the hour15
the hour from the15
in the first colum15
being laid the same15
enter the former extent15
length of the line15
of the latitude is15
sum and difference of15
which may be found15
the cathetothesis of this15
axis of the world15
tangent of the side15
the proportion will be15
divide the product by15
in the next place15
secant complement of the15
the number of inches15
the compasses from to15
just touch the thread15
the second to the15
the angle at p15
from the half sum15
is no other then15
the horizontal line of15
in respect of the15
is given the side15
equal to the rectangle15
to the right hand14
in the lesser sines14
at the point of14
to cosecant of the14
the tangents of the14
the remainer will be14
a s a a14
side of the quadrant14
to the left hand14
to the right line14
altitudes on all hours14
one point of the14
between the thread and14
figures of the numerator14
setting one foot in14
the other foot according14
one of the other14
it on the line14
in one and the14
if it be not14
the area of a14
find the length of14
of the declination in14
the number of degrees14
the true hour of14
of the second chapter14
being added to the14
to the summe of14
was to be proved14
the number of termes14
the reason of this14
and right against it14
the area of the14
and the foot of14
and the quotient is14
when the altitude is14
the scale of hours14
to the day of14
and so for any14
be greater then the14
cases of this mood14
worth in ready money14
of the cases of14
the radius of a14
in the meridian line14
to finde out the14
they are to be14
in the equal limbe14
set one point in14
on the left side14
the superficies of the14
is to the secant14
the cuspis of the14
of the segments of14
the suns altitude on14
the secant of d14
the extent of the14
of this extent at14
the other side of14
a a s a14
of the logarithms of14
one side of the14
how to find the14
d n d n14
according to the former14
will reach to the14
line of natural sines14
as in the triangle14
the fiducial edge of14
other foot according to14
of the said arch14
of the subtense given14
opposite to the given14
the end of that14
substile from the meridian14
the quotient will be14
length of the shaddow14
a side opposite to14
in the same proportion14
significant figures of the14
of the side opposite14
drawn from the center14
side opposite to one14
secant of the altitude14
to the length in14
in the second colum14
laying the thred to14
of the middle tearms14
the sine of his14
tangent of an arch14
radius is equal to14
is the angle required14
required to be found14
be the tangent of14
latitude of a place14
is greater than the14
the motion of the13
be equall to the13
first to the second13
the first arch found13
out of the line13
is the distance of13
find the third side13
segments of the base13
the secant complement of13
true hour of the13
to finde how much13
in the triangle ade13
former extent between the13
a b c d13
the difference of two13
of the latitude of13
length in feet and13
the point where the13
tangent of the difference13
is to be understood13
tangent of the declination13
straight ruler to the13
be found by this13
be less then the13
the distance thereof from13
on the right hand13
towards the right hand13
the length on the13
the first leg to13
by the number of13
as in the first13
to the latitude of13
you should have said13
extent between the scale13
of sines on the13
the angle of and13
foot on the left13
of the sides of13
the declination from the13
the content in acres13
the points of the13
that extent at the13
the two first tearms13
finde it to be13
to be divided into13
measure of the angle13
fourth part of the13
the meridian between the13
equal to the square13
azimuth from the vertical13
between the eye and13
as in the former13
take out the sine13
the line of versed13
the pole above the13
laid over the secant13
come to the meridian13
upon the point of13
place one foot of13
parallel sine of the13
and the other two13
of the hipotenusal as13
i carry and is13
the three angles of13
of the numerator of13
the third and fourth13
same extent laid the13
to the nearest distance13
extent of the compasses13
that the summe of13
bounded east with the13
the suns meridian altitude13
and to the other13
diameter of a circle13
found by this analogy13
the line of equal13
the sine of any13
circumference of a circle13
the order of the13
arithmeticall complement of the13
to the next place13
the finding out of13
finde the suns altitude13
and the first co13
in the sine of13
to that of the13
of the pole above13
cosecant of the side13
to two right angles13
distance thereof from the13
of the proportion of13
and of the difference13
the latitude in the13
set one point of13
shall reach from the13
by the proportion of13
the former extent between13
comprehendeth all those problems13
down the line of13
given to finde the13
complement of a first13
half an hour past13
hour and azimuth in13
in the fourth colum13
to the angle sought13
in the third colum13
were required to find13
half the sum of13
the complement thereof to13
and the side bc13
the latitude to the13
of them being given13
the north and south12
the equality of the12
is said of those12
it may be done12
then measure the distance12
lines drawn from the12
is the side of12
the a clock hour12
time of sun rising12
the third to the12
two sides with an12
where the end of12
is said to be12
to find the superficial12
tangent complement of a12
in such sort that12
make use of the12
will be to find12
of the arch given12
be to find the12
so tangent of the12
part of the meridian12
the product is the12
it will not be12
by the same reason12
the first day of12
cosine of the side12
how to measure a12
of men to be12
from the elevated pole12
it at right angles12
is nothing else but12
right angled sphoerical triangles12
and is not this12
tangent of the complement12
the line of chords12
of the night by12
cosecant of the given12
number of men to12
as the cotangent of12
secant of the complement12
rule of three direct12
first figures of the12
it will intersect the12
height of the tower12
the length of a12
you shall finde it12
in the first part12
is greater then a12
be placed in file12
the suns altitude in12
from the length in12
tangent of the said12
shall be equal to12
the latitude is to12
be required to find12
the bottom of the12
substiles distance from the12
the substiles distance from12
the differences of the12
place of the sun12
thread in the limb12
the number of feet12
reason of the rule12
logarithme of the number12
so that it may12
men to be placed12
the middle of a12
fiducial edge of the12
there were given the12
the breadth of the12
the first part of12
right against it on12
of a piece of12
an hour past in12
so is the third12
being one of the12
half difference of the12
down in your field12
which is the side12
area of a circle12
r ocm this keyboarded12
logarithm of the sine12
so cosine of the12
then the same extent12
at right angles with12
and south with the12
at the cosine of12
proportion of to is12
by the side of12
one of the including12
to the top of12
to the side of12
and keeping the sector12
the line of lines12
the sine of that12
to find a side12
nothing else but the12
the azimuth in the12
and azimuth in the12
angled figure made of12
that it is a12
will be less then12
in all respects as12
complement of the perpendicular12
cosine of the suns12
hour past in the12
finde the hour of12
and in the other12
part of the line12
foot according to nearest12
was to be demonstrated12
in a foot long12
the line of natural12
ocm this keyboarded and12
now because the perpendicular12
open the other to12
side greater then a12
as the totall sine12
figure made of the12
to tangent of the12
in the beginning of12
the sine of ab12
the second and first12
the circle of the12
first leg to the12
the other given side12
out the sine of12
is less then the12
of a spherical triangle12
equal to all the12
is the solid content12
of the meridian and12
find the solid content12
all the parts of12
the surface of the12
analogy or proportion is12
your compasses in the12
draw a line parallel12
of the cathetothesis of12
such proportion to the12
is the measure of12
second and first differences12
on the sine of12
is an arch of12
against it in the12
rectangle of the co12
the other two sides12
one of the angles12
ascension of the sun12
suns altitude on all12
the circumference of the12
all the uses of12
measure the distance of12
of the other two12
to finde the side12
estc r ocm this12
shall be the true12
it is all one12
multiply the numerator of11
a straight ruler to11
the parallel of declination11
top of the tower11
whose diameter is inches11
as well as the11
meridian between the zenith11
the extent from the11
to the line of11
the product by the11
your line of chords11
so is the base11
set off that distance11
are given to find11
as to the breadth11
the remainder of the11
set one foot in11
sum or difference of11
given to find an11
and you shall finde11
between the two including11
opposite side greater then11
of the square of11
the nature of the11
complement of the side11
of the versed sine11
given the side ab11
if the sun have11
the point of concourse11
natural sine of the11
of the verticall angles11
to the sines of11
from the scale of11
and divide the product11
with the line of11
the diameter in inches11
the angle of position11
the center to the11
to the center of11
which shall be the11
of the suns rising11
to the distance between11
an arch of the11
the antisine of the11
be d from the11
the first angle at11
reach the same way11
area or superficial content11
right angled figure made11
being substracted from the11
the line of the11
the first case of11
the two first figures11
in the british library11
if one of the11
first day of march11
secant of the side11
minutes past in the11
with an angle opposite11
lay a ruler from11
as the square of11
from the left edge11
first of the second11
the cursor of the11
difference between the two11
the area or superficial11
from the center to11
the cases of this11
the quadrant of latitudes11
at right angles in11
is a right angle11
a point in the11
in the point of11
of right angled sphoerical11
to the cosecant of11
to find how many11
the suns altitudes on11
to a fourth number11
and set off that11
an arch of a11
distance between the two11
setting one point of11
original in the british11
being laid twice the11
because the perpendicular falls11
so the tangent complement11
the suns declination is11
may be found in11
sine of the other11
a paire of compasses11
but just touch the11
the hipotenusal be greater11
to make one foot11
will be necessary to11
extent from to the11
sides with an angle11
to find the solid11
sine of the perpendicular11
and the length of11
you come to the11
the greater to the11
to be found in11
sun is in the11
or in the afternoon11
for finding the azimuth11
length of the shadow11
the eye and the11
sines of the containing11
that end of the11
the opposite side greater11
first angle at the11
will be the same11
parallel of the suns11
the plot of a11
with the help of11
the quadrant on the11
length of the perpendicular11
this extent at the11
altitude or depression at11
difference of the base11
of the loose piece11
be the same with11
to the knowledge of11
in the first case11
radius of a circle11
what day of the11
of the two given11
and at the end11
suns altitudes on all11
of the side given11
placed in the quotient11
to the sum of11
sine of the arch11
as the gauge point11
way from the length11
tangent of one of11
reproduction of original in11
the sun hath deg11
to be understood of11
and with the other11
the point of intersection11
so much is the11
sines of the sum11
the angle sought as11
in a right line11
the lines of sines11
is lesse then the11
the tangent of one11
and draw a line11
the two middle tearms11
is the square of11
first tearm in the11
the line of defence11
in the second place11
by the lines of11
the first tearm in11
complement of a second11
diameter of the circle11
to finde the azimuth11
to all the squares11
horizontal line of the11
the angles at the11
of the suns coming11
and the meridian of10
of the suns distance10
same extent laid twice10
let the altitude be10
side less then a10
to the length on10
be of the same10
from the point of10
sines of the half10
complement of the given10
counted from the right10
is double to the10
are of the same10
of the parts of10
the hipotenusal be less10
three sides are given10
the sun or star10
in the said reflected10
then lay a ruler10
from the noon meridian10
the opposite side less10
of that arks complement10
term is to the10
of the latitude in10
the difference betwixt the10
to find the square10
then laying the thread10
one half of the10
the distance of any10
shall be the sine10
the bottome of the10
then take the nearest10
find the distance of10
in all other cases10
and set it from10
to find the altitude10
of the altitude of10
so shall you have10
angle sought as the10
the three sides of10
which is in the10
latitude is to the10
in one foot long10
of that extent at10
of one fourth of10
a line of equal10
as in the last10
meridian of the world10
the suns coming on10
the vses of the10
tangent of halfe the10
to the meridian between10
or pole of the10
declination in the scale10
the squares in the10
of the compasses from10
the generall maxim of10
end of the scale10
for the suns azimuth10
so is the secant10
the solid content thereof10
you will find the10
how is it that10
and if there be10
between it and the10
in the rule of10
of a circle given10
the suns declination be10
as you may see10
the place of unites10
so the secant of10
of a first subtendent10
plot of a field10
to find out the10
is represented by the10
and the number of10
given angle be obtuse10
on the moveable piece10
will be equal to10
on this side the10
you may find the10
sides with the angle10
may it please your10
to one of the10
of the small quadrant10
distance from the sine10
the secant of that10
ruler to the center10
the directory of this10
content of a circle10
as the number of10
the quantity of an10
of the opposite angles10
where it cuts cancer10
opposite side less then10
of the meridian altitude10
the demonstration of the10
as in the example10
of the plains declination10
case of this mood10
and the angle a10
some uses of the10
to find the length10
of the altitude sought10
the moveable point will10
of one of those10
the length and breadth10
to project the triangle10
of the angle of10
part of the world10
first part of the10
then take out the10
the azimuth from south10
both whole and divided10
the degrees on the10
by how much the10
applyed the same way10
which is the angle10
as in the figure10
and the thread in10
of the given sides10
departure from the meridian10
to the horizontal line10
be placed in rank10
the halfe of it10
to be added to10
pole of the plain10
of half the complement10
meridian of the plain10
two sides with the10
of the suns right10
the left is the10
the complement of that10
if the sun be10
is to the distance10
outward ledge of the10
with the angle comprehended10
so is the second10
the knowledge of the10
under the first figure10
by the first case10
summe of the logarithms10
find the difference of10
is the logarithme of10
the other middle tearm10
be due east or10
and enter the former10
is the height of10
equal to the right10
meridian line on the10
that the sine of10
of the two including10
the north or south10
now to find the10
two sides being given10
or parts of a10
from the center a10
converse of the former10
as the tangent complement10
of the greater to10
edge of the index10
of a circle be10
is the double of10
to find the latitude10
length on the left10
distance from the elevated10
parts of a triangle10
to the rules of10
a quarter of an10
thread and the scale10
shall reach the same10
of the differences of10
be the measure of10
with a paire of10
in the fifth colum10
must be taken out10
the hours of and10
the parralels of altitude10
the night by the10
so is the first10
according to the rules10
to the distance of10
of the day will10
if you would have10
six in the morning10
and the side ab10
the sine to the10
is the content of10
and you shall have10
of versed sines to10
and the length in10
the outward ledge of10
scale of equal parts10
the leggs from the10
is to the length10
on the top of10
the one to the10
foot on the right10
other side of the10
the doctrine of the10
and the time of10
from the meridian line10
of the reclination inclination10
the figures of the10
to draw the reflected10
it is evident that10
in this case the10
right against the inches9
and it shews the9
of the stiles height9
made equal to the9
sine of d is9
if the other angle9
from the point a9
it may also be9
in the annexed tangent9
every one of the9
is fastened in the9
of the same arch9
tangent of the lesser9
make one foot solid9
of the suns course9
of the first term9
of the tables of9
the tangent of halfe9
reproduction of the original9
i set under the9
into an improper fraction9
the line of decimal9
then the latitude of9
or the complement of9
so is to the9
set the bead to9
is a great circle9
in the days of9
to find the angles9
then i multiply the9
the line of azimuths9
maxim of the cathetothesis9
the hour lines of9
and prick them from9
sine of an ark9
to the row of9
the suns declination to9
the first and last9
sine of the opposite9
every one of them9
the sines complements of9
from on the moveable9
of the quadrant of9
to finde which of9
no other then the9
is to the difference9
may but just touch9
found to be deg9
tangent of the arch9
the beames of the9
of the concordances of9
end is fastened in9
the thread on the9
by laying the thread9
by the second term9
is parallel to the9
is the sum of9
complement of an angle9
the day will be9
it shall reach to9
ark in the limb9
find it to be9
in the description of9
line from the center9
to the side required9
line drawn from the9
all the rest of9
of a right angled9
the hour from towards9
in the first column9
to sine of the9
leg to the sine9
to the summer ecliptick9
or may it please9
the parts of a9
sine to the sine9
the lines of lines9
and let it be9
one of them given9
they are of the9
to the axis of9
hipotenusal be less then9
given angle be acute9
the azimuth will be9
aptara keyed and coded9
the other angle be9
by the geometry of9
and the difference of9
if you multiply the9
of the first to9
the latitudes of the9
difference of the other9
its complement to d9
distance from the center9
to the product of9
the hour will be9
estc r this keyboarded9
the sine of ac9
our latitude of london9
of the altitude in9
by the of the9
betwixt the sines of9
by the length of9
the suns azimuth at9
is not to be9
which i set down9
of the quadrant to9
found will be less9
the ark of the9
which being substracted from9
the variety of the9
required to make a9
and open the other9
sine of any arch9
the sun will be9
r this keyboarded and9
from a to b9
the first colum are9
the original in the9
is the sine to9
sides are given to9
greater or less then9
of the same radius9
take the declination from9
towards the left hand9
to find the point9
meridian or pole of9
the suns rising and9
is the quantity of9
lay a ruler to9
the extremity of the9
to a line of9
according to the directions9
a line drawn from9
of the day to9
end of a thread9
upon the lines of9
the tangent of any9
other foot lay the9
vnto every pound of9
equall to the angle9
description and uses of9
to find the true9
it may be found9
to the nature of9
the side adjacent to9
the help of a9
any number of souldiers9
find the hour and9
and xml conversion the9
right angles with the9
part of a circle9
make it a parallel9
thread to the sine9
the sum is the9
and transfer that distance9
the other foot lay9
as in the following9
the meridian or pole9
in our latitude of9
but if you would9
example for finding the9
the sun shall have9
tearm of the proportion9
the line a b9
over the day of9
of d in the9
for the use of9
one of the given9
parts of a foot9
and in the versed9
to the beginning of9
the limb of the9
by so much the9
whose end is fastened9
is one of the9
line of the plain9
foot lay the thread9
of d to the9
found by the case9
cuts the limb at9
the turning sight to9
to which is added9
above the upper horizon9
the degrees of the9
d of north declination9
by introducing the radius9
is required to find9
first case of right9
and of the sum9
it is easie to9
is to the base9
you have to say9
where it intersects the9
on each side the9
the hour from midnight9
particular scale of altitudes9
the second arch found9
be divided into parts9
and placing one foot9
from the midnight meridian9
the thread and plummet9
of the original in9
in the morning or9
cosecant of the angle9
may be done by9
sines complements of the9
when three sides are9
thence to the end9
to the other side9
suns rising and setting9
vertical altitude or depression9
of the same kind9
the other end thereof9
so is the sum9
d in the limb9
is the side required9
and the elevated pole9
the other foot to9
of this figure is9
of the table of9
suns altitude in the9
the right hand of9
tangent of the perpendicular9
or difference of sines9
of the suns meridian9
that there may be9
less then a semicircle9
and so much the9
at the declination in9
cosine of the ark9
if the declination be9
if the suns declination9
the difference of those9
of the obtuse angle9
which is the distance9
shewes the time of9
equal to the radius9
is the angle sought9
so is the depth9
the feet and inches9
put under the line9
in sines and tangents9
of the lines of9
the suns true place9
to the superficial content9
elevated above the horizon9
for the making of9
till you come to9
to the former directions9
so is the square9
quantity of an angle9
equal to the complement9
the suns declination in9
if the sum of9
said of the concordances9
sines of their opposite9
versed sines in the9
how to draw the9
so sine of the9
have you the number9
and an angle opposite9
superficial content of a9
the description and uses9
the coast of declination9
but the number of9
the names of the9
which being multiplied by9
the given angle acute9
find the angle at9
and so much is9
at the first station9
square root of the9
be the middle part9
and in the equal9
you may draw the8
also the same extent8
is in the middle8
the outside of the8
angles with a side8
the complement of it8
to the distance run8
and it shall reach8
of the fourth ark8
right angled plain triangle8
the other in the8
sine of the hipotenusal8
then the nearest distance8
is supposed to be8
which may be done8
which divided by the8
are in the same8
is no more than8
is given the angle8
or subtense of degrees8
of of the clock8
to the solid content8
in the same place8
to be found out8
out of the glasse8
on the north side8
area of the base8
the meridian line ns8
the perpendicular falls without8
much in length makes8
thread to the tangent8
pole above the plane8
a line of natural8
towards the depressed pole8
the particular scale of8
the making of the8
of the leggs from8
latteral tangent of the8
at the same instant8
the logarithme of is8
the side ab is8
be given the side8
of the east or8
sine is to the8
which being divided by8
will be greater then8
azimuth from the east8
first colum are the8
equal to two right8
among the parralels of8
or superficial content of8
and then it is8
thread fixed in the8
of the angle abc8
number of the hundreds8
from toward the end8
as if they were8
being the complement of8
out of and there8
of the other angles8
and enter one foot8
the declination of any8
of the logarithme of8
extent laid twice the8
in triplicate proportion of8
to finde the declination8
circles of the sphere8
and in the same8
of the first operation8
to find a fourth8
by joseph moxon hydrographer8
a circle of inches8
or feet and inches8
you have the time8
of the said glasse8
tangent of the second8
how much in length8
in the second part8
as the sine is8
and in the morning8
lines from the center8
about may but just8
thread to the complement8
radius of the sines8
angle of a triangle8
for the finding out8
of east and west8
for which account onely8
is to be noted8
work proportions in sines8
compasses from the first8
of a fourth ark8
solid content of the8
halfe the difference of8
lesse then a semicircle8
half the complement of8
of half their difference8
subtense of degrees be8
sought as the radius8
of the last proposition8
order of knighthood is8
to the first of8
on a line of8
if it were a8
the sight of the8
by the square of8
the weight of the8
parallel to the axis8
being set to the8
intersection of the meridian8
of the first angle8
and from the sine8
mean proportional between the8
to be divided by8
it from the center8
in summer is the8
all those orthogonosphericall problems8
in the mean time8
the given angle is8
generall maxim of the8
on the day of8
to the other given8
difference of versed sines8
the time of rising8
to the diameter in8
by the like reason8
of the second differences8
circle whose diameter is8
segment of the base8
parallel to the meridian8
by the equality of8
any one of them8
distance from the next8
shall have your desire8
two angles with a8
the tropick of cancer8
be set to the8
must be equal to8
and the distance of8
with the tangent of8
as long as you8
to finde the base8
the quotient shall be8
of the proportions of8
two right angled triangles8
acute angle at the8
d from the south8
side of a decangle8
square of the first8
backer rule of three8
at of the clock8
of the base is8
three angles of a8
solid content of a8
complement of the same8
length of the scale8
end of the diameter8
is the same as8
radius to the tangent8
enter it at the8
that the rectangle of8
summe of the sides8
at the other end8
the compasses on the8
when the sun shall8
may be taken off8
the second case of8
out of the greater8
extend the other to8
the true time sought8
onely but the number8
perpendicular falls without the8
is the proportion of8
to three numbers given8
we may find the8
to the radius or8
of the other to8
the hour in the8
the altitude of a8
to the season of8
differences of the leggs8
found out on the8
to find the area8
make marks in the8
other part of the8
turned about may but8
to and fro in8
b c d e8
of the same denomination8
sine complement of another8
from place to place8
that it is not8
for the distance of8
and azimuth of the8
and the remainder is8
as the length of8
secant of the hipotenusal8
excesse of the whole8
with a side opposite8
between the sine of8
the end of it8
take the sine of8
if there be any8
the side a b8
is found to be8
the remain is the8
quarter of an hour8
the sines and tangents8
the quadrant to the8
sine of the stiles8
you shall have your8
measure it on the8
cotangent of half the8
a difference of versed8
is the same that8
the suns altitude for8
and then it will8
the latteral tangent of8
and in the line8
hour from towards noon8
the sun upon the8
let there be a8
set down in the8
help of the limb8
of the triangle abc8
upon the same line8
in the first example8
prophesied in the days8
of the angle adjacent8
for the side of8
falls without the triangle8
and parts of an8
hence to finde the8
the thread being laid8
third to the fourth8
tangent of the first8
bears such proportion to8
to the parallel sine8
line from to sheweth8
rectangle of the sine8
find the altitude of8
the radius in the8
the season of the8
as it is in8
to take the plot8
comprehendeth all those orthogonosphericall8
of the double verticall8
the equator from the8
at foot in length8
summe of the logarithmes8
the beginning of a8
of all the squares8
it may be so8
so is the versed8
interpose between the eye8
equal to the distance8
north north north north8
season of the year8
the same acute angle8
the rate of interest8
that shall be the8
to calculate a table8
is to be graduated8
cotangent of the given8
the sine is to8
line at right angles8
distance in the line8