An Excellent TABLE for the finding the Periferies or Circumferences of all Elleipses or Ovals, so near the Truth as any Mechanical Practice can require,  Calculated with great Diligence and Care by Sir IONAS MOOR, and not done before. 
Axis Periferies' Diff. Axis Periferies' Diff.  2.0000  50 2.4218  1 2.0012 12 51 2.4342 124 2 2.0028 16 52 2.4467 125 3 2.0048 20 53 2.4594 127 4 2.0072 26 54 2.4723 l29 5 2.0100 28 55 2.4852 129 6 2.0133 33 56 2.4983 131 7 2.0170 37 57 2.5114 131 8 2.0213 43 58 2.5245 131 9 2.0261 48 59 2.5377 133 10 2.0314 53 60 2.5510 133 11 2.0370 56 61 2.5644 134 12 2.0432 62 62 2.5779 135 13 2.0496 64 63 2.5915 136 14 2.0564 68 64 2.6052 137 15 2.0634 70 65 2.6189 137 16 2.0708 74 66 2.6327 138 17 2.0784 76 67 2.6465 138 18 2.0862 78 68 2.6604 139 19 2.0942 80 69 2.6744 140 20 2.1024 82 70 2.6884 140 21 2.1106 82 71 2.7025 141 22 2.1192 86 72 2.7166 141 23 2.1281 89 73 2.7309 143 24 2.1373 92 74 2.7453 144 25 2.1467 94 75 2.7599 146 26 2.1561 94 76 2.7745 146 27 2.1658 97 77 2.7891 146 28 2.1756 98 78 2.8038 147 29 2.1856 100 79 2.8186 148 30 2.1956 100 80 2.8334 148 31 2.2057 l01 81 2.8482 148 32 2.2160 103 82 2.8630 148 33 2.2264 104 83 2.8779 149 34 2.2368 104 84 2.8929 150 35 2.2474 106 85 2.9080 150 36 2.258l 107 86 2.9231 151 37 2.2692 111 87 2.9382 151 38 2.2803 111 88 2.9534 152 39 2.2915 112 89 2.9686 152 40 2.3028 113 90 2.9839 153 41 2.3142 114 91 2.9993 154 42 2.3256 114 92 3.0147 154 43 2.3371 115 93 3.0302 155 44 2.3488 117 94 3.0458 156 45 2.3607 119 95 3.0614 156 46 2.3726 119 96 3.0771 157 47 2.3848 122 97 3.0928 157 48 2.3970 122 98 3.1086 158 49 2.4094 124 99 3.1244 158 50 2.4218 124 ⊙ 3.1402 158   

EXAMPLE I.  
WHere the longer Axis of the Elleipsis is 1, and the shorter .78; Because the Table is made for such Elleips', enter with .78, the Perifery of that Elleipsis will be 2.8038.  
EXAMPLE II.  
The longer Axis 1, the shorter .4382, I enter with .43, gives 2.3371: Then to find the part answering to .71, say, If 100 give .117; what shall .71 give? Answ. .83, which added to 2.3371, gives 2.3454 for the Perifery desired.  
EXAMPLE III.  
Where the longer Axis is 388, the shorter 280, first say, 388: 280:: 1.000 Answ. .721, seek in the Table for .72, it gives 2.7166; then say, 1.0000: 2.7166:: 388: Answ. 1054.06, which is the Circumference desired.  
EXAMPLE IU.  
The longer Diameter 32.54, the shorter 18.64; say; 32.54: 18.64:: 1.000: 572; to which in the Table answers 2.5114, and the part proportional for 2 is 26, which makes the whole 2.5140; then 1.000: 2.5140:: 32.54: 81.805 the Perifery required. The Area or Superficies of an Elleipsis is easily got by this Rule. As the longer Diameter, is to the shorter: So is the Circle of the longer Diameter, to the Elleipsis.  
I have made above 45000 Arithmetical Operations for this Table, and am now well pleased it is finished. Some perhaps may find shorter ways, as I believed I had myself, till advised otherwise by the truly Honourable the Lord BRUNCKER. I therefore pursued the Rules given by me, in that Contemplation of the Elleipsis Printed in my Arithmetic, taking 100 Elleipsis betwixt that which falls upon the Diameter equal in this case to 2.0000 the first in the Table, and the greatest which is the Circle 3.1402 the last.  
SOLI DEO GLORIA.   

LONDON, Printed by W. G. for N. Brooke, at the Angel in Cornhill, 1676.