68
GEODÆSIA Improved.
Example II.
Let it be required to extract the Square Root of 160, or,which is the fame Thing, to find the Length of one Side of asquare Acre.
See the Work.
> )i6o(I2, 64911
I
22) • 6044
246)1600
1476
12400
Having pointed the given Number, and wrought as before di-rected, you find 12 for your nearest Root, and 16 to remain, towhich you add two Cyphers, and find your next Figure to be 6,which you must cut or point off from the rest, as a decimalFraction; and by adding Pairs of Cyphers to each Remainder,as below, you increase it to 5 Places, which is exact enough forany thing; for if Unity were divided into a hundred Thousandequal Parts, this Root does not want 2 of those Parts ; since theSquare of 11.64911, is 159 9999837921.
2524)12400(12.64911
10096
25289)230400
227601
252981)279900
252981
2529821)2691900
2529821
remains 162079
Thus