Arithmetic, Part 1 · Section 39 – Section 40

Arithmetic · Part 1 · Section 39 – Section 40

p. 150Here followeth a Table of Roots and their Squares from 1, to 1000.

p. 1511 Cent.

p. 1532 Cent.

3 Cent.

4 Cent.

5 Cent.

6 Cent.

p. 1575 Cent.

6 Cent.

p. 1587 Cent.

8 Cent.

p. 1597 Cent.

8 Cent.

p. 1619 Cent.

Extraction of the Cube Root.

ACube is a ſolid, or Body contained within ſix equal ſquares; and may be fitly repreſented by a Die.

When a Cube is given, as is 435̇519̇512̇; point the Number as you ſee in the place of Unity, and every third figure after; then ſee what is the root of the greateſt Cube contained under the firſt point toward the left hand; that is, in 435, it will be found 7, (for 8 times 8, taken 8 times is 5 12, which is too much) put this 7 for the firſt figure in the quotient, having taken the Cube thereof, which is 343, out of 435: thus, …

p. 163And ſo the firſt work is done.

So the quotient might be 6, but muſt be but 5, becauſe the Cube of the new quotient, and 210 times the ſquare of the ſaid quotient, muſt be allowed in this worke, as followeth.

Which taken from the ſecond remaine, there remaines now thirdly nothing. And therefore the laſt quotient 8, put to the former two, it is 75.8 for the whole Root, as may be tryed by multiplying 758 into it ſelfe; and the product againe by 758, then the laſt product ſhall be equal to the whole Cube, which was given at firſt to be reſolved.