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T A B L E

0 F

The Contents of the First and Second B O O K 8

of this Treatise.

The Contents of the First Book.

Chap.’

I. TAE/wfe, concerning the Nature, Scope, and kinds of Algebra :

J_ ) The ConliruUion 0/Coffick Quantities or Powers, with the manner

of expreffinf them by Alphabetical Letters : The signification of cha-rafters used in the Fir 8 Book.

2. Addition ,

3 . SubtraCTion,

4. Multiplication ,5» Divifion,

?# Algebraical Integers, both Simple and Compound.

6. The like Operations in Algebraic^ Fra&ions.

7. 7 Æe Rule of Three in Quantities represented by Letters.

8 . An Introdu 3 ion to the Extraction of Roots out of Algebraic^ Quantities -

the compleat Dottrine thereof being delivered in the first, second, thirdand fimrth Chapters of the Second Book.

9. How by any two of the three Members of a Square formed from a Bino~

mial Root , to find out the third Member.

10. A Collection of eafie Questions to exercise the preceding Rules.

11. Concerning ati Equation , and the Redu&ion of Equations.

12. The use of the Redu&ions in the foregoing Chap. II.

13. The manner of converting Analogies into Equations, and Equations into

Analogies.

14. The Resolution of Simple Equations exercis'd in 28. Question?.

15. Concerning the Resolution of such Compound Equations wherein there

are two different Powers of the Quantity fought, and those Powerssuch j that the higher of them is a Square , whoje Side or square Rootis the lower Power.

1 6. The Equations of the foregoing Chap. 15. are exercis'd in 28. Question?,

rejolved as well by Numeral as Literal Algebra.

17. Of Arithmetical Progrejjion , where Air, Ought red’; Twenty Quell ions

upon this Subject are explained.

The