Volume 1

The elements of that mathematical art commonly called algebra, expounded in four books / By John Kersey.

  • John Kersey the elder
Date:
1673
Catalogue details

Licence: Public Domain Mark

Credit: The elements of that mathematical art commonly called algebra, expounded in four books / By John Kersey. Source: Wellcome Collection.

    271/350 (page 251)
    ? 'ow, 3. The Remainder is .. 5. To which fquare Root add the greater part; to wir, 6. The Summ is. The half of that Summ is . )> —• 2 Si -I- <^4 .J> . , . J> . , zbb 8. The fquareRoor of that half Summ is the greater part of the 7 Root fought, to wit, .i * * ^ 9. Then from the greater part of the given Binomial, from )> . . bb-\~d 1 o. Subtraft the fquare Root before found in the fourth Rep,to wir, )> . '. hb d , 11. The Remainder is. ^ 2 j 12. The half of which Remainder is.J> , , J^d 13. The fquare Root of the faid half Remainder i^ the lefTer part? ' „ , . of the Root fought, to wit..y • • 14. I fay , the two parts in the eighth and thirteenth Reps being? ' 1, \ /a connected by the fign lhall be the fquare Root fdught, to wit, 3 ^ ^ Which Root being fquared, or multiplied into it fclf, will evidently produce the given Binomial niore zbx/d. . . .. . Example 2, Let it be required to extraft the fquare Root out of7 this Binomial,.. mm 1 PXX !■ ' h — more xJ^pm. m • The Operation. r - ! ■ - I. From the Square of tfte greater pairt mm -)-* fpxxxx viz., from. 2. Subtrad the Square of the lefter part to wit,.j> . . ^mpxx m > mmmm >-1-^ 2 mpxx-j- 5. To which fquare Root add the greater part^ to wit, }> . ^^4. 6. The Summ is.^ . 2 mm 7. The half of which Summ is ... . . j . 8. The fquare Root of the faid half Summ is the greater 7 part of the Root fought, to wit..^ pi Again, from the greater part of the given Binomial,’? viz. from ... . ; 3 10. Subtract the fquare Root before found in the fourth ^ Rep, to wit,...> 11. The Remainder is i i' ^. i : i . J> mmmm —• 2 rr.pxx 4*^ ppxxxx*’ mm . m -1 - m * 1 . zmm \ . . mm , . ' s: ' -- . iwrq - m pxx . mm — ^ - m 1 12. The half of which Remainder is m , pxx ‘t «!)n. ;d o 1 m m m'A- x^/- f m .11 vf-iT 13. The fquare Root of the faid half Remainder is the leffer part of the Root fought, to w^'t-, . . . Reps, being conne«R:ed by -4, lliali be the fquare.Root] fought; to wit, ... . . .. i . .1 Which Binomial Root being fquaifed ormultipiied into it felf ,d wiU produce tfK gfyeU Binomial. ' '' ; . jwi’; i-.: i -V'b ..L - ’V.v’ . • • 4. • . / ‘ ^ Example -..m .' ivhT’r'' •• ' i/ *! / • ^ ^ ^ Tv 5 . 4 *■ a ^ Let it be required to extrad the, fquare Root but.of> ,1 » . this Binomial, ; A. .... A -^-Vaymorc ^ I i 2 ThS .'I