STRATIOTIcOs.

Sometime it ſhalbe requiũte to take aws ſome num-ber from either part ol the Æquation, às it 3 haue 6% E.quall fo 12% 24, deducting from either part of the.quation 6%, there reſteth e Equall to 6%-24, and there-foꝛe ok neceſlitie 6% is equall to 24, foꝛ this Rule is gene-rall. That it vou bꝛing an Æquation(b ſuch Deducti-on) to à e on the one part, there muſt be ſome member inthe other connexed with the Signe Minus, the which is al-waves Equall to all the reſt of that part ot the Æquation.Sometimes Reduction is made by adding togither allluch parcels, as on the one ſide ol the Æquation haus e-guall Characters, as if 1 be Equal o;& I 6 -10 fh. Herre by adding 16% fe- 10%, there reſulteth1 6, lo that J lap i is equall to. 6 1, andbd ſame diuided by/ maketh 1 Equal fo 3 4 6 /.

4

Reduction of Fragments which ſhallhappen in Æquations toIntegers.

Wbutber kinde of Reduction there is of Fragments fowhole numbers, which commeth in vle when an k.quation is found betwærne Fractions on the one oꝛ bothparts, as if 4 f ꝙ be Equall vnto 3 2 ij by croſſe2 1multiplication of the Denominator ot the one in the Numerator ot the other, I finde theſe two numbers pꝛoduced4, and 6784 N. Betwerne theſe, the likequation remaineth, t the ſame firſt reduted by traſpoꝛtingok Signes, maketh 4 N Equall fo 2=. Thenby Addition of 6 fo 2 there relultetg 4 04&.equall to 4 A. Again, diuiding either part of p AÆquationby 4, there reſuiteth% Equall ta 11. 19. And laſlol all, deducing 1 krom both parts a the equation, 3find o equal to 121— 2% and therloꝛe of necellity as was5 5 declared