Cyclomathesis : or, An easy introduction to the several branches of the mathematics; being principally designed for the instruction of young students, before they enter upon the more abtruse and difficult parts thereof . PI. * Seft. IX. EQUATIONS. 3x5 if it is affirmative. But if any of thefe quan- be negative, they muft be taken the con- way, to what is directed above. 3. Then with the radius or diftancev/HD — s, and one foot of the compares inH, move the other foot along with thethread, round in a circle, and the weight Fwill afcend and defcend, as the thread EFmoves
Cyclomathesis : or, An easy introduction to the several branches of the mathematics; being principally designed for the instruction of young students, before they enter upon the more abtruse and difficult parts thereof . PI. * Seft. IX. EQUATIONS. 3x5 if it is affirmative. But if any of thefe quan- be negative, they muft be taken the con- way, to what is directed above. 3. Then with the radius or diftancev/HD — s, and one foot of the compares inH, move the other foot along with thethread, round in a circle, and the weight Fwill afcend and defcend, as the thread EFmoves laterally. Obferve always, when theknot n falls in the line AB, and mark allthefe points, Q, N, O, R. Then the di-ftances of thefe points from C, are the rootsof the equation ; the affirmative on the right,the negative on the left hand of C 5 thus RCis an affirmative root, and QC, NC, OC,negative ones. It is plain, this rule is founded on the the moving point of the compafs is al-ways in the curve of a parabola, when thepoint n is in the line AB. To prove which,iuppofe the parabola ADB, to be defcribed,whofe focus is E. Then by the property ofthe figure, EL + LR zz EP +1 parameter —EP + ?n or En = ED
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