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 . (r Sed, IX. EQUATIONS. 311 2. From A, the top of the diameter, take Fig. AD ~ ~e2LS±1ZZ1 , downwards, if 3. From D in the perpendicular DH, take DM -PX^ + r towards the left, if affir- 2rnative. 4. But when any of thefe quantities are ne^gative, fej them the contrary way. 5. From the center H with the radius^/ALV + DB1-; = \/HA2~~j. defcribe a -circle whi
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 . (r Sed, IX. EQUATIONS. 311 2. From A, the top of the diameter, take Fig. AD ~ ~e2LS±1ZZ1 , downwards, if 3. From D in the perpendicular DH, take DM -PX^ + r towards the left, if affir- 2rnative. 4. But when any of thefe quantities are ne^gative, fej them the contrary way. 5. From the center H with the radius^/ALV + DB1-; = \/HA2~~j. defcribe a -circle which will cut the parabola in feveialpoints as C. 6. From the points of intcrfection, let fallperpendiculars upon the diameter AB, andthefe will be the roots of the equation ; thefe(BC) on the right fide of AB, are affirmativeroots 5 and on the left fide, negative. Andthere are always as many real roots, as thereare points of incerfec~tion j and the reft areimpoiTible. S C H O L I U Mr If the fecond term be wanting; then pj = o,and the diameter AB coincides with VS. Then alfo AD - 1—^, and DH = \ In cubics s is wanting, and then the ra-dius HC becomes zz HA. If the numbers or coefficients be too largefor your
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