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 . andletting fall perpendiculars on CD, we (hall havePS zz —3, QT = + 4, and KTzz—10, thethree roots required, Ex. #? — i yxz + &2x— 120 zz o. !2, The radius OB = ^2^9— 246 zz 4, fp — — , the diftance of CD below AB, and V^ + ip zzZl^l^im - 21/>/>—32 269—246 3 — zz— 4*°3li tne diftance ofGZ below AB. Take BP the third part ofBG, and making PQ z


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 . andletting fall perpendiculars on CD, we (hall havePS zz —3, QT = + 4, and KTzz—10, thethree roots required, Ex. #? — i yxz + &2x— 120 zz o. !2, The radius OB = ^2^9— 246 zz 4, fp — — , the diftance of CD below AB, and V^ + ip zzZl^l^im - 21/>/>—32 269—246 3 — zz— 4*°3li tne diftance ofGZ below AB. Take BP the third part ofBG, and making PQ zz QKzzKP ; and mea-suring the perpendiculars upon CD, we havePS zz +4, QT zz + 10, and KV = + 3, th<roots of the equation. £x\ y3 — 1 jy + 12 zz In this example pzzo, therefore CD coin-cides with ABj and radius OBzz-Jv—$qzz W& = i and — - = ~ = 277 i diftance of ZG above AB. Take archBPzzf arch BG, and make PQzzQKzzKP3and let fall perpendiculars on AB, thcrPS zz + 1, QT zz + 3, and KV zz — 4, th<three roots required.* 14. Cubic equations may alfo be conftrued b)a cubic parabola and a right line. Let FVACb? a cubic parabola, whofc laws rectum is 1 Dra\. ABC I)


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