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 . bssa*—Kbbsa* — — 2sa* + §ssaa — 4J*tf -f j* + ^ + zdds— ddss n — ca> +faa + ga +h, by fubftitution, and by (quaring, ^bbssa^ — Sbbsa* zzcca6 — 2cfa* +ffa* — 2chal -j-ggaL •+? 2gha -\-hh. — ™g + *fg + lft> D d 2 PROB. 404 GEOMETRICAL B. II; Fig. P R O B. CV. 49. There are given the three fides of the triangle ABC,and the angles A, and B, are bifefted by the UrnsAD, BE i t
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 . bssa*—Kbbsa* — — 2sa* + §ssaa — 4J*tf -f j* + ^ + zdds— ddss n — ca> +faa + ga +h, by fubftitution, and by (quaring, ^bbssa^ — Sbbsa* zzcca6 — 2cfa* +ffa* — 2chal -j-ggaL •+? 2gha -\-hh. — ™g + *fg + lft> D d 2 PROB. 404 GEOMETRICAL B. II; Fig. P R O B. CV. 49. There are given the three fides of the triangle ABC,and the angles A, and B, are bifefted by the UrnsAD, BE i to find the length of one as AD, andalfo the diilance AF to the pint of interferon F. Put ABzz<z, BCzz£, ACzzc, and ADzzx, (Geom. II. 25.) AB : AC : : BD : DC, andAB + AC : AB : : BD+DC : BD; that is, a+c : a : : b : zz BD -9 likewife a + c ; c : : b : a-\-c a+c zzCD. But (Geom. II. 26.) ADS + BDC = BAC abbe ££ that is, xx + , — ac9 and #* zz ac — - x a + cY a+c\ a -+- c\—bb a + c + t?Xa-\-c—b ac-=-ac x • — zz £C X ——r, , a + cY a + c\ whence *= ^ac X J+7+^ X a + *-*=AD. * + rAgain, AB + BD : AD : : AB : AF, that is; y/ac x a + c + b X a + c — £ . ,. * + c- + J , that is, - a + c -Y k PR03.
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