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 (1763)
Emerson, William, 1701-1782, Adams, Charles Francis, 1807-1886, former owner. BRL, Adams, John Quincy, 1767-1848, former owner. BRL, Boston Public Library) John Adams Library BRL · London : Printed for J. Nourse ... · leaf 442
gle ABC there is given AB, and the angle B, and the ratio of AC to BC, to find the fides. Let fall AD on BC ( produced ); and putAB zzi9 AC = a9 the ratio of AC to CB as I tor, then CB s± ra9 and cof. ACB = c. Then rad.(1) : AC (a) : : S.DAC (<r) : ca = DC. Then(Geom. II. 22.) bb zz aa + mza +… … Pl.VI./w.^ a o fl.q K *&i Y< 3*1+ .bauV Seft. VII. PROBLEMS. 421 Let AB=*f BCzzc, CDzzd, DA=/, S. <B=:^Fig.S.D zz q. Then by the laft problem, the area of 65. the triangle CBA = S-, and the triangle CDA SB ze — *, therefore the trapezium zz ^ v . P R O B. CXXI. In the triangle WNE, there is given…
Mathematics
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