A treatise of algebra: wherein the principles are demonstrated ... To which is added, the geometrical construction of a great number of linear and plane problems .. (1809)
Simpson, Thomas, 1710-1761, Palmer (T. & G.) Philadelphia. (1809) bkp CU-BANC, Carey, Mathew, 1760-1839 · Philadelphia, Printed for M. Carey by T. & G. Palmer · leaf 302
7 _ 5\/2~l is reduced, at length, to 49 PROBLEM XXVIL Having one leg^ AC, of a right-angled triangle ABC,to find the other leg BC, so that the hijpothenuse AB shallbe a mean proportional between the perpendicular Cli fall-ing thereon^ arid the perimeter of the triangle. to Geometrical Problems* 291… … V XX -J^ aa = XX -h aa: whence a^x^ + 2a^x^ + a^x^ =;XX + aa — axY X ^^ + ^^* Divide by a^x^ (according X fl to the rule at page 156), so shall — + 2 -| = a ^ X a P X ^ a - + --M X - + -z\ which, by making z = 1 is reduced to :s + 2 = z — l|^ x z, or z^ a X — 22^ = 2. This, solved (by the rule for…
Algebra · Geometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
![An illustration from Vnderweysung der Messung : mit dem Zirkel vn[d] Richtscheyt in Linien, Ebnen vnnd gantzen Corporen (1525)](https://img.insideoutlibrary.com/img/200/ia-vnderweysungderm00drer-45-79.webp)
