Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 61
is the required locus, a straight line, the median on BC. * Note. — The beginner should defer reading this exercise until hehas read the chapter on the straight line. 44 AXALYTICAL GEOMETRY Ex. 6. In a A OCD, we are given the base = c, and the sum of the two varying sides = m. The altitude CM is… … And mc=cd-md^ (m = {m—yy—(c— xy.yf - (c - xy (1). Reducing, this gives 2 ex — 2 my + m} — c^ = 0,which is the required locus, a straight line. Another solution :Take the origin at the mid-point of the base. Let the A be ABC.Then AC = MP = ?/,And BC = m — y.Now, BC= AC+AB-2AB X AM, Pix,y) or, (m —…
Geometry, Analytic
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