The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals (1861)
Lardner, Dionysius, 1793-1859 · London : Print. for Taylor and Walton · leaf 320
pon the base A C, the angle ABC willright, and the point F itself is one of the points whichsolve the problem; for in that case A F, B F, and C Fare equal. The other point D is the foot of a perpen-dicular BD from the vertex on the base.(13) Cor. — Hence, in a right-angled triangle, the… … 802 APPENDIX I. Sciiol. — It has been observed by some elementary writers, thatthe solution of the problem to draw a line to the base which shall bea mean proportional between the segments, is impossible when thevertical angle is acute. That this is erroneous, must be evident fromthe preceding…
Geometry
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