Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 197
^- AP to PC is numerically equal to ^ PC Q the ratio of ^Q to QC, AC is said to be divided harmonically. Ex. 689. The bisectors of the interior and exterior angles at anyvertex of a triangle divide the opposite side harmonically. Ex. 690. Divide a given straight line harmonically in the ratio of3… … Given two similar A ABC and DEF, with two correspondingfaltitudes AH and DK. „ AH AB BC CA To prove — = -— = — = —. DK DE EF FD Argument 1. In rt. A ABH and DEK, A B — Ae. 2. ,\ AABH^ ADEK, o . ^H,oppositeZ ^_u4^,oppositeZ^g^* *z>ir, opposite Z^ Djs;, opposite Z^if/) . ^ . AB BC CA4. But = = —.…
Geometry, Plane · Geometry, Solid
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