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Advanced geometry for high schools : synthetic and analytical (1919)

McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 23

An illustration from Advanced geometry for high schools : synthetic and analytical, 1919, leaf 23
. 21. Where is the orthocentre of a rt.-Z-d A1? 22. If one escribed circle of A ABC touch AC at F andBA produced at G, and another escribed circle touch ABat H and CA produced at K, FH, KG produced cut BCproduced in points equidistant from the middle point of BC. (Note.—Use § 1, taking the two… … 8. The distance from each vertex of a triangleto the orthocentre is twice the perpendicular fromthe circumcentre to the side opposite that vertex. O is the orthocentre, S thecircumcentre of A ABC; SDis ± BC. To show that AO = twiceSD. Draw the diameter CSE,join BE, EA. Ls EBC, EAC being Ls infig.…

Geometry · Geometry, Analytic

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