Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 31
. AB . AC = rect. AX . AD. H. If the vertical angle of a triangle is bisectedby a straight line which also cuts the base, therectangle contained by the sides of the triangle isequal to the rectangle contained by the segmentsof the base together withthe square on the straightline which bisects the… … AREAS OF RECTANGLES 19 111 As BAD, EAC Z BAD = Z EAC, Z ABD = Z AEC,.*. Z ADB = Z ACE and the As are similar;i BA EA heDCe AD = AC and .\ BA . AC = AD . EA.But AD . EA = AD (AD + DE) = AD2 + AD . DE= AD2 + BD. DC..*. rect. BA . AC = rect. BD . DC + AD.15. Ptolemys Theorem:—The rectangle containedby…
Geometry · Geometry, Analytic
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