Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 32
= AD2 + AD . DE= AD2 + BD. DC..*. rect. BA . AC = rect. BD . DC + AD.15. Ptolemys Theorem:—The rectangle containedby the diagonals of a quadrilateral inscribed in acircle is equal to the sum of the rectangles containedby its opposite sides. This theorem is a particular caseof that of % 16. A BCD is… … FiO. 20. ADAC AD.BC = AC. DE. AB.CD + AD. BC = AC. BE + AC . DE= AC (BE + ED)= AC . BD. (Historicai, Note.—Ptolemy, a native of Egypt, flourished in Alexandria inA.l>.) SYNTHETIC GEOMETRY 16. The sum of the rectangles contained by theopposite sides of a quadrilateral is not less than…
Geometry · Geometry, Analytic
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