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Plane and solid geometry (1912)

Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 229

An illustration from Plane and solid geometry, 1912, leaf 229
. Any two parallelograms are to each otheras the products of their bases and their altitudes. Hint. Give a proof similar to that of § 479. 484. Cor. III. (a) Two parallelograms having equalbases are to each other as tJieir altitudes, and (b) two par-allelograms having equal altitudes are to each… … A b C Given A ABC, with base b and altitude 7i.To prove area of A ABC = ^b*h. Argument 1. Through A draw a line 11 CB, and through B draw a line 11 CA, Letthese lines intersect at X 2. Then AXBC is a O. 3. .-. A ABC = 1 O AXBC. 4. But area of AXBC =bh. 5. /. area oiAABC = ^b h. q.e.d. 486. Cor. I.…

Geometry, Plane · Geometry, Solid

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