 | Peter Nicholson - Cabinetwork - 1856 - 518 pages
...two lines AD, DB, therefore AB'=AC*+BC9. THEOREM 54,. 125. Two triangles, which have an angle of the one equal to an angle of the other, are to each other as the rectangle of the sides about the equal angles. Suppose the two triangles joined, so as to have... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 pages
...have equal bases and equal altitudes are equal. G. Prove that two triangles which have an angle of the one equal to an angle of the other are to each other as the rectangles of the including sides. ENGLISH. I. Correct, criticize, and recast the following... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...similitude of the triangles. PROPOSITION VIII.— THEOREM. 22. Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Two triangles which have an angle of the one... | |
 | Euclid - Geometry - 1872 - 284 pages
...equal angles are reciprocally proportional (AB to BC as LB to BD). And if two triangles (ABD and CBL), have an angle of one equal to an angle of the other, and the sides about the equal angles reciprocally proportional, they will be equal to one another.... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...similitude of the triangles. PROPOSITION VIII.— THEOREM. 22. Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. Two triangles which have an angle of the one... | |
 | David Munn - 1873 - 160 pages
...To find the area of any polygon 43 EXERCISES (4) 44 VIII. Two triangles which have an angle of the one equal to an angle of the other, are to each other as the products of the sides including the equal angles 47 IX. The areas of similar triangles are to... | |
 | William Alexander Willock - Circle - 1875 - 196 pages
...ratio of AO to BO, the sides of the squares, as stated. 27. The Areas of Equiangular Parallelograms are to each other in a Ratio Compounded of the ratios of their Sides. • LetABA,B, and CDC,D, be the equiangular parallelograms, and suppose them so placed... | |
 | 1876 - 646 pages
...two triangles are similar when they are mutually equiangular. 2. Two triangles having an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. 3. To inscribe A circle in a given triangle.... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...4 ^ QED GEOMETRY. — BOOK IV. PROPOSITION XIII. THEOREM. 341. Two triangles having an angle of the one equal to an angle of the other are to each other as tAe products of the sides including the equal angles. D. Let the triangles ABC and ADE have the... | |
 | George Anthony Hill - Physics - 1880 - 204 pages
...equiangular with respect to each other. (b) K they have their homologous sides proportional. (c) If they have an angle of one equal to an angle of the other, and the sides including these angles proportional. (18) The perpendicular upon the hypothenuse of a... | |
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If two triangles have an angle of one equal to an angle of the other... 
