| Peter Nicholson - Cabinetwork - 1856 - 216 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
...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 - 368 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 - 261 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 - Geometry - 1872 - 368 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
...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 - 172 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
...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 - 398 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 - 188 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... | |
| |