 | Edward Olney - 1883 - 352 σελίδες
...the triangles are similar (367). Q- ED Fig. 183. PROPOSITION V. 373. Theorem.— Two triangles having an angle in one equal to an' angle in the other, and the sides about the equal angles proportional, are similar. •' ' > AC DF CB FE' DEMONSTRATION. Let... | |
 | Dublin city, univ - 1885 - 476 σελίδες
...triangle expressed in terms of two sides and the included angle ? 4. Prove that two triangles which have an angle in one equal to an angle in the other, and the sides about the equal angles reciprocally proportional, are equal in area. 5. Rationalise the denominator... | |
 | Euclid - 1890 - 442 σελίδες
...perpendicular to a terminated straight line, at an extremity, without producing it. 4. If two parallelograms have an angle in one equal to an angle in the other, show that all their angles must be equal each to each. 5. If a pair of opposite sides of a parallelogram... | |
 | 1894 - 788 σελίδες
...the sides about the equal angles reciprocally proportional are equal in area. 4. Two triangles which have an angle in one equal to an angle in the other are to one another in the ratio of the rectangles contained by the sides about these angles. 5. Given... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 σελίδες
...its altitude and half the sum of its bases. (Why ?) Theorem 3. Triangles, or parallelograms, which have an angle in one equal to an angle in the other, have the same ratio as the products of the including sides. Given two triangles ABC, A B'C', having... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 σελίδες
...its altitude and half the sum of its bases. (Why ?) Theorem 3. Triangles, or parallelograms, which have an angle in one equal to an angle in the other, have the same ratio as the products of the including sides. Given two triangles ABC, A B'C', having... | |
 | Henry W. Keigwin - 1898 - 250 σελίδες
...altitude. 10. To construct a triangle, given the area, the base, and one angle. 11. If two triangles have an angle in one equal to an angle in the other, their areas are proportional to the products of the sides including the equal angles. [Place the AS... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 265 σελίδες
...and E are not mid-points of 6, a. PROPOSITION III. 282. Theorem. Triangles, or parallelograms, which have an angle in one equal to an angle in the other, have the same ratio as the products of the including sides. AB B' Given two triangles ABC, AB'C', having... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 416 σελίδες
...and E are not mid-points of 6, a. PROPOSITION III. 282. Theorem. Triangles, or parallelograms, which have an angle in one equal to an angle in the other, have the same ratio as the products of the including sides. AB B' Given two triangles ABC, AB'C', having... | |
 | Alan Sanders - 1901 - 260 σελίδες
...parallel sides is 7 in. What is the other parallel side ? PROPOSITION VIII. THEOREM 613. Triangles that have an angle in one equal to an angle in the other, are to each other as the products of the including sides. Let To Prove &ABC and DEF have ZB = ZE. AABC_AB... | |
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FGL, have an angle in one equal to an angle in the other, and their sides about these equal angles proportionals ; the triangle ABE is equiangular (6. 
