 If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Given two triangles ABC and A'B'C', having the angle A equal to the angle A'.  The Elements of Plane Geometry - Side 180av Charles Austin Hobbs - 1899 - 240 siderUten tilgangsbegrensning - Om denne boken
 | William James Milne - 1899 - 398 sider
...to their altitudes. § 336 c. To the products of their bases by their altitudes. § 336 d. If they have an angle of one equal to an angle of the other, to the products of the sides including the equal angles. § 340 e. If they are similar triangles, to... | |
 | Thomas Franklin Holgate - 1901 - 462 sider
...I.) Similarly the other pairs of sides may be shown proportional, two and two. PROPOSITION IV 251. If two triangles have an angle of one equal to an angle of the other, and the sides including these angles proportional, the triangles are similar. BC Let ABC and A'B'C' be... | |
 | James McMahon - 1903 - 380 sider
...equals AB"C", and is therefore similar to ABC. Two sides and a non-included angle. 45. THEOREM 11. If two triangles have an angle of one equal to an angle of the other, and if the sides about another angle in each are proportional (in such a way that the sides opposite the... | |
 | John Alton Avery - 1903 - 136 sider
...of two similar polygons equals the ratio of the squares of any corresponding sides. 192. Theorem IX. If two triangles have an angle of one equal to an angle of the other, the ratio of the areas of the triangles equals the ratio of the products of the sides including the... | |
 | American School (Chicago, Ill.) - 1903 - 390 sider
...A', and ^^_ = — — A. 1 1 ./Y li Therefore the triangles ABE and A' B' E' are similar, for they have an angle of one equal to an angle of the other, and the sides including these angles proportional (Theorem LIII). Again, since the polygons are similar,... | |
 | James McMahon - 1903 - 382 sider
...therefore similar to ABC. Two sides and a non-included angle. 45. THEOREM 11. If two triangles l:ave an angle of one equal to an angle of the other, and if the sides about another angle in each are proportional (in such a way that the sides opposite the... | |
 | Fletcher Durell - 1911 - 553 sider
...perpendiculars from B and C, instead of from A. and D, COMPARISON OF POLYGONS PROPOSITION VIII. THEOREM 39 7 . If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. Given the A... | |
 | Fletcher Durell - 1904 - 382 sider
...from B and C, instead of from . I and /•'. COMPARISON OF POLYGONS PROPOSITION VIII. THEOBEM 397. If two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. A Given the... | |
 | Fletcher Durell - 1904 - 232 sider
...bases. 392. Any two triangles are to each other as the products of their bases and altitudes. 397. // two triangles have an angle of one equal to an angle of the other, their areas are to each other as the products of the sides including the equal angles. 398. The areas... | |
 | Levi Leonard Conant - 1905 - 154 sider
...the line is accessible and the point is not. 739. If two triangles have one angle of one equal to one angle of the other, and a second angle of one supplementary...the sides about the third angles, are proportional. 740. AD bisects the angle A of the triangle ABC, and meets the base at D ; prove that if circles are... | |
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