 | George Bruce Halsted - 1904 - 322 σελίδες
...off from a given tangent a sect any multiple of the segment between O and tangent. Ex. 280. If 2 AS have two sides of the one proportional to two sides of the other, and ^ s, one in each, opposite one corresponding pair of these sides = , the ^ s opposite the other... | |
 | George Bruce Halsted - 1904 - 324 σελίδες
...off from a given tangent a sect any multiple of the segment between 0 and tangent. Ex. 280. If 2 As have two sides of the one proportional to two sides of the other, and ^. s, one in each, opposite one corresponding pair of these sides = , the ^ s opposite the other... | |
 | Trinity College (Dublin, Ireland) - 1907 - 536 σελίδες
...secant to a circle are equal to the angles in the alternate segments of the circle. 8. If two triangles have two sides of the one proportional to two sides of the other, and the angles opposite one pair of corresponding sides equal, prove that the angles opposite the other... | |
 | Euclid - 1908 - 456 σελίδες
...presenting this proposition is given by Todhunter. The essential theorem to prove is : If two triangles have two sides of the one proportional to two sides of the other, and the angles opposite to one pair of corresponding sides equal, the angles •which are opposite... | |
 | Edinburgh Mathematical Society - 1920 - 460 σελίδες
...the above. The corresponding theorem in similarity may be enunciated thus : Theorem: If two triangles have two sides of the one proportional to two sides of the other and the angles opposite to one pair of corresponding sides supplementary, then the angles opposite... | |
 | Euclid - 452 σελίδες
...this proposition is given by Todhunter. The essential theorem to prove is : If two triangles haiie two sides of the one proportional to two sides of the other, and the angles opposite to one pair of corresponding sides equal, the angles whi<h are opposite to... | |
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If two triangles which have two sides of the one proportional to two sides of the other, be joined at one angle, so as to have their homologous sides parallel to one another ; the remaining sides shall be in a straight line. Let ABC, DCE be two triangles... 
