 | Rupert Deakin - 1891 - 102 sider
...produced, the exterior angle shall be greater than either of the interior and opposite angles. 17. Any two angles of a triangle are together less than two right angles. 18. The greater side of every triangle has the greater angle opposite to it. 19. The greater angle... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 sider
...show that the exterior angle is greater than either of the interior opposite angles. Hence show that any two angles of a triangle are together less than two right angles. (10-) 8. Define a parallelogram. Show that opposite angles of a parallelogram are equal. Let P be any... | |
 | 1894 - 592 sider
...but, as we maintain, by a faulty method of argument, for it is as if he had attempted to prove that " any two angles of a triangle are together less than two right angles " by actually measuring a few triangles instead of proving it on more general principles. Evolutionists,... | |
 | Queensland. Department of Public Instruction - 1897 - 446 sider
...allowed.) G 1. When is one proposition said to be the conreme of another. Write out the converse of — "Any two angles of a triangle are together less than two right angles." 6 2. Show clearly by figure and explanation what is meant by (a) the parallelograms about the diagonal... | |
 | Augustus De Morgan - 1898 - 316 sider
...less than two right angles, is not an assumption but a consequence of his proposition which shows that any two angles of a triangle are together less than two right angles, and which is established before any mention is made of parallels. It has been found by the experience... | |
 | Seymour Eaton - 1899 - 362 sider
...that is, the angle ACD — is greater than the angle ABC (Proposition 15). PROPOSITION 17. THEOREM Any two angles of a triangle are together less than...angles. Let ABC be any triangle ; any two of its angles are together less than two right angles. Construction : Produce BC to D. Proof: Then because ACD is... | |
 | Thomas Franklin Holgate - 1901 - 462 sider
...side AC. EXERCISES 1. Show that ZA is less than ZAEF, and that ZF is less than PROPOSITION XIII 60. Any two angles of a triangle are together less than two right angles. SUGGESTIONS FOR PKOOF. Produce one side of the triangle and so form an exterior angle. This exterior... | |
 | Euclid - 1901 - 672 sider
...triangle can not be equal to two right angles. This follows from the 17th Prop. in which it is proved that any two angles of a triangle are together less than two right angles. Bil. makes the following note on this proposition : — ' Epicurus and such as followed him derided... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 sider
...produced, the exterior angle so formed is greater than either of the interior opposite angles. COR. 3. Any two angles of a triangle are together less than two right angles. COR. 4. Every triangle has at least two of its angles acute. COR. 5. If two triangles have two angles... | |
 | Euclid - 1904 - 488 sider
...angle ACD : I. 15. therefore also the angle ACD is greater than the angle ABC. PROPOSITION 17. THEOREM. Any two angles of a triangle are together less than two right angles. A Let ABC be a triangle. Then shall any two of the angles of the triangle ABC be together less than... | |
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ANY two angles of a triangle are together less than two right angles. 
