 | Euclides - 1847 - 128 pagina’s
...QED COR. — A circle cannot cut a st. line in more pts. than two. PROP. XVII. THEOR. GEN. ENUN. — Any two angles of a triangle are together less than two right angles. PART. ENUN. — Let ABC be any A. Then any two of its Z s are together less than two rt. Z8. DEMONST.... | |
 | Euclides - 1848 - 52 pagina’s
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. PROP. XVII. THEOREM. Any two angles of a triangle are together less than two right angles. PROP. XVIII. THEOREM. The greater side of every triangle is opposite to the greater angle. PROP. XIX.... | |
 | Euclid, Thomas Tate - 1849 - 120 pagina’s
...15.), the angle ACD, is greater than the angle ABC. Therefore, if one side, &c. QED PROP. XVLL THEOR. Any two angles of a triangle are together less than two right angles. Let ABC be any triangle; any two of its angles together are less than two right angles. Produce BC to D; and because ACD is... | |
 | Great Britain. Committee on Education - 1850 - 790 pagina’s
...been made to it ? 3. Distinguish between a direct and indirect demonstration. Section 2. 1. Show that any two angles of a triangle are together less than two right angles. •2. Draw a straight line through a given point parallel to a given straight line. 3. Show that in... | |
 | 1851 - 382 pagina’s
...had he ? 14 1 Geometry and Mensuration. 1. Bisect a given finite straight line, _ 16 _ 2. Prove that any two angles of a triangle are, together, less than two right angles, . . -, J5Examination Questions — continued. Total Number of Men Examined. Number of Satisfactory... | |
 | Euclides - 1852 - 152 pagina’s
...interior angle which is adjacent to it, as may be seen in the annexed figures.] PEOP. XVII. THEOR. Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. Produce BC to D ; and because ACD... | |
 | Euclides - 1852 - 48 pagina’s
...(Prop. 15.) ; therefore CBD is also greater than CAB. Which was to be demonstrated. PROP. ХVII. THEOB. Any two angles of a triangle are together less than two right angles. Let ABC be a triangle; any two of its angles are together less than two right angles. Produce the side AC to D... | |
 | Euclides - 1853 - 146 pagina’s
...that is (1. 15.) 6. The angle ACD is greater than the angle ABC. Therefore if one side, &c. QED PROP. XVII. — THEOREM. Any two angles of a triangle are...less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. A Produce BC to D; and because ACD... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...angle ACD, is greater than the angle ABC. Therefore, if one side, etc. QED PROPOSITION XVII. THEOR. Any two angles of a triangle are together less than two right angles. Let ABC be any triangle ; any two of its angles together are less than two right angles. triangle ABC, ACD is greater (16.... | |
 | Euclides - 1853 - 334 pagina’s
...opposite angles CAB, ABC. Which was to be proved. PEOP. XVII. THEOE. Any two angles of a triangle shall be together less than two right angles. Let ABC be any triangle. Then any two of its angles shall be together less than two right angles. Produce one of its sides BC to D. Because the side BC... | |
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Any two angles of a triangle are together less than two right angles. 
