 | Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...ACD, is greater than the angle ABC. [I. 15. Wherefore, if one side &c. QED PROPOSITION 17. THEOREM. 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 BC to D. Then because... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...or theorem; as for example, To describe an equilateral triangle on a given finite straight line, or Any two angles of a triangle are together less than two right angles. After the general enunciation follows the discussion of the proposition. First, ,the enunciation is... | |
 | Robert Potts - 1868 - 434 pagina’s
...greater than the angle ABC. Therefore, if one side of a triangle, &e. QED PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles, Let ABC be any triangle. Then any two of its angles together shall be less than two right angles. A Produce any side BC to D.... | |
 | Henry Raper - 1870 - 968 pagina’s
...and bisecting AB, it would be proved that the angle ABG, or its equal CBD, is greater than A. 122. Any two angles of a triangle are together less than two right angles. Produce the side BC of the triangle ABC, to D. Then the exterior angle AC D of the triangle is greater... | |
 | Euclides - 1871 - 136 pagina’s
...perpendicular be drawn to the given line; the perpendicular will fall on the side of the acute angle. Any two angles of a triangle are together less than two right angles. , 3 c -D Let ABC be any A . Then must any two of its L s be together less than two rt. L», Produce... | |
 | Henry William Watson - 1871 - 320 pagina’s
...producing any one side of a triangle, is greater than either of the interior and non-adjacent angles, and any two angles of a triangle are together less than two right angles. p. , Let ABC be a triangle, and let the side BC be produced to D, then i st. The exterior angle ACD... | |
 | Henry William Watson - 1872 - 326 pagina’s
...producing any one side of a triangle, is greater than either of the interior and non-adjacent angles, and any two angles of a triangle are together less than two right angles. Let ABC be a triangle, and let the side BC be produced to D, then 1 st. The exterior angle AC D shall be greater... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pagina’s
...given line; the perpendicular will fall on the side of the acute angle. PROPOSITION XVII. THEOREM. Any two angles of a triangle are together less than two right angles. 3 CU Let ABC be any A . ' Then must any two of its is be together less than two rt, L s. Produce BC... | |
 | Henry Major - 1873 - 588 pagina’s
...bisected, it may be demonstrated that the angle BOG, that is the angle ACD, is greater than ABC. XVII. — 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. Produce BC to D ; and because ACD is the exterior angle of... | |
 | Euclides - 1874 - 342 pagina’s
...greater than the angle ABC. Therefore, if one side of a triangle, &c. QED PROPOSITION 17.— Theorem. Any two angles of a triangle are together less than two right angles. Let ABC be any triangle. Then any two of its angles together shall be less than two right angles. B c D Construction. Produce... | |
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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. 
