 | Euclides - Geometry - 1853 - 334 pages
...angle shall be equal to the two interior and opposite angles ; (2) the three interior angles shall be together equal to two right angles. Let ABC be a triangle,...and let one of its sides BC be produced to D. Then (1) the exterior angle ACD shall be equal to the two interior and opposite angles ABC, BAC; (2) the... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...A parallel to the given straight line BC. Which was to be done. PROPOSITION XXXII. THEOR. If a side of any triangle be. produced, the exterior angle is...the two interior and opposite angles ; and the three inferior angles of every triangle are equal to two rigJit angles. Let ABC be a triangle, and let one... | |
 | Insurance - 1853 - 394 pages
...triangle be produced (1) the exterior angle is equal to the two interior and remote angles, and (2) the three interior angles of every triangle are together equal to two right angles. 28. Show that in any right-angled triangle, the square which is described upon the hypothenuse, that... | |
 | 1855 - 264 pages
...perpendicular to a given straight line of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior angle is...every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon the same side of it are between the same parallels .... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of it, are between the same parallels.... | |
 | Euclides - 1855 - 270 pages
...exterior angle is equal to the ttco interior and opposite angles ; and the three interior angles oj every triangle are together equal to two right angles....and let one of its sides BC be produced to D. Then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC. And the three interior... | |
 | John Playfair - Geometry - 1855 - 334 pages
...drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the tivo interior and opposite angles ; and the three interior angles of tvery triangle are equal to two... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...to equal sides, show that these two triangles are not necessarily equal to one another. 4. If a side of any triangle be produced, the exterior angle is...every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...equal, each to each : and also the third angle of the one to the third angle of the other. 6. If a side of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are equal to two right angles. 7. If a parallelogram and a triangle be upon the same base, and between... | |
 | Euclides - 1856 - 168 pages
...together equal to the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal...the two interior and opposite angles; and the three angles of every triangle are together equal to two right angles. Let ABC (Fig. 9) be a triangle, and... | |
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IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. 
