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 together equal to two right angles. The Element of Geometry - Page 13by John Playfair - 1836 - 114 pagesFull view - About this book
 | John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...an equilateral and equiangular pentagon in a given circle. 4. Show how to trisect a right angle. 5. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 6. The angles in the same segment of a circle are equal to one... | |
 | Free Church of Scotland. College Committee - Theological seminaries - 1882 - 142 pages
...another upon one side of it, are either two right angles, or are together equal to two right angles. 2. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. 3. The complements of the parallelograms which are about the diameter... | |
 | Education - 1882 - 676 pages
...base, etc.] 2. State the particular enunciation (only) of the twenty-seventh proposition of Book I. 3. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. Algebra. ¿=4, f =6. 2. Multiply ЬУ J^ + pr + o. 3. Solve the... | |
 | Herbert Spencer - Psychology - 1882 - 722 pages
...foregoing theorem is inconveniently long. Wo shall find a fitter one in Proposition xxxii. " If the side of any triangle be produced, the exterior angle...and the three interior angles of every triangle are together equal to two right angles. " Let ABC be a triangle, and let one of its sides BC be produced... | |
 | 1882 - 374 pages
...of the base are equal. Prove this, if you so prefer, by the method of superposition. 2. Prove that the three interior angles of every triangle are equal to two right angles; and that all the interior angles of any rectilineal n'gure, together with four right angles, are equal... | |
 | Marianne Nops - 1882 - 278 pages
...two right angles. SUMMABY OF PROPOSITION XXXII., THEOREM 22.If a side of any triangle be produced (1) the exterior angle is equal to the two interior and opposite angles, (2) and the three interior angles of every triangle are together equal to two right angles. I. To show... | |
 | Education, Higher - 1882 - 498 pages
...diagonals of a parallelogram are together equal to the squares of the four sides. 12. If a side of a triangle be produced the exterior angle is equal to the two interior, opposite angles ; and the three interior angles of every triangle are together equal to two right angles.... | |
 | Euclides - 1883 - 176 pages
...to two straight lines which meet at a point, these two shall be in the same straight line. PROP. 32. THEOR. If a side of any triangle be produced, the...and the three interior angles of every triangle are together equal to two right angles. Given A ABC having ^ BC produced. To prove L ACD = LA Also, LA... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...shall be greater than the angle contained by the sides equal to them of the other. Euclid, I., 24. 2. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. Euclid, I., 2. 3. Equal triangles upon the same base and upon the... | |
 | Euclides, James Hamblin Smith - 1883 - 376 pages
...lines in B and C, so that BC may be equal to a given straight line. PROPOSITION XXXII. THEOREM. If a Me of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are together equal to tiro right angles. .n Let ABC be a A , and let one of its sides, BC, be produced... | |
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