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
 | 1857 - 398 pages
...sides of a triangle, parallel to the base; and prove that the line so drawn bisects the other side. 5. If a side of any triangle be produced, the exterior...is equal to the two interior and opposite angles. If the triangle is equilateral, what is the relation between the exterior angle and the adjacent interior... | |
 | W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...18th, Book I. The greater side of every triangle is opposite to the greater angle. The 32nd, Book I. If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles. Reference to Fig. 33 will illustrate the value of the above in triangular surveying. The line DC falls... | |
 | Euclides - 1858 - 248 pages
...Def. 35, C. 6 Conel. 1 C.3&2, P.29 2 3 P. 4. Cor. P. 15. PROP. 32. — THEOR. — (Very Important.) 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. CONSTRUCTION. — P. 31. To draw a st. line, through a fjiven point,... | |
 | Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...less than the other two sides of the triangle, but shall contain a greater angle. 3. PKOP. XXXII.— 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. 4. Enunciate and prove the corollaries of the last proposition.... | |
 | 1858 - 398 pages
...less than the other two sides of the triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— 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. 4. Enunciate and prove the corollaries of the last proposition.... | |
 | War office - 1858 - 578 pages
...the first line shall be equidistant from the two extremities of the finite line ? 2. If a side of a triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are together equal to two right angles. State Euclid's corollaries to this proposition. VOLUNTARY PORTION.... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle tn equal to the sum of the two interior and opposite angles ; and the three...angles of every triangle are equal to two right angles. ^et ABC be any plane triangle, and let the side BC be produced uo D ; then will the exterior angle... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...of -0031843449. EUCLID. 1. If a side of a triangle be produced the exterior angle is equal to both the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Hence show that all the exterior angles of any rectilineal figure... | |
 | Euclides - 1860 - 286 pages
...drawn through the given point A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles. Given a triangle ABC, having one of its sides BC produced to D ; to prove that the exterior angle ACD... | |
 | Civil service - 366 pages
...less than the other two sides of the triangle, but shall contain a greater angle. PROP. XXXII. — 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. Enunciate and prove the corollaries of the last proposition. PROP.... | |
| |