 | Euclides - 1853 - 146 pages
...parallel to the given straight line BC. Which was to be done. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal...opposite angles; and the three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 equal...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... | |
 | 1855 - 264 pages
...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 equal...opposite angles; and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon... | |
 | 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...opposite angles; and the three interior angles of every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...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 equal...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 5. If a straight line be divided into any two... | |
 | Euclides - 1856 - 168 pages
...are 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...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... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...angles. 2. Any two sides of a triangle are together greater than the third side. 4. If a side of any triangle be produced, the exterior angle is equal...opposite angles; and the three interior angles of every triangle are equal to two right angles. If two sides of any triangle be produced, the two exterior... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle oe produced, the exterior angle is equal to the two interior and opposite angles ; andlthe three interior angles of every triangle are equal to two right i Let ABC be a triangle, and... | |
 | Henry Latham - 1857 - 390 pages
...of which the base, the sum of the other sides, and the vertical angle are given. 2. If a side of any triangle be produced, the exterior angle is equal...opposite angles, and the three interior angles of every triangle are together equal to two right angles. At what angles are the sides of a regular duodecagon... | |
 | 1857 - 400 pages
...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 angle 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... | |
| |
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. 
