 | Great Britain. Committee on Education - 1855 - 976 ページ
...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...and 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... | |
 | Euclides - 1856 - 168 ページ
...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 ページ
...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...and 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... | |
 | W F. Richards - 1856 - 198 ページ
...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...and 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... | |
 | John Playfair - 1856 - 346 ページ
...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 ページ
...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...and 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... | |
 | 1857 - 400 ページ
...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... | |
 | Great Britain. Parliament. House of Commons - 1858 - 694 ページ
...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 angle is equal...and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of... | |
 | W. Davis Haskoll - 1858 - 422 ページ
...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 angle is equal...and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Reference to Fig. 33 will illustrate the value of... | |
 | Euclides - 1858 - 248 ページ
...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 angle is equal...and opposite angles, and the three interior angles of every triangle are together equal to two right angles. CONSTRUCTION. — P. 31. To draw a st. line,... | |
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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. 
