 | Cambridge univ, exam. papers - 1856 - 252 pages
...into two equal 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...angles of every triangle are equal to two right angles. If two sides of any triangle be produced, the two exterior angles are together greater than two right... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...opposite 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...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 parts, the square... | |
 | 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... | |
 | 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
...Construct a triangle 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...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 inclined to... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...PROPOSITION XXVII. THEOEEM. If one side of a triangle is produced, the exterior angle is equal to the sum of the two interior and opposite angles ; and the three...triangle are equal to two right angles. Let ABC be any plane triangle, and let the side BC be produced 10 D ; then will the exterior angle ACD be equal... | |
 | 1857 - 400 pages
...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 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... | |
 | 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 angle...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 angle...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,... | |
 | 1858 - 398 pages
...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 angle...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.... | |
| |
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. 
