 | Mathematics - 1898 - 228 pages
...circular sheet of tin 16 inches in diameter and weighing 8.2 ounces per square foot. JUNE 1896. (a) 1. The sum of the three angles of a triangle is equal to two right angles. 2. Construct a circle having its center in a given line and passing through two given points.... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...circular bed and the area of the hexagonal bed. Yale, June, J896. GEOMETRY (A). TIME, ONE HOUR. 1. The sum of the three angles of a triangle is equal to two right angles. 2. Construct a circle having its center in a given line and passing through two given points.... | |
 | James Howard Gore - Geometry - 1898 - 232 pages
...a triangle is greater than the difference of the other two sides. PROPOSITION XII. THEOREM. 79. The sum of the three angles of a triangle is equal to two right angles. Let ABC be any triangle. To prove that Z A + Z B + Z BC A is equal to two right angles. From... | |
 | Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...opposite angles of an inscribed quadrilateral are supplementary. Ex. 283. Prove by the use of Prop. 124 that the sum of the three angles of a triangle is equal to two right angles. Proposition 125. Problem. 158. At a given point in a given straight line, to erect a perpendicular... | |
 | William James Milne - Geometry - 1899 - 326 pages
...180° ; . : the required ¿. = 180° - 76° = 104°. Ex. 59. Show by each of the following figures that the sum of the three angles of a triangle is equal to two right angles, assuming that the construction lines чrе drawn as they appear to be drawn. Proof. (1) §... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...sides opposite the equal angles are called homologous sides. PROPOSITION XVIII. THEOREM. 129. Tfie sum of the three angles of a triangle is equal to two right angles. Let A, B, and BCA be the angles of the triangle ABC. To prove that ZA + ZB + Z BCA = 2 rt.... | |
 | George Albert Wentworth - Geometry - 1899 - 496 pages
...sides opposite the equal angles are called homologous sides. PROPOSITION XVIII. THEOREM. 129. Tlie sum of the three angles of a triangle is equal to two right angles. BE A c ~F Let A, B, and BCA be the angles of the triangle ABC. To prove that ZA + ZB + Z BCA... | |
 | Metal-work - 1901 - 548 pages
...pentagon are 40.5, 30.6'>, 51.25, 32.75, and 36.85; find the perimeter. Ans. 192 ft. TRIANGLES. 47. The sum of the three angles of a triangle is equal to two right angles, <>r 180°. Thus, the sum of the three angles A, B, and C, Fig. 31, is 59° + 73° + 48° =... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...equals the sum of Zs CAB and CBA That is, Z.ACD equals the sum of Zs CAB and CBA. 101. COROLLARY I. The sum of the three angles of a triangle is equal to two right angles. 102. COROLLARY II. The two acute angles of any right triangle are complementary ; ie their... | |
 | 1901 - 1226 pages
...such statements and demand no more demonstration than if a man remarked it was a warm day! Apropos of the proposition that the sum of the three angles of a triangle equals two right angles, our Socrates has a jeu d esprit that is positively cute. Quoth he : "A triangle... | |
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After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles... 
