| Joe Garner Estill - Geometry - 1896 - 168 pages
...s= — g (Use logarithms.) Princeton, June, 1894. What text-book have you read ? 1. Prove that the **sum of the three angles of a triangle is equal to two right** angles. Define triangle, right angle, right triangle, scalene triangle. 3. Prove that an angle inscribed... | |
| Joe Garner Estill - 1896 - 186 pages
...value. Princeton, June, 1896. State what text-book you have read and how much of it. 1. Prove that the **sum of the three angles of a triangle is equal to two right** angles ; and that the sum of all the interior angles of a polygon of u sides is equal to (n—2) times... | |
| Ephraim Hunt - Geometry - 1896 - 120 pages
...three angles of any triangle ? LESSON XXV. Review Lesson XIV. Draw any scalene triangle. PROBLEM. The **sum of the three angles of a triangle is equal to two right** angles. Solution. Letter the triangle, and produce the base to D. (1) The exterior angle and its adjacent... | |
| Albert Newton Raub - English language - 1897 - 272 pages
...substituted. Truism for truth. — A truism is a self-evident truth ; as, " All men are bipeds." " The **sum of the three angles of a triangle is equal to two right** angles " is a truth, but it needs proof or demonstration, and is not therefore a truism. Try for make.... | |
| Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 490 pages
...logarithms.) Princeton, June, Í896. State what text-book you have read and how much of it. 1. Prove that the **sum of the three angles of a triangle is equal to two right** angles; and that the sum of all the interior angles of a polygon ofя sides is equal to (n — 2) times... | |
| 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... | |
| Florian Cajori - Mathematics - 1898 - 512 pages
...short, came to make perfect demonstrations. In this way he arrived unaided at the theorem that the **sum of the three angles of a triangle is equal to two right** angles. His father caught him in the act of studying this theorem, and was so astonished at the sublimity... | |
| William James Milne - Geometry - 1899 - 326 pages
.... : 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) §... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...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... | |
| 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... | |
| |