| University of Cambridge - 1849
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. **If a side of any triangle be produced, the exterior angle is equal to the** sum of the two interior and opposite angles ; and the three interior angles of every triangle are together... | |
| 1850
...equal to two right angles: the two straight lines shall be parallel to one another. 2. If one side of a **triangle be produced, the exterior angle is equal...and the three interior angles of every triangle are** together equal to two right angles. 3. If the square described upon one of the sides of a triangle... | |
| Harvey Goodwin - 1851 - 173 páginas
...finite straight line an isosceles triangle, the sides of which shall be each equal to twice the base. 2. **If a side of any triangle be produced, the exterior angle is equal to the** sum of the two interior and opposite angles ; and the three interior angles of every triangle are together... | |
| Euclides - 1852
...distance AK, touch the arc in E. Join EA, and produce it to F.] E 3 THE ELEMENTS PROP. XXXII. THEOR. **If a side of any triangle be produced, the exterior...interior angles of every triangle are equal to two** riffht angles. Let ABC be a triangle, and let one of its sides BC be produced to D; (1.) the exterior... | |
| Charles Astor Bristed - 1852
...base equal to each other, and likewise those which are terminated in the other. 2. If the sides of a **triangle be produced, the exterior angle is equal...angles of every triangle are equal to two right angles.** 3. Divide a given straight line into two such parts, that the rectangle contained by the whole and... | |
| Euclides - 1852
...XXXП. ТнЕОB. If any side of a\ triangle Reproduced, the exterior angle is equal to the two interior **opposite angles : and the three interior angles of every triangle, are equal to two right angles.** In the triangle ABC, let the side A в be produced to D ; then the exterior angle c в D is equal to... | |
| Euclides - 1853
...given point A, 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...angles of every triangle are equal to two right angles.** Let ABC be a triangle, and let one of its sides BC be produced to D; the exterior angle ACD is equal... | |
| Royal Military Academy, Woolwich - 1853
...given point A 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...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... | |
| Thomas Lund - 1854 - 192 páginas
...adjacent side and the side produced) is equal to the two interior opposite angles of the triangle; **and the three interior angles of every triangle are equal to two right angles.** Let the side AB of the triangle ABC be 'produced'toD;/CBD c shall be equal to the angles BAC, ACB taken... | |
| 1854
...mind. ' § 65. To illustrate this doctrine by an example taken from the science of magnitude. That **the three interior angles of every triangle are equal to two right angles,** is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
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