 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 together equal to two right angles. Let ABCbe a triangle, and let one of its sides UCbe produced to D. Then the exterior angle A CD shall be... | |
 | John Paxton Hall - 1860 - 186 pages
...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 together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line... | |
 | Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle are together equal to two right angles." One day, when he was busied with the demonstration of this theorem, his father caught him in the act... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...of a triangle be 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. 5. Parallelograms upon equal bases and between the same parallels are equal to one another. 6. If a... | |
 | Joseph Charles Parkinson - 1860 - 154 pages
...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 together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PBOP. XLIV. — To a given straight... | |
 | Civil service - 366 pages
...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 together equal to two right angles. Enunciate and prove the corollaries of the last proposition. PROP. XLIV. — To a given straight line... | |
 | John Fellows - Mysteries, Religious - 1860 - 376 pages
...four. Of the geometrical theorems ascribed to Pythagoras, the following are the principal ; that the interior angles of every triangle are together equal to two right angles; that the only polygons which fill up the whole space about a given point, are the equilateral triangle,... | |
 | Euclides - 1862 - 140 pages
...triangle are equal to two right angles. (References— Prop. I. 13, 29, 31; ax. 1, 2.) Hypothesis. — Let ABC be a triangle, and let one of its sides BC be produced to D. Sequence.—!. The exterior angle ACD shall be equal to the two interior and opposite angles CAB, ABC.... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...of a triangle be produced, the exteriorangle is equal to the sum of the two interior and. opposite angles. Let ABC be a triangle, and let one of its sides, BC be produced towards D ; then the exterior angle ACD is equal to the two interior and opposite -Q/_ \/ -Q angles,... | |
 | Euclides - 1862 - 172 pages
...triangle be produced; then 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. (References— Prop. i. 13, 29, 31 ; ax. 2.) Let ABC be a triangle, and let one of its sides BC be... | |
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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. 
