| John Playfair - 1819 - 317 pages
...be done. PROP. XXXII. THEOR. 'if a side of any triangle bf produced, the exterior angle is equal to **the two interior and opposite angles ; and the three interior angles of** everif triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...to be donePROP. XXXII. THEOR. 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** twa right angles. Let ABCbeatriangle,andletoneof itssidesBCbeproducedto D; the exterior angle ACD is... | |
| Euclid - 1826 - 180 pages
...PROPOSITION XXXII * THEOREM. One side of any triangle being produced, the exterior angle is equal to **the two interior and opposite angles, and the three interior angles of** a triangle are equal to two right angles. Let ABC be a triangle ; and let one of its sides вс be... | |
| Euclides - 1826 - 228 pages
...PROPOSITION XXXII* THEOREM. One side of any triangle being produced, the exterior angle is equal to **the two interior and opposite angles, and the three interior angles of** a triangle are equal to two right angles. Eoint c draw CE parallel to the right neAB ; a and because... | |
| Francis Joseph Grund - Geometry, Plane - 1830 - 274 pages
...angles in a triangle is equal to two right angles. 16. If one of the sides of a triangle is extended, **the exterior angle is equal to the sum of the two interior** opposite angles. 17. The exterior angle is greater than any one of the interior opposite angles. 18.... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 150 pages
...demonstrated by Euclid till Book XI. PROPOSITION XXXI. THEOREM. — If a side of any triangle be prolonged, **the exterior angle is equal to the sum of the two interior and opposite angles.** Let ABC be a triangle, and let one of its sides, as BC, be produced to D. The exterior angle ACD shall... | |
| Francis Joseph Grund - Geometry, Plane - 1834 - 206 pages
...angles in any triangle, is equal to two right angles. 16. If one of the sides of a triangle is extended, **the exterior angle is equal to the sum of the two interior** opposite angles. 17. The exterior angle is greater than either of the interior opposite ones. 18. If... | |
| John Playfair - Geometry - 1837 - 332 pages
...line BC. PROP. XXXII. THEOR. / 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** rightfmgles. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exteripr angle... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, t/ie ex-terior angle is equal to **the two interior and opposite angles; and the three interior angles of every triangle are** together equal to two riffht angles. Let ABC be a ^\, and the side BC be prod, to D. Then shall the... | |
| Great Britain. Admiralty - Geometry - 1846 - 130 pages
...PROP. XXXI. THEOR. 32. 1 Eu. 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** together equal to two right angles. Let ABC be a ^, and the side BC be prod, to D. Then shall the ext.... | |
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