| John Playfair - 1819 - 354 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 - 234 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 - 226 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 - 168 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 - 204 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 - Euclid's Elements - 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 - 128 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 - 128 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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