| Euclides - 1826 - 226 páginas
...a given rectilineal angle. 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... | |
| Euclid - 1826 - 234 páginas
...sides equal to each other. 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... | |
| Robert Simson - 1827 - 546 páginas
...drawn from the vertex to the point of section divides the outward angle of the triangle into two equal angles. Let ABC be a triangle, and let one of its sides BA be produced to E; and let the outward angle CAE be divided into two equal s1ngles by the straight... | |
| John Playfair - 1832 - 358 páginas
...straight line BC. Which was to be done. PROP. XXXII. THEOR. If aside of any triangle be produced, the exterior angle is equal to the two interior and opposite...sides BC be produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,... | |
| John Playfair - 1833 - 346 páginas
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; anS- the three interior angles of every triangle are equal...sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,... | |
| Thomas Perronet Thompson - 1833 - 168 páginas
...side of a triangle be prolonged, &c. Which was to be demonstrated. PROPOSITION XXXII. THEOBEM. — The three interior angles of every triangle are equal to two right angles. Let ABC be a triangle. The three interior A angles CAB, ABC, and BCA, are together equal to two right angles. •lNTERc.12.... | |
| Euclides - 1834 - 518 páginas
...from the vertex to the point of section, divides the outward angle of the triangle into tlvo equal angles. Let ABC be a triangle, and let one of its sides BA be produced to E ; and let the outward angle CAE be divided into two equal angles by the straight... | |
| Euclid - 1835 - 540 páginas
...straight line BC. Which was to be done. PROP. XXXII. THEOR. If a side of any triangle be produced, the exterior angle is equal to the, two interior and opposite...sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC, and the three interior angles of the triangle,... | |
| John Playfair - 1835 - 336 páginas
...be together equal to two right angles. PROP. XXV. THEOR. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and (he three interior angles of every triangle are equal to two right angles. Let ABC be a triangle, and... | |
| John Playfair - 1836 - 488 páginas
...be done. x'i PROP. XXXII. THEOR. If a side of any trin iglc be produced, the exterior angle is e^ual to the two interior and opposite angles ; and the...sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,... | |
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