| Robert Simson - Trigonometry - 1806 - 546 pages
...THEOR. a 10. 1. b IS. 1. the angle the angle are oppotherefore B IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D ; the exterior angle ACD is greater than either of the interior opposite... | |
| Euclides - 1814 - 560 pages
...are together •qua! to four right angles. C PROP. XVI. THEOR. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. to D, the exterior angle ACD is greater than either of the Let ABC be a triangle, and let its side... | |
| Ralph Griffiths, George Edward Griffiths - 1815 - 572 pages
...find particularly objectionable is on proposition 16. viz. 'If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.' • Note 24. Euclid says, in the same nianner if the tide RC It bisected, it may be demonstrated, &c.... | |
| Euclides - 1816 - 588 pages
...together equal to four right angles. C D oĢ I. PROP. XVI. THEOR^. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either of the interior opposite... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...together equal to four right angles. Proposition XVI, Theorem . If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either of the interior opposite... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D: the exterior angle ACD shall be greater than either of the interior opposite... | |
| Thomas Perronet Thompson - Euclid's Elements - 1833 - 168 pages
...Which was to be demonstrated. PROPOSITION XVI. THEOREM. — If one side of a triangle be prolonged, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be prolonged to D. The exterior angle ACD is greater than either of the interior opposite... | |
| Euclid - 1835 - 540 pages
...1. c 4. I. PROP. XVI. THEOR. Book i. . If one side of a triangle be produced, the exterior v*->v-"; angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either of the interior opposite... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than either of the interior opposite... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...of the steps as given in Euclid. 89 PROPOSITION XVI. Theorem. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Steps of the Demonstration. I. Prove that (in As EAB, ECF)jba*e ^ = base Fc, 'land ZBAC = Z ACF, 2... | |
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