| Robert Simson - Trigonometry - 1806 - 518 pages
...four right angles. Book I. PROP. XVI. 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... | |
| John Mason Good - 1813 - 722 pages
...straight lines cut one another, the vertical, or opposite, angles shall be equal. Prop. XVt Theor. **If one side of a triangle be produced, the exterior angle is** greater than «jtherof the interior opposite angles. Prop. XVII. Theor. Any two angles of a trianд]е... | |
| Ralph Griffiths, George Edward Griffiths - 1815 - 572 pages
...been introduced. The first note which, we 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... | |
| Euclides - 1816 - 528 pages
...of lines meeting m one point, are together equal to four right angles. C D o« 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... | |
| Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...of straight lines meeting in one 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, and opposite angles. Let ABC be a triangle, and let its side BC... | |
| Peter Nicholson - Mathematics - 1825 - 372 pages
...of lines meeting in one point, are 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... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...any number of lines meeting in one 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... | |
| 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.... | |
| Pierce Morton - Geometry - 1830 - 584 pages
...(A} A triangle cannot have more than one right angle, or more than one obtuse angle . . nor. 7 (i) **If one side of a triangle be produced, the exterior angle is** greater than either uf the interior and opposite . . ._ cor. 7 (i) If one side of a triangle be greater... | |
| 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... | |
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