 | Robert Simson - Trigonometry - 1806 - 546 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 - 714 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 - 588 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... | |
 | John Playfair - Circle-squaring - 1819 - 350 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 - 1046 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 - 546 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 - 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... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. 
