 | Charles Davies, William Guy Peck - Mathematics - 1857 - 608 pages
...greater than their difference. 3. The sum of the angles is equal to two right angles ; and if any side be produced, the exterior angle is equal to the sum of the opposite interior angles. 4. If a line be drawn parallel to the base, it will divide the other two... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...not equal. PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle tn equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. ^et ABC be any plane triangle, and... | |
 | Euclides - 1858 - 248 pages
...angle in the other. Ax. 1. Magnitudes which are equal to the same, are equal to each other. P. 16. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. EXP. Hyp. 1. „ 2. Concl. 1. „ 2. In As ABC,... | |
 | War office - 1858 - 578 pages
...roods 28 poles as the decimal of an acre. 9. Extract the square root of 3915380329, and Euclid. 1. If one side of a triangle be produced the exterior angle is greater than either of the interior opposite angles. 2. In any right angled triangle the square which... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...interest upon 166Z. 13s. in 3 years, at 4£ per cent. 10. Extract the square root of '03456. EUCLID. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a straight line be divided into any two... | |
 | Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...problems, and thus advanced gradually as far as the 32nd proposition of Euclid, which runs thus :—" If one side of a triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle are together equal to... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...sum of A and C, together with the same angle CBA, is also equal to two right angles (TV, CI) ; hence, the exterior angle is equal to the sum of the two interior and opposite angles. Cor. The exterior angle is greater than either of the interior and opposite angles. OF THE SIDES OF... | |
 | Elias Loomis - Conic sections - 1860 - 246 pages
...equal. PROPOSITION XXVII. THEOREM. * If one side of a triangle is produced, the exterior angle it, equal to the sum of the two interior and opposite angles ; and the tfoee interior angles of every triangle are equal to two right angles. Let ABC be any plane triangle,... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...base equal to one another, and also those terminated in the other extremity — (first case only). 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Any two bides of a triangle are greater than... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...number 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 lie a triangle, and let the side BCbe... | |
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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. 
