 | Euclides - 1855 - 270 pages
...angles be bisected, the bisecting lines are ¡none and the same straight line. PROP. XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let AB С be a triangle, and let its side B С be produced to D. The exterior angle... | |
 | John Playfair - Euclid's Elements - 1855 - 340 pages
...one point, are together equal to four right angles. PROP. XVI. THEOR. If one side of a triangle J>e produced, the exterior angle is greater than either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced to D, the exterior angle ACD is greater than... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...of the base equal to one another, and likewise those which are terminated in the other extremity. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. If from the ends of the side of a triangle, there be drawn two straight lines to... | |
 | George Roberts Perkins - Geometry - 1856 - 460 pages
...(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 TRIANGLES. THEOREM vII. Either side of any triangle is less than the sum of the other... | |
 | Euclides - 1856 - 168 pages
...ACE, DBC are together equal to the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three angles of every triangle are together... | |
 | 1857 - 400 pages
...triangles upon the same base and upon the same side of it, are between the same parallels. Quest. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Quest. 4. The greater angle of every triangle is opposite to the greater side. SECTION... | |
 | 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, DBF, let L ABC = L DBF, and L ACB... | |
 | 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 is described upon the side subtending... | |
 | 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 parts, the rectangles contained by the... | |
 | 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 the third. Show that the difference... | |
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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. 
