 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOR. If one side of a triangle be produced, the exterior...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... | |
 | Euclides - 1853 - 146 pages
...number of lines meeting in one point are together equal to four right angles. PROP. XVI. THEOREM. Jf one side of a triangle be produced, the exterior angle...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 ACL is greater than either... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...of straight linesmeeting 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 thai, either of the interior, and opposite angles. Let ABC be a triangle, and let its side BC be produced... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...the same straight line. the exterior angle, thus farmed by the adjacent side and the side produced, is greater than either of the interior opposite angles. Let the side BC of the triangle ABC be ' produced' to any point D ; the exterior angle ACD shall be greater than... | |
 | 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...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 A СD is greater than... | |
 | Robert Potts - 1855 - 1050 pages
...given point there can be drawn to a straight Hoe only two straight lines equal to one another. 10. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 12. If a straight line be divided into two equal and also into two unequal parts; the squares of the... | |
 | 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...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 a point within... | |
 | 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...greater than either of the interior opposite angles. Quest. 4. The greater angle of every triangle is opposite to the greater side. SECTION VI. — GRAMMAR.... | |
 | 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...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 = L DFE; also let... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
