 | Euclides - 1852 - 48 pagina’s
...proved that the angles DBA and i» EC are equal. Which was to be demonstrated. PROP. XVI. THEOB. If one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. Let the side AB of the triangle A в c be produced to D ; the exterior angle CBD is greater than either... | |
 | Charles Astor Bristed - 1852 - 470 pagina’s
...EXAMINATION. WEDNESDAY, Jan. 1, 1845. 9. ..11£. [NB The Differential Calculus is not to be employed.] 1. IF one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. a. In equal circles equal circumferences are subtended byequal straight lines. 3. A Turkey carpet,... | |
 | Euclides - 1853 - 146 pagina’s
...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...let its side BC be produced to D, the exterior angle ACL is greater than either of the interior opposite angles CBA, BAC. A Bisect (I. 10.) AC in. E, join... | |
 | Euclides - 1853 - 176 pagina’s
...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...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 С d is greater than... | |
 | Euclid, John Playfair - 1853 - 336 pagina’s
...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... | |
 | Euclides - 1855 - 270 pagina’s
...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...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 pagina’s
...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 angle...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 - 252 pagina’s
...DIVISION.— (B.) 1. To bisect a given finite straight line, that is, to divide it into two equal parts. 2. If one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. 4. The straight lines which join the extremities of two equal and parallel straight lines towards the... | |
 | 1857 - 400 pagina’s
...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...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 pagina’s
...greater than the third side. Ax. 4. If equals be added to unequals, the sums will be unequal. P. 16. If one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. Given the A ABC, and from B &C the st. lines BD, CD meeting within the A in the pt.D ; then BD and... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
