 | Euclides - 1864 - 262 σελίδες
...of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. Tf one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. Let ABCbe a triangle, and let the side BCbe produced to D. Then the exterior angle A CD shall be greater... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 σελίδες
...straight lines, (iv.) a rhombus. [C.] 28. What is (i.) a postulate? and what (ii.) an axiom f [C.] 29. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. [C.] 30. The three interior angles of every triangle are equal to two right angles. [C.] 31. To how... | |
 | Euclides - 1865 - 402 σελίδες
...made by any number of lines meeting in one point are together equal to four right angles. Prop. 16. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Prop. 1 7. Any two angles of a triangle are together less than two right angles. Prop. 18. The greater... | |
 | Euclides - 1865 - 80 σελίδες
...triangle is one-third of two right angles, or two thirds of one right angle. PROPOSITION XXXI. THEOR. If one side of a triangle be produced, the exterior angle is equal to the two interior opposite angles. Let BC, one of the sides of the triangle ABC, be produced... | |
 | 1868 - 876 σελίδες
...7s. 6d. a yard. How many yards of each did he buy ? ......... 29 GEOMETRY. 3RD DIVISION. Valurt. 1. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles 15 2. Triangles upon the same base, and between the same parallels, are equal to one another 15 3.... | |
 | Edinburgh univ - 1868 - 336 σελίδες
...of the first added to 7 of the second amount to £2, 13s. What coins are these ? 25^ March 1868. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite angles. other, each to each, but the angle contained by the two sides of the one greater... | |
 | General Medical Council (Great Britain) - 1869 - 402 σελίδες
...opposite to the equal angles, are equal to one another. 2. To bisect a given rectilineal angle. 3. If one side of a triangle be produced the exterior...greater than either of the interior opposite angles. 4. The opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects... | |
 | Euclides - 1870 - 270 σελίδες
...128f° ; of the octagon, 135°, &c. ; but none of these numbers are measures of 360°. PUOP. 16. — THEOB. If one side of a triangle be produced, the exterior angle is greater tiian eitlier of the interior opposite angles. CONS. — P. 10. To bisect a given st. line. P. 3. From... | |
 | Richard Wormell - 1870 - 304 σελίδες
...equal to the two given sides. Through the extremities draw lines parallel to the sides of the angle. 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 a triangle are together equal... | |
 | Edinburgh univ - 1871 - 392 σελίδες
...straight line. Show that your construction has given you exactly what your definition required. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Modify your demonstration so as to bring out distinctly the property of straightness to which you appeal.... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
