 | John Robertson (LL.D., of Upton Park sch.) - 1865 - 106 pagina’s
...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 - 80 pagina’s
...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 pagina’s
...rest 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 pagina’s
...9 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 pagina’s
...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 pagina’s
...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 pagina’s
...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... | |
 | Euclides - 1871 - 136 pagina’s
...hereafter how this definition may be extended, so as to embrace angles greater than two right angles. If one side of -a triangle be produced, the exterior...greater than either of the interior opposite angles. I> Let the side BC of A ABC be produced to D. Then must L ACD be greater than either L CAB or L ABC.... | |
 | Edinburgh univ - 1871 - 392 pagina’s
...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.... | |
 | 1877 - 604 pagina’s
...rhombus, each of whose sides is equal to that line, by the method employed in the first proposition. z. If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite angles. Prove this for both the interior angles. Composition. Write notes of a lesson... | |
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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. 
