 | Euclides - 1870 - 270 pages
...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 - Geometry, Plane - 1870 - 304 pages
...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... | |
 | Schools - 1877 - 604 pages
...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...angles. Composition. Write notes of a lesson on Barley. END OF FOURTH YEAR. Three hours and a half allowed. Arithmetic. Work three questions. MALES. 1. What... | |
 | Edinburgh univ - 1871 - 392 pages
...given 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 angle is greater than either of the interior opposite angles. Modify your demonstration so as to bring out distinctly the property of straightness... | |
 | Euclides - 1871 - 136 pages
...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 angle is 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... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...may be extended, so as to embrace angles greater than tico right angles. PBOPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let the side BC of A ABC be produced to D. Then must L ACD be greater than either... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...equal sums, and the remainders will be equal, ie, the /. AE C is equal to the ^ DE B. PEOPOBITION XVI. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite* angles. For the construction employed in this proposition we must be able, — * That is,... | |
 | Lewis Sergeant - 1873 - 182 pages
...A draw the angle DAE = ADC. Then EA is parallel to g BC, by Prop. 25. Proposition 30. — Theorem. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. If BC be produced to D, the a angle ACD = the two angles... | |
 | Braithwaite Arnett - 1874 - 130 pages
...EXAMINATION FOR FIRST APPOINTMENTS TO THE CAVALRY AND INFANTRY. May, 1873. EUCLID. (BooK I.) l^hr. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If two triangles have two angles of the one equal to two angles of the other, each... | |
 | Charles Astor Bristed - 1874 - 632 pages
...EXAMINATION. WEDNESDAY, Jan. 1, 1845. 9. . .11J. [NB The Differential Calculus is not to be employed.] 1. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. a. In equal circles equal circumferences are subtended by equal straight lines. 3.... | |
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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. 
