 | General Medical Council (Great Britain) - 1869 - 402 pages
...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 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... | |
 | 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...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 pages
...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.... | |
 | 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 angle is greater than either of the interior and opposite angles. Prove this for both the interior angles. Composition. Write notes of a lesson... | |
 | 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...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 L CAB or L ABC. Bisect... | |
 | 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...greater than either of the interior opposite* angles. For the construction employed in this proposition we must be able, — * That is, not adjacent to the... | |
 | 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... | |
 | Euclides - 1874 - 342 pages
...meeting in one point, are together equal to four right angles. PROPOSITION 16. — Theorem. If one lide of a triangle be produced, the exterior angle is greater...interior opposite angles. Let ABC be a triangle, and let the side BC be produced to D. Then the exterior angle ACD shall be greater than either of the interior... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
