Books Books
If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
The first six books of the Elements of Euclid, with numerous exercises - Page 13
by Euclides - 1853 - 147 pages

Elements of geometry, based on Euclid, book i

Edward Atkins - 1877 - 72 pages
...right angles, provided that no one of the angles be included in any other angle. Proposition 16.— Theorem. If one side of a triangle be produced, the exterior angle shall lie greater than either of the interior opposite angles. Let ABC be a triangle, and let its side...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...shew hereafter, p. 149, how this definition may be extended, so as to embrace angles greater than two right angles. PROPOSITION XVI. THEOREM. If one side...greater than either of the interior opposite angles. D Let the side BC of AA fiC be produced to D. Then must L ACD be greater than either L CAB or L ABC....

Elements of Geometry: And the First Principles of Modern Geometry

William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...angles is equal to R. COR. 5. In an equiangular triangle, each angle is equal to ^ of 2R = | R. XVIII. Theorem. If one side of a triangle be produced, the exterior angle is equal to the two interior angles not adjacent. HYPOTH. In the triangle ABC, one side, AB, is produced,...

Elements of Plane Geometry, Part 1

Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...angles AFB and DAF are equal, the lines DE and BC are parallel (Prop. XXV.). PROPOSITION XXX.—THEOREM. If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles, and the three angles of the triangle are...

Elements of Geometry: Containing Books 1. to Vi. and Portions of Books Xi ...

James Hamblin Smith - Euclid's Elements - 1879 - 378 pages
...line, and QP a line which revolves about the fixed point Q, and which at first coincides with QE. 7F PROPOSITION XVI. THEOREM. If one side of a triangle...greater than either of the interior opposite angles. -JSS Let the side BC of AA JRC be produced to D. Then must L ACD be greater than either i CAB or L...

A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...in all respects. Same proposition. Give corollaries. • Propositions XVI. -XXVI. (inclusive). 16. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. • Same proposition. Show that only one perpendicular can be drawn from a given point to a given straight...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...angles made by any number of lines meeting in a point, are equal to four right angles. Proposition 18. Theorem. — If one side of a triangle be produced, the exterior angle is greater than either of the opposite interior angles. Let the side BC of the triangle ABC be produced to D; then will A CD be greater...

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 428 pages
...unlimited length. (5) Prove that any two angles of a triangle are together less than two right angles. (6) If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite angles. Show that only one perpendicular can be drawn from a given point to a given straight...