| Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...of these two propositions has been studied extensively during the last two centuries. 103. THEOREM. **An exterior angle of a triangle is equal to the sum of the two opposite interior angles.** The proof is left to the student. Compare this theorem with that of § 83. 104. Definition. A theorem... | |
| George William Myers - Mathematics - 1910 - 304 pages
...of another, the third angles are equal, and the triangles are mutually equiangular. 12. Prove, that **an exterior angle of a triangle is equal to the sum of the two opposite interior angles** of the triangle. 13. One base angle of an isosceles triangle is ^ of the vertex-angle. Find the angles... | |
| Robert Louis Short, William Harris Elson - Mathematics - 1910 - 200 pages
...equal, respectively, to the leg and acute angle of the other. 3. Prove that the exterior angle (§ 122) **of a triangle is equal to the sum of the two opposite interior angles.** (You will need this theorem very often.) 4. Prove that the exterior angle of a triangle is greater... | |
| William Herschel Bruce, Claude Carr Cody (Jr.) - Geometry, Modern - 1910 - 284 pages
...exterior angle of a triangle is greater than either of the non-adjacent interior angles. 158. COR. 3. **An exterior angle of a triangle is equal to the sum of** the two non-adjacent interior angles. 159. COR. 4. If two triangles have two angles of the one equal... | |
| Great Britain. Board of Education - Education - 1911 - 678 pages
...lesson in Quarta (to boys aged eleven) on the same proposition, or rather on the theorem that " every **exterior angle of a triangle is equal to the sum of the two opposite interior angles,"** from which the theorem relating to the sum of the three angles of a triangle is deduced. The lesson,... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...angle and the two remote interior angles of the triangle ? B' B ff PROPOSITION XXVIII. THEOREM 215. **-An exterior angle of a triangle is equal to the sum of** the two remote interior angles. B CD Given £\ABC with Z.DCB an exterior Z. To prove Z DCB = ZA + Z... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...What is the value of the third angle ? 12. Verify by measurement the fact (to be proved later) that **an exterior angle of a triangle is equal to the sum of** the two remote interior angles. CLASSIFICATION OF TRIANGLES BASED ON ANGLES 47. A triangle, one of... | |
| William Betz, Harrison Emmett Webb - Geometry, Plane - 1912 - 360 pages
...What is the value of the third angle ? 12. Verify by measurement the fact (to be proved later) that **an exterior angle of a triangle is equal to the sum of** the two remote interior angles. CLASSIFICATION OF TRIANGLES BASED ON ANGLES 47. A triangle, one of... | |
| Clara Avis Hart, Daniel D. Feldman - Geometry, Solid - 1912 - 226 pages
...hypotenuse and a side of one are equal respectively to the hypotenuse and a side of the other. 213. **An exterior angle of a triangle is equal to the sum of** the two remote interior angles. 216. The sum of all the angles of any polygon is twice as many right... | |
| Leonard Crouch Jordan - Railroads - 1913 - 234 pages
...central angle between these two points. This is really a different manner of expressing the theorem " **An exterior angle of a triangle is equal to the sum of the two opposite interior angles."** 17. Corresponding Fore Sights and Back Sights Unequal. The fore sight from one spiral point to another... | |
| |