 | Euclides - Geometry - 1853 - 334 pages
...; (2) the three interior angles shall be together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then (1) the exterior angle ACD shall be equal to the two interior and opposite angles ABC, BAC; (2) the... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...straight line of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of it, are between the same parallels.... | |
 | 1855 - 264 pages
...straight line of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. 4. Equal triangles upon the same hase and upon the same side of it are between the same parallels .... | |
 | Euclides - 1855 - 270 pages
...exterior angle is equal to the ttco interior and opposite angles ; and the three interior angles oj every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD is equal to the... | |
 | W F. Richards - Elementary school teaching - 1856 - 198 pages
...that these two triangles are not necessarily equal to one another. 4. If a side of any triangle be produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...and also the third angle of the one to the third angle of the other. 6. If a side of any triangle be produced, the exterior angle is equal to the two interior...and the three interior angles of every triangle are equal to two right angles. 7. If a parallelogram and a triangle be upon the same base, and between... | |
 | Euclides - 1856 - 168 pages
...the two FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. 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 every triangle are together equal to two right angles. Let ABC (Fig. 9) be a triangle, and... | |
 | Henry Latham - 1857 - 390 pages
...base, the sum of the other sides, and the vertical angle are given. 2. If a side of any triangle be produced, the exterior angle is equal to the two interior...every triangle are together equal to two right angles. At what angles are the sides of a regular duodecagon inclined to each other? 3. If a straight line... | |
 | Education - 1857 - 1266 pages
...EUCLID. FIRST YEAR. SECTION I. — 1. The angles at the base of an isosceles triangle arc equal. 2. The three interior angles of every triangle are together equal to two right angles. 3. To a given straight line apply a rectangle equal to a given rectilineal figure. SECTION II. —... | |
 | 1857 - 400 pages
...the base; and prove that the line so drawn bisects the other side. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles. If the triangle is equilateral, what is the relation between the exterior angle and the adjacent interior... | |
| |
If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. 
