| 1855
...perpendicular to a given 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...and the three interior angles of every triangle are** together equal to two right angles. 4. Equal triangles upon the same hase and upon the same side of... | |
| Great Britain. Committee on Education - 1855
...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...and the three interior angles of every triangle are** together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of... | |
| Euclides - 1855
...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 two interior and opposite angles CAB, ABC. And the three... | |
| Cambridge univ, exam. papers - 1856
...equal, each to each : 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...angles of every triangle are equal to two right angles.** 7. If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram... | |
| W F. Richards - 1856 - 184 sider
...to equal sides, show that these two triangles are not necessarily equal to one another. 4. If a side **of any triangle be produced, the exterior angle is...and the three interior angles of every triangle are** together equal to two right angles. 5. If a straight line be divided into any two parts, the square... | |
| Euclides - 1856
...together equal to 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...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 - 59 sider
...triangle of which the 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...and the three interior angles of every triangle are** together equal to two right angles. At what angles are the sides of a regular duodecagon inclined to... | |
| Elias Loomis - 1857 - 226 sider
...PROPOSITION XXVII. THEOEEM. If one side of a triangle is produced, the exterior angle is equal to the sum of **the two interior and opposite angles ; and the three...triangle are equal to two right angles. Let ABC be** any plane triangle, and let the side BC be produced 10 D ; then will the exterior angle ACD be equal... | |
| 1857
...triangle, parallel to 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... | |
| W. Davis Haskoll - 1858 - 324 sider
...I. The greater side of every triangle is opposite to the greater angle. The 32nd, Book I. If a side **of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles.** Reference to Fig. 33 will illustrate the value of the above in triangular surveying. The line DC falls... | |
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