 | 1855 - 264 pàgines
...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 - 976 pàgines
...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 - 270 pàgines
...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 - 200 pàgines
...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 - 198 pàgines
...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 - 168 pàgines
...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 - 390 pàgines
...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 - 242 pàgines
...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 - 400 pàgines
...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 - 422 pàgines
...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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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. 
