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 equal to two right angles. The Teaching of Geometry - الصفحة 182بواسطة David Eugene Smith - 1911 - عدد الصفحات: 339عرض كامل - لمحة عن هذا الكتاب
| Henry Latham - 1857 - عدد الصفحات: 390
...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 equal to the two...opposite angles, 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... | |
| 1857 - عدد الصفحات: 398
...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... | |
| Euclides - 1858 - عدد الصفحات: 248
...C.3&2, P.29 2 3 P. 4. Cor. P. 15. PROP. 32. — THEOR. — (Very Important.) If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of every triangle are together equal to two right angles. CONSTRUCTION. — P. 31. To draw a st. line,... | |
| 1858 - عدد الصفحات: 398
...sides of the triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the... | |
| Great Britain. Parliament. House of Commons - 1858 - عدد الصفحات: 694
...sides of the triangle, but shall contain a greater angle. 3. PKOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the... | |
| War office - 1858 - عدد الصفحات: 578
...line shall be equidistant from the two extremities of the finite line ? 2. If a side of a triangle be produced, the exterior angle is equal to the two...opposite angles, and the three interior angles of every triangle are together equal to two right angles. State Euclid's corollaries to this proposition.... | |
| W. Davis Haskoll - 1858 - عدد الصفحات: 422
...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 equal to the two...opposite angles ; and the three interior angles of every triangle are equal to two right angles. Reference to Fig. 33 will illustrate the value of the... | |
| Elias Loomis - 1858 - عدد الصفحات: 256
...PROPOSITION XXVII. THEOREM. If one side of a triangle is produced, the exterior angle tn equal to the sum of the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. ^et ABC be any plane triangle, and let the side BC be... | |
| Sandhurst roy. military coll - 1859 - عدد الصفحات: 672
...of -0031843449. EUCLID. 1. If a side of a triangle be produced the exterior angle is equal to both the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Hence show that all the exterior angles of any... | |
| Royal college of surgeons of England - 1860 - عدد الصفحات: 336
...make at the point where they cut, are together equal to four right angles. 4. If a side of a triangle be produced, the exterior angle is equal to the two...opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 5. Parallelograms upon equal bases and between... | |
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