 | Great Britain. Committee on Education - 1855 - 976 σελίδες
...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...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.... | |
 | W F. Richards - 1856 - 198 σελίδες
...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 and...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 - 252 σελίδες
...sides of a triangle are together greater than the third side. 4. If a side of any triangle be produced, the exterior angle is equal to the two interior and...and the three interior angles of every triangle are equal to two right angles. If two sides of any triangle be produced, the two exterior angles are together... | |
 | Euclides - 1856 - 168 σελίδες
...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 σελίδες
...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 and...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... | |
 | 1857 - 1266 σελίδες
...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 σελίδες
...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... | |
 | War office - 1858 - 578 σελίδες
...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 interior and...every triangle are together equal to two right angles. State Euclid's corollaries to this proposition. VOLUNTARY PORTION. 1. Given the centre of the circle... | |
 | Euclides - 1858 - 248 σελίδες
...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 interior and...every triangle are together equal to two right angles. CONSTRUCTION. — P. 31. To draw a st. line, through a fjiven point, parallel to a given st. line.... | |
 | 1858 - 398 σελίδες
...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 interior and...every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PUOP. XLIV. — To a given straight... | |
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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 equal to two right angles. 
