| John Kitto - 1854
...mind. ' § 65. To illustrate this doctrine by an example taken from the science of magnitude. That **the three interior angles of every triangle are equal to two right angles,** is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
| 1855
...line 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...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... | |
| John Playfair - 1855 - 318 páginas
...EAF is drawn through the given point A parallel to the given straight line BC. PROP. XXXII. THEOR. **If a side of any triangle be produced, the exterior angle is equal to the** tivo interior and opposite angles ; and the three interior angles of tvery triangle are equal to two... | |
| Cambridge univ, exam. papers - 1856
...into two equal angles. 2. Any two sides of a triangle are together greater than the third side. 4. **If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles.** If two sides of any triangle be produced, the two exterior angles are together greater than two right... | |
| W. F. RICHARDS - 1856 - 184 páginas
...opposite 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...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... | |
| John Playfair - 1856 - 318 páginas
...given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle oe **produced, the exterior angle is equal to the two interior and opposite angles** ; andlthe three interior angles of every triangle are equal to two right i Let ABC be a triangle, and... | |
| Henry Latham - 1857 - 59 páginas
...Construct a 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...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... | |
| Great Britain. Parliament. House of Commons - 1858
...less than the other two sides of the triangle, but shall contain a greater angle. 3. PKOP. XXXII.— **If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are** together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition.... | |
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