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Bøker Bok 91100 av 187If a side of any triangle be produced, the exterior angle is equal to the two interior...
" 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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 41
av John Playfair - 1832 - 333 sider
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Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Volum 2

1863
...prove that the side AB, is equal to twice the line joining C with the middle point of AB. 2. If a side of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles. 3. Triangles upon the same base, and between the same parallels, are equal to one another. If E and...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. 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. Let A BC be a triangle, and let one of its sides B Cbe produced...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Robert Potts - 1864
...line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle i* equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let^-BCbeatriangle,andletone of its sides 5 Cbe produced to Z)....
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First practical lines in geometrical drawing

J F H. De Rheims - 1865 - 169 sider
...interior angles upon the same side together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles. Prop. 34. — Theorem. The opposite sides and angles of parallelograms are equal to one another, and...
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An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - 1865 - 150 sider
...lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior...and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon the hypolheneuse of a right-angled...
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The principles of psychology. stereotyped, Volum 2

Herbert Spencer - 1881
...therefore also the angles CBA, BAG, ACB, are together equal to two right angles. " Therefore if a side of any triangle be produced, the exterior angle is...angles of every triangle are equal to two right angles. QED" Thus in each step by which the special conclusion is reached, as well as in the step taken from...
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Guide to preliminary army examination

John Gibson - 1881
...each to each, and also the third angle of the one equal to the third angle of the other. 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. Describe a parallelogram that shall be equal to a given triangle...
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Works, Volum 3

Herbert Spencer - 1881
...foregoing theorem is inconveniently long. We shall find a fitter one in Proposition xxxii. " If the 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. " Let ABC be a triangle, and let one of its sides BC be produced...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 sider
...abbreviations for words may be used, but not symbols of operations, such as - , +, x .] 1. If a side of any triangle be produced, the exterior angle is...opposite angles ; and the three interior angles of ev«*y triangle are together equal to two right angles. The base angle of an isosceles triangle is...
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The Cambridge Examiner

1884
...the circle. 9. Inscribe an equilateral asd equiangular quindecagon in a given circle. 10. If a side of any triangle be produced, the exterior angle is...opposite angles, and the three interior angles of any triangle are together equal to two right angles. 11. The straight lines bisecting the angles at...
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