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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. "
Elements of Geometry and Conic Sections - Page 30
by Elias Loomis - 1857 - 226 pages
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Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - Education, Primary - 1856 - 184 pages
...necessarily equal to one another. 4. 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. 5. If a straight line be divided into any two parts, the square...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 pages
...vertical angle are given. 2. 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. At what angles are the sides of a regular duodecagon inclined to...
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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858
...greater angle. 3. PJSOP. XXXII.— 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. 4. Enunciate and prove the corollaries of the last proposition....
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...extremities of the finite line ? 2. If a side of a 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. State Euclid's corollaries to this proposition. VOLUNTARY PORTION....
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...THEOR. — (Very Important.) 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. CONSTRUCTION. — P. 31. To draw a st. line, through a fjiven point,...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 690 pages
...greater angle. 3. PKOP. XXXII.— 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. 4. Enunciate and prove the corollaries of the last proposition....
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...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 rectilineal figure...
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Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ...

George Roberts Perkins - Geometry - 1860 - 443 pages
...sum of A and C, together with the same angle CBA, is also equal to two right angles (TV, CI) ; hence, the exterior angle is equal to the sum of the two interior and opposite angles. Cor. The exterior angle is greater than either of the interior and opposite angles. OF THE SIDES OF...
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...equal to four right angles. 4. If a side of a 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. 5. Parallelograms upon equal bases and between the same parallels...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...greater angle. PROP. XXXII. — 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. Enunciate and prove the corollaries of the last proposition. PROP....
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