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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. "
The Element of Geometry - Page 13
by John Playfair - 1836 - 114 pages
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The Pupil-teacher: A Monthly Journal of Practical Educational ..., Volume 3

1857 - 398 pages
...sides of a triangle, parallel 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...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...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...18th, Book I. The greater side of every triangle is opposite to the greater angle. The 32nd, Book I. If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles. Reference to Fig. 33 will illustrate the value of the above in triangular surveying. The line DC falls...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...Def. 35, C. 6 Conel. 1 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...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
...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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Report of Her Majesty's Civil Service Commissioners: Together with ..., Volume 3

1858 - 398 pages
...less than the other two sides of the triangle, but shall contain a greater angle. 3. PJSOP. 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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...the first 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...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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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 pages
...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...angles of every triangle are equal to two right angles. ^et ABC be any plane triangle, and let the side BC be produced uo D ; then will the exterior angle...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 286 pages
...drawn through the given point A parallel to the given straight line BC. PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior...angles of every triangle are equal to two right angles. Given a triangle ABC, having one of its sides BC produced to D ; to prove that the exterior angle ACD...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...less than the other two sides of the triangle, but shall contain a greater angle. PROP. 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. Enunciate and prove the corollaries of the last proposition. PROP....
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