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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. "
Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ... - Page 74
by Charles Reiner - 1837 - 215 pages
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...of the base equal to one another, and likewise those which are terminated in the other extremity. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. If from the ends of the side of a triangle,...
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Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 390 pages
...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 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...
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The Pupil-teacher: A Monthly Journal of Practical Educational ..., Volume 3

1857 - 400 pages
...triangles upon the same base and upon the same side of it, are between the same parallels. Quest. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Quest. 4. The greater angle of every triangle...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 422 pages
...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 angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles. Reference to Fig....
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...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 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...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858 - 248 pages
...angle in the other. Ax. 1. Magnitudes which are equal to the same, are equal to each other. P. 16. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. EXP. Hyp. 1. „ 2. Concl. 1. „ 2. In As ABC,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...roods 28 poles as the decimal of an acre. 9. Extract the square root of 3915380329, and Euclid. 1. If one side of a triangle be produced the exterior angle is greater than either of the interior opposite angles. 2. In any right angled triangle the square which...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...interest upon 166Z. 13s. in 3 years, at 4£ per cent. 10. Extract the square root of '03456. EUCLID. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a straight line be divided into any two...
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Lectures Delivered Before the Young Men's Christian Association ..., Volume 15

Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...problems, and thus advanced gradually as far as the 32nd proposition of Euclid, which runs thus :—" If one side of a triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle are together...
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Guide to the Three Services: Civil, Naval, and Military

John Paxton Hall - 1860 - 186 pages
...other two sides of the triangle, but shall contain a greater angle. PROF. 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...
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