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" Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles... "
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... - Page 292
by Sir John Leslie - 1817 - 432 pages
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...An exterior angle of a triangle is equal to both its opposite interior angles, and all the interior angles of a triangle are together equal to two right angles. The exterior angle BCD, formed by the production of the side AC of the triangle ABC, is equal to the two...
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The Edinburgh Review, Volume 15

English literature - 1810 - 554 pages
...deduced. If we could demonftrate, independently of all confideration of parallel lines, that the three angles of a triangle are together equal to two right angles, the object in view would be accomplifhed, and the difficulty, in this part of the Elements, would be entirely...
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Works, with a memoir of the author, Volume 4

John Playfait - 1822 - 550 pages
...deduced. If we could demonstrate, independently of all consideration of parallel lines, that the three angles of a triangle are together equal to two right angles, the object in view would be accomplished, and the difficulty, in this pait of the Elements, would be enVOL....
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The Works of John Playfair ...: With a Memoir of the Author ...

John Playfair - Science - 1822 - 554 pages
...deduced. If we could demonstrate, independently of all consideration of parallel lines, that the three angles of a triangle are together equal to two right angles, the object in view would be accomplished, and the difficulty, in this part of the Elements, would be entirely...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 15

Perry Fairfax Nursey - Industrial arts - 1831 - 508 pages
...before proved that the angle ADe is an acute angle of 90 degrees, whence it follows that as the three angles of a triangle are together equal to two right angles, the remaining angle /AD must likewise be an acute angle of 90 degrees, and, as before, since the two angles/...
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The Mechanics' Magazine, Museum, Register, Journal, and Gazette, Volume 15

Industrial arts - 1831 - 532 pages
...before proved that the angle ADe is an acute angle of 90 degrees, whence it follows that as the three angles of a triangle are together equal to two right angles, the remaining angle fh D must likewise be an acute angle of 90 degrees, and, as before, since the two augles/DA...
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The Penny Cyclopaedia of the Society for the Diffussion of Useful ..., Volume 19

1841 - 524 pages
...assertion to be proved, in that the latter does not require any specific object to be effected. Thus, ' all the angles of a triangle are together equal to two right angles ' is to be shown or made evident, and is a theorem ; but ' to draw a circle through three given points...
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Penny Cyclopaedia of the Society for the Diffusion of Useful ..., Volumes 19-20

Encyclopedias and dictionaries - 1841 - 1040 pages
...assertion to be proved, in that the latter does not require any specific object to be effected. Thus, ' all the angles of a triangle are together equal to two right angles ' is to be shown or made evident, and is a theorem ; but ' to draw a circle through thiee given points'...
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The stars and the earth, or, Thoughts upon space, time, and eternity [by F ...

Felix Eberty - 1846 - 110 pages
...anything which contradicts it to be absurd. Thus, for example, he to whom the geometrical proposition that the angles of a triangle are together equal to two right angles, has been intelligibly demonstrated, must acknowledge the truth of it ; but he has not necessarily comprehended...
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The Theory of Reasoning

Samuel Bailey - Logic - 1851 - 254 pages
...An exterior angle of a triangle is equal to both its opposite interior angles, and all the interior angles of a triangle are together equal to two right angles. The exterior angle BCD formed by the production of the side AC of the triangle ABC, is equal to the / \...
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