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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... "
Euclid and His Modern Rivals - Page 34
by Lewis Carroll - 1885 - 275 pages
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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 National Cyclopaedia of Useful Knowledge, Volumes 9-10

Encyclopedias and dictionaries - 1853 - 1036 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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The Stars and the Earth ; Or, Thoughts Upon Space, Time, and Eternity

Felix Eberty - Astronomy - 1854 - 100 pages
...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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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 pages
...4. Therefore the three angles, EGD, GDE, DEG, are equal to one another. (I. 5 cor.) 5. But the three angles of a triangle are together equal to two right angles; (I. 32.) 6. Therefore the angle EGD is the third part of two right angles. 7. In the same manner it may be shown...
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An Analysis of the Human Mind

Richard Pearson (Philosophical Writer.) - Philosophy - 1863 - 144 pages
...faithfully is a wise man, is as true and unchangeable as the mathematical proposition that says that all the angles of a triangle are together equal to two right angles. But wisdom cannot be measured with the accuracy of an angle ; and if it could, the moral subject to...
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New Monthly Magazine, and Universal Register, Volume 133

1865 - 520 pages
...day, tracing figures by which, independent and innocent of Euclid, the boy had made the discovery that the angles of a triangle are together equal to two right angles. There is a similar anecdote of James Watt having been observed, as a child of six years old, drawing...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...therefore the three angles EGD, GDE, DEG are equal to one another. [I. 5. Corollary. But the three angles of a triangle are together equal to two right angles ; [I. 32. therefore the angle EGD is the third part of two right angles. In the same manner it may be shewn,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...therefore the three angles EGD, GDE, DEG are equal to one another. [I. 5. Corollary. But the three angles of a triangle are together equal to two right angles ; [I. 32. therefore the angle EGD is the third part of two right angles. In the same manner it may be shewn,...
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