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" When you have proved that the three angles of every triangle are equal to two right angles... "
A System of Practical Mathematics: ... With a Plain Account of the Gregorian ... - Page 230
by John Potter - 1753 - 395 pages
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How We Learn: A Short Primer of Scientific Method for Boys

William Henry Samuel Jones - Reasoning - 1916 - 82 pages
...up. Nothing is taken on trust ; every step is understood and commands our intellectual assent. That the three angles of every triangle are equal to two right angles is a proposition which cannot be denied by anyone who has assented to the definitions and axioms which...
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The Elements of Non-Euclidean Plane Geometry and Trigonometry

Horatio Scott Carslaw - Geometry - 1916 - 193 pages
...geometry holds only on the assumption that the Constant is infinite. Only in this case is it true that the three angles of every triangle are equal to two right angles ; and this can easily be proved, as soon as we admit that the Constant is infinite." This document...
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The New Tinsmith's Helper and Pattern Book: A Textbook and Working Guide for ...

Hall V. Williams - Tinsmithing - 1917 - 382 pages
...its defect from a right angle. 2. The supplement of an angle is its defect from two right angles. 3. The three angles of every triangle are equal to two right angles : hence the oblique angles of a right angled triangle are each other's complements. 4. The sum of the...
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The New Tinsmith's Helper and Pattern Book: A Textbook and Working Guide for ...

Hall V. Williams - Tinsmithing - 1920 - 378 pages
...its defect from a right angle. 2. The supplement of an angle is its defect from two right angles. 3. The three angles of every triangle are equal to two right angles : hence the oblique angles of a right angled triangle are each other's complements. 4. The sum of the...
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The Philosophical Writings of Descartes: Volume 2

René Descartes - Philosophy - 1984 - 444 pages
...cannot divide it, at least in our thought). And because of these facts it can be truly asserted that the three angles of every triangle are equal to two right angles and that every body is divisible. Fifthly, \ ask my readers to spend a great deal of time and effort...
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Descartes: Selected Philosophical Writings

René Descartes - Philosophy - 1988 - 276 pages
...cannot divide it, at least in our thought). And because of these facts it can be truly asserted that the three angles of every triangle are equal to two right angles and that every body is divisible. Fifthly, I ask my readers to spend a great deal of time and effort...
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The Religious Monitor, and Evangelical Repository, Volume 4

1927 - 588 pages
...certainty. In mathematical reasoning our knowledge is greater than our ignorance. When, you have proved that the three angles of every triangle are equal to two right angles , there is an end of doubt; because there are no materials for ignorance to work up into phantoms;...
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The American Mathematical Monthly: The Official Journal of the ..., Volume 7

Electronic journals - 1900 - 370 pages
...good only under the presupposition, that the constant is infinitely great. Only then is it true, that the three angles of every triangle are equal to two right angles ; also this can be easily proven if one takes as given the proposition, that the constant is infinitely...
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how we learn

Church of Jesus Christ of Latter-day Saints. General Church Board of Education - 2000 - 80 pages
...up. Nothing is taken on trust ; every step is understood and commands our intellectual assent. That the three angles of every triangle are equal to two right angles is a proposition which cannot be denied by anyone who has assented to the definitions and axioms which...
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Life and Remains

564 pages
...We wish to recall that proposition. Arbitrary association of ideas immediately suggests the words, 'The three angles of every triangle are equal to two right angles.' But at first these are words only : our mind runs along an established train of sounds. By well-formed,...
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