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" After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles... "
Yale University Entrance Examinations in Mathematics: 1884 to 1898 - Page 125
1898 - 208 pages
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A Glance at the Physical Sciences; Or The Wonders of Nature,: In ..., Volume 1

Samuel Griswold Goodrich - Astronomy - 1844 - 370 pages
...some property is asserted, and the truth of it required to be proved : thus when it is said that the sum of the three angles of a triangle is equal to two right angles, that is a theorem, the truth of which is demonstrated by geometry. A set, or collection, of...
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Thoughts of Blaise Pascal

Blaise Pascal - Apologetics - 1846 - 400 pages
...gradually arrived at the proof of the thirty-second proposition of the first book of Euclid : That the sum of the three angles of a triangle is equal to two right angles. Just at this moment, his father entered the apartment ; but so absorbed in thought was this...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1847 - 358 pages
...equations, though they may not be presented to us under the algebraic forms. Thus the proposition, that the sum of the three angles of a triangle is equal to two right angles, (Euc. 32. 1.) may be demonstrated, either in common language, or by means of the signs used...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...equations, though they may not be presented to us under the algebraic forms. Thus the proposition, that the sum of the three angles of a triangle is equal to two right angles, (Euc. 32. 1,) may be demonstrated, either in common language, or by means of the signs used...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...second, by Prob. VIII ; then will the angle HEF be equal to the third angle of the triangle. For, the sum of the three angles of a triangle is equal to two right angles (Bk. L Th. xvii) ; and the sum of the three angles on the same side of the line DE is equal...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...second, by Prob. VIII ; then will the angle HEF be equal to the third angle of the triangle. For, the sum of the three angles of a triangle is equal to two right angles (Bk. I. Th. xvii) ; and the sum of the three angles on the same side of the line DE is equal...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - Trigonometry - 1851 - 524 pages
...and the other equal to 105 30', it will be easy to find the third angle, by recollecting that the sum of the three angles of a triangle is equal to two right angles (Geom. Theorem 15), or 180 ; therefore subtracting the sum of the two given, 47 + 105...
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A Glance at the Physical Sciences, Or, The Wonders of Nature, in Earth, Air ...

Samuel Griswold Goodrich - Children's literature - 1852 - 372 pages
...some property is asserted, and the truth of it required to be proved : thus when it is said that the sum of the three angles of a triangle is equal to two right angles, that is a theorem, the truth of which is demonstrated hy geometry. A set, or collection, of...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1886 - 340 pages
...second, by Prob- VIII ; then will the angle HEF be equal to the third angle of the triangleFor, the sum of the three angles of a triangle is equal to two right angles (Bk- I- Th- xvii) ; and the sum of the three angles on the same side of the line DE is equal...
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Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

Peter Nicholson - Cabinetwork - 1856 - 518 pages
...; but the sum of the two angles BAC, BAD, is equal to two right angles (theorem 1) ; therefore the sum of the three angles of a triangle is equal to two right angles. 80. COROLLARY 1. — If two angles of one triangle be equal to two angles of another triangle,...
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