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Bøker Bok 110 av 165After remarking that the mathematician positively knows that the sum of the three...
" After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles... "
Elements of Geometry and Trigonometry - Side 65
av C. Davies - 1867
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1820 - 332 sider
...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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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 576 sider
...of a triangle is less than the sum, but greater than the difference of the other two sides. 3. Tlie sum of the three angles of a triangle is equal to two right angles; and the external angle formed by producing one of its sides is equal to the sum of the t\vu...
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The new practical builder, and workman's companion, Volum 2

Peter Nicholson - 1823
...; 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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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - 1827 - 332 sider
...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 the Geometry of Planes and Solids: With Four Plates

Ferdinand Rudolph Hassler - 1828 - 159 sider
...of the line, which have been proved to be together, equal to two right angles; therefore, also, the sum of the three angles of a triangle is equal to two right angles; as was to be demonstrated. Carol. When two angles of a triangle are given, the third angle...
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Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - 1838 - 307 sider
...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. B. 1, Prop. 25,) or 180° ; therefore subtracting the sum of the two given, 47° + 105°...
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A System of Crystallography: With Its Application to Mineralogy

John Joseph Griffin - 1841 - 469 sider
...in any right-angled triangle, a either n or w be given, then n, c and w are all given ; because the sum of the three angles of a triangle is equal to two right angles. Hence: c = 90°; n = 00° — w ; and w = <JO° — • n. No. tiiven. Sought. Equations. Logarithmic...
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A System of Crystallography,: With Its Application to Mineralogy

John Joseph Griffin - 1841 - 489 sider
...in any right-angled triangle, either n or w. be given, then n, с and w are all given; because the sum of the three angles of a triangle is equal to two right angles. Hence: с = 90°; n = 90° — w ; and w = 90° — n. Т E.) OBLIQUE-ANGLED PLANE TRIANGLES....
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

Jeremiah Day, James Bates Thomson - 1844 - 252 sider
...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 is' ' be demonstrated, either in common language, or by means of the signs...
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A Glance at the Physical Sciences: Or, The Wonders of Nature, in Earth, Air ...

Samuel Griswold Goodrich - 1844 - 352 sider
...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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