| Jeremiah Day - 1814 - 303 páginas
...notation, ior expressmg the relations ot geometrical quantities, and to throw the several steps in **a •demonstration into the form of equations. By...proposition, that the sum of -the three angles of** a triingle is equal to two right angles, (Euc. 32. 1.) may be demonstrated, either in common Janguage,... | |
| Peter Nicholson - 1823 - 596 páginas
...; 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,... | |
| James Mitchell - 1823 - 576 páginas
...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... | |
| Ferdinand Rudolph Hassler - 1828 - 159 páginas
...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... | |
| Jeremiah Day - 1832 - 332 páginas
...notation, for expressing the relations of geometrical quantities, and to throw the several steps in **a demonstration into the form of equations. By this,...triangle is equal to two right angles, (Euc. 32. 1.)** maybe demonstrated, either in common language, or by means of the signs used in Algebra. Let the side... | |
| Charles William Hackley - 1838 - 307 páginas
...to 47°, 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°... | |
| Dionysius Lardner - 1840 - 314 páginas
...of the adjacent internal angle. (51.) The following consequences flow obviously from the principle, **that the sum of the three angles of a triangle is equal to** 180° : — (52.) If one angle of a triangle is right, the sum of the other two is equal to a right... | |
| John Joseph Griffin - 1841 - 489 páginas
...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.... | |
| John Joseph Griffin - 1841 - 489 páginas
...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... | |
| Jeremiah Day - 1842 - 332 páginas
...notation, for expressing the relations of geometrical quantities, and to throw the several steps in **a demonstration into the form of equations. By this,...proposition, that the sum of the three angles of a triangle** it equal to two right angles, (Euc. 32. 1.) may be demonstrated, either in common language, or by means... | |
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