 | John Joseph Griffin - 1841 - 538 σελίδες
...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 - 548 σελίδες
...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 - 350 σελίδες
...words, but they are intended to convey the same meaning. A great part of the demonstrations in Euclid, really consist of a series of equations, though they...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... | |
 | Samuel Griswold Goodrich - 1844 - 370 σελίδες
...in which 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... | |
 | Nicholas Tillinghast - 1844 - 110 σελίδες
...is the sum of the two angles CBE, EBD, is equal to the sum of the two angles BAC, BCA. Cor. 1 . The sum of the three angles of a triangle is equal to two right angles ; for CBD-f-CBA is equal to two right angles (Prop. 1) ; now we have just seen that CBD is equal... | |
 | Blaise Pascal - 1846 - 400 σελίδες
...other, he 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... | |
 | Jeremiah Day - 1849 - 350 σελίδες
...words, hut they are intended to convey the same meaning. A great part of the demonstrations in Euclid, really consist of a series of equations, though they...us under the algebraic forms. Thus the proposition, ihat the sum of the three angles of a triangle is equal to two right angles, (Euc. 32. 1.) may be demonstrated,... | |
 | Jeremiah Day - 1850 - 356 σελίδες
...words, but they are intended to convey the same meaning. A great part of the demonstrations in Euclid, really consist of a series of equations, though they...sum of the three angle.s of a triangle is equal to Iwo right angles, (Euc. 32. 1.) may be demonstrated, either in common language, or by means of the... | |
 | Charles Davies - 1850 - 238 σελίδες
...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... | |
 | Charles Davies - 1850 - 218 σελίδες
...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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Thus the proposition, that the sum of the three angles of a triangle is equal to two right angles, (Euc. 
