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Books Books 1 - 10 of 165 on ... the three angles of a triangle are together equal to two right angles, although....
" ... the three angles of a triangle are together equal to two right angles, although it is not known to all. "
An Essay in Aid of a Grammar of Assent - Page 162
by John Henry Newman - 1870 - 485 pages
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Elements of Trigonometry, Plane and Spherical: With The Principles of ...

John Wright (mathematician.) - Perspective - 1772 - 251 pages
...ninety degrees. The ambiguity is avoided, if the fum of the other two angles be known ; becaufe [32. IJ the three angles of a triangle are together equal to two right angles. PROP. V. THEOR. Fig. 14. 5. The fum of any fwofides, BA.and AC, of any triangle ABC, is to the difference...
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An essay on mechanical geometry, explanatory of a set of models

Benjamin Donne - 1796
...perpendicular to another. A THEOREM, a fpeculative propof1tion, the truth of which may be demonftrated ; as the three angles of a triangle are together equal to two right angles, or 1 80 degrees. 46. A DEMONSTRAT1ON is the proof of the truth of any aflertion. 47. Though it be our...
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Letters of Euler to a German Princess, on Different Subjects in ..., Volume 2

Leonhard Euler, Jean-Antoine-Nicolas de Caritat marquis de Condorcet - Science - 1802
...impoffible to draw any concluiion, with refpect to real objects : thus, when I have demonftrated that the three angles of a triangle are together equal to two right angles, this is a property belonging only to an abilract triangle, and not at all to one really exifting. But...
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THE EDINBURGH REVIEW

D. WILLIAM - 1810
...ever been deduced. If we could demonftrate, independently of all confideration of parallel lines, that the three angles of a triangle are together equal to two right angles, the object in view would be accomplifhed, and the difficulty, in this part of the Elements, would be...
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Easy Introduction to Mathematics, Volume 2

Charles Butler - Mathematics - 1814
...draw DF parallel to CE, and ECDF will be the rectangle contained by A and B, as was required ". The three angles of a triangle are together equal to two right angles (Enclid 38. 1.) that is, to 180; wherefore if the sum of two angles of a triangle be subtracted from...
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Works, with a memoir of the author, Volume 4

John Playfait - 1822
...ever been deduced. If we could demonstrate, independently of all consideration of parallel lines, that the three angles of a triangle are together equal to two right angles, the object in view would be accomplished, and the difficulty, in this pait of the Elements, would be...
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The works of John Playfair ...: with a memoir of the author ..., Volume 4

John Playfair, James George Playfair - Science - 1822 - 8 pages
...ever been deduced. If we could demonstrate, independently of all consideration of parallel lines, that the three angles of a triangle are together equal to two right angles, the object in view would be accomplished, arid the difficulty, in this part of the Elements, would...
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The Boston Journal of Philosophy and the Arts, Volume 3

John White Webster, John Ware - Science - 1826
...line, are true for the perpendicular. The Problem for drawing parallel lines may follow here. Theorem. The three angles of a triangle are together equal to two right angles. For a demonstration, see any treatise on geometry. Theorem. Lacroix, No. 54. The parts AC and BD, (fig....
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 272 pages
...notwithstanding, of opinion, that the grand truth with which it is so intimately connected, viz., that " the three angles of a triangle are together equal to two right angles," may be referred to the general principle of liomogeneity. Of this it is unnecessary to suy more in...
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Iron: An Illustrated Weekly Journal for Iron and Steel ..., Volume 15

Perry Fairfax Nursey - Industrial arts - 1831
...has been before proved that the angle ADe is an acute angle of 90 degrees, whence it follows that as the three angles of a triangle are together equal to two right angles, the remaining angle /AD must likewise be an acute angle of 90 degrees, and, as before, since the two...
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