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" Now, we know that the three angles of any triangle, taken together, are equal to two right angles... "
A system of popular trigonometry - Page 5
by George Darley - 1835
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Elementary Illustrations of the Celestial Mechanics of Laplace: Part the ...

Pierre Simon marquis de Laplace, Thomas Young - Capillarity - 1821 - 402 pages
...ut pleasure, AB, meeting BC in B, \ j) and make Z.BAD=ABC (101), then AD||CB ~ CB 108. THEOREM. The angles of any triangle, taken together, are equal to two right angles. Produce AB to C, and draw BD parallel to AE. ED Then Z.EBD=AEB (106), and /LDBC=EAB; therefore the...
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The Geometrical Companion, in which the Elements of Abstract Geometry are ...

George Darley - Geometry - 1828 - 190 pages
...form, in which ABC represents the cliff with its " summit/' C, " beetling" over the base at B. ABT. 37. " The three internal angles of any triangle taken together, are equal to two right angles." From this theorem we perceive that, of whatever shape or size a plane rectilineal triangle may be,...
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The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1833 - 304 pages
...triangle be produced, the external angle is equal to the sum of the two internal and opposite angles; and the three internal angles of any triangle taken together, are equal to two right angles. Draw througli the external angle, a line parallel to the side, not conterminous with the produced part,...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 172 pages
...than either of the two farther internal angles. This is immediately evident from the last Article. ART. 37. The three internal angles of any triangle taken together, are equal to two right angles. In the triangle ABC, the angles ABC, BCA, CAB, taken together, are equal to two right angles. DEM....
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The artillerist's manual, and compendium of infantry exercise

Frederick Augustus Griffiths - 1839 - 348 pages
...triangle has one of its angles obtuse. An acute angled triangle has one of its angles acute. The three angles of any triangle taken together are equal to two right angles, or 180°. The difference of the squares of two sides of a triangle is equal to the product of their...
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The Artillerists̓ Manual, and British Soldiers̓ Compendium

Frederick Augustus Griffiths - Artillery - 1859 - 426 pages
...triangle has one of its angles obtuse. An acute-angled triangle has all its angles acute. The three angles of any triangle, taken together, are equal to two right angles, or 180°. The difference of the squares of two sides of a triangle is equal to the product of their...
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The Celtic magazine, conducted by A. Mackenzie and A. MacGregor, Volume 8

Alexander Mackenzie - 1883 - 640 pages
...proportionals, and, perhaps, this is the reason why he adopts the term tripartite. Now, we know that the three angles of any triangle, taken together, are equal to two right angles ; and that, two angles being given, we know the remaining angle ; or, one angle being given, we know...
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The Celtic Magazine, Volume 8

Alexander Mackenzie, Alexander Macgregor, Alexander Macbain - Clans - 1883 - 604 pages
...proportionals, and, perhaps, this is the reason why he adopts the term tripartite. Now, we know that the three angles of any triangle, taken together, are equal to two right angles; and that, two angles being given, we know the remaining angle ; or, one angle being given, we know...
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