| 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... | |
| 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,... | |
| 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,... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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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