 | Isaac Dalby - 1807 - 476 páginas
...(3S ), and are respectively the same as the three angles of the triangle CBA; therefore the sum of the three angles of a plane triangle is equal to two right angles. Carol. 1. Hence the difference between an exterior angle of B triangle and either of the interior opposite... | |
 | John Gummere - 1814 - 398 páginas
...one another, the opposite angles will be equal : thus AEC=BED and AED=CEB. Fig. 36. 4. The sura of the three angles of a plane triangle is equal to two right angles, or 180°. 5. If the sum of two angles of a triangle be subtracted from 180°, the remainder will be... | |
 | Ferdinand Rudolph Hassler - 1826 - 640 páginas
...but also in sign ; and because the sum of all the three angles of a plane triangle is equal to twe right angles, the sine of any one of the angles is...we have, as the value of this perpendicular : a sin B sin C d = b sin C — sin (B + C) Multiplying this by half the base on which the perpendicua lav... | |
 | Charles Hutton - 1831 - 660 páginas
...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 plane triangle is equal to two right angles, that is a Theorem, the truth of which is demonstrated by Geometry. — A set or collection of such... | |
 | Alpheus Crosby - 1847 - 192 páginas
...diagram. He had demonstrated, unaided by any book or teacher, the proposition, that the sum of the angles of a plane triangle is equal to two right angles. The father, notwithstanding his previous caution, was pleased with the result, removed the interdict upon... | |
 | Stephen Chase - 1847 - 28 páginas
...diagram. He had demonstrated, unaided by any book or teacher, the proposition, that the sum of the angles of a plane triangle is equal to two right angles. The father, notwithstanding his previous caution, was pleased with the result, removed the interdict upon... | |
 | William John Macquorn Rankine - 1863 - 810 páginas
...Plane Triangles. — All these formulae are deduced from the two following principles : — The sum of the three angles of a plane triangle is equal to two right angles. The sides of a plane triangle are proportional to the sines of the opposite angles. When the computations... | |
 | Bennett Hooper Brough - 1888 - 366 páginas
...A The formulae for the solution of plane triangles are deduced from the principles that the sum of the three angles of a plane triangle is equal to two right angles, and that the sides of the triangle are proportional to the sines of the opposite angles. For right-angled... | |
 | William Dwight Whitney - 1889 - 288 páginas
...bodies are capable of translation and rotation in all directions in every position, and that the sum of the three angles of a plane triangle Is equal to two right angles. — Geometry Of forces, the theory of congruences and complexes of forces.— Geometry Of position,... | |
 | John J. Elmendorf - 1892 - 776 páginas
...same verity among all, though not equally known by all. • Thus, among all it is true that the sum of the three angles of a plane triangle is equal to two right angles, though this is not known by all. But as respects the special conclusions of practical reason, there... | |
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... the three angles of a plane triangle is equal to two right angles, the sine of any one of the angles is equal to the sine of the sum of the two others. 
