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... the sum of the three angles of a spherical triangle is greater than two right angles.
The elements of plane and spherical trigonometry. [With] Key - Pągina 146
per William Rossiter - 1868
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## An Account of the Operations Carried Out for Accomplishing a Trigonometrical ...

William Mudge - 1801
...Steeple. Frant Steeple. Excess of the Angles of Spherical above those of Plane Triangles. 56. Since the sum of the three angles of a spherical triangle is greater than' two right angles, it follows, that the sum of the three observed angles of each of the following triangles...
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## Elements of Geometry

Adrien Marie Legendre - 1819 - 208 pągines
...be greater than a serai- . circumference, which is the measure of two right angles ; therefore the sum of the three angles of a spherical triangle is greater than two right angles. 490. Corollary i. The sura of the angles of a spherical triangle is not constant like...
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## A treatise on navigation, and nautical astronomy

Edward Riddle - 1824
...measure of D, and В С the supplement of the measure of F. PROPOSITION VIII. The sum of the interior angles of a spherical triangle is greater than two, and less than six right angles. For (see last figure) the measures of the angles А, В, С, in the triangle ABC, together...
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## Solutions of the Cambridge Problems: From 1800 to 1820, Volum 2

John Martin Frederick Wright - 1825 - 653 pągines
...TRINITY COLLEGE. 1816. SPHERICAL TRIGONOMETRY. 1. EVERY plane section of a sphere is a circle. 2. The sum of the three angles of a spherical triangle is greater than two, and less than six, right angles. 3. The angles of a spherical triangle are А, В, С ; the sides respectively opposite to them,...
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## Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - 1825 - 224 pągines
...will be greater than a semicircumference, which is the measure of two right angles ; therefore the sum of the three angles of a spherical triangle is greater than two right angles. 490. Corollary i. The sum of the angles of a spherical triangle is not constant like...
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## Elements of Geometry

Adrien Marie Legendre - 1825 - 224 pągines
...will be greater than a semicircumference, which is the measure of two right angles ; therefore the sum of the three angles of a spherical triangle is greater than two right angles. 490. Corollary i. The sum of the angles of a spherical triangle is not constant like...
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## Alma Mater, Or, Seven Years at the University of Cambridge, Volum 1

...• TRINITY COLLEGE. SPHERICAL TRIGONOMETRY. 1. EVEE.Y plane section of a sphere is a circle. 2. The sum of the three angles of a spherical triangle is greater than two, and less than six, right angles. 3. The angles of a spherical triangle are A, B, C ; the sides respectively opposite to them,...
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## Alma mater; or, Seven years at the University of Cambridge. By a Trinity-man ...

John Martin F. Wright - 1827
...described. TRINITY COLLEGE. SPHERICAL TRIGONOMETRY. 1. EVERY plane section of a sphere is a circle. 2. The sum of the three angles of a spherical triangle is greater than two, and less than six, right angles. 3. The angles of a spherical triangle are A, B, C ; the sides respectively opposite to them,...
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## The London Encyclopaedia: Or, Universal Dictionary of Science, Art ..., Volum 10

Thomas Curtis - 1829
...of D, and В С the supplement of the measure of F. THEOREM XCI. — TKč sum of the interior augles of a spherical triangle is greater than two, and less than six right angles. For (fig. 106, p. III.) the measures of the angles А, В, С, together with the sides of the...
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## Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...(B.) The greater angle of a spherical triangle is opposite, to the greater side, and the sum of the angles of a spherical triangle is greater than two and less than six right angles. Also the sum of any two angles is less than the, third increased by 180°. The first part appears...
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