 | 1850 - 766 pages
...of the diameter and circumference divided by 4. To find the area of a spherical triangle, multiply the difference between the sum of its three angles and two right angles by the radius pf the sphere. To find the area of the segment of a parabola, multiply the base by the... | |
 | 1850 - 772 pages
...of the diameter and circumference divided by 4. To find the area of a spherical triangle, multiply the difference between the sum of its three angles and two right angles by the radius »f the sphere. To find the area of the segment of a parabola, multiply the base by the... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...CAB to each member, and A CA'B' + A CAB ^ lune CAC'B. 394 395 824 DEFINITION. The spherical excess of a spherical triangle is the difference between the sum of its angles and two right angles. Thus, if A, B, C, are the angles of a spherical triangle, and E is its... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...the A CAB to each member, and A CA'B'-f A CAB =2= lune CAC'B. 824 DEFINITION. The spherical excess of a spherical triangle is the difference between the sum of its angles and two right angles. Thus, if A, B, C, are the angles of a spherical triangle, and E is its... | |
 | Horace Wilmer Marsh - Mathematics - 1914 - 306 pages
...bi-rectangular triangle which equals one-ninetieth of a tri-rectangular triangle. The Spherical Excess of a Spherical Triangle is the difference between the sum of its angles and 180 spherical degrees. A Spherical Polygon is the portion of the surface of a sphere bounded... | |
 | Ernest William Hobson - Science - 1923 - 532 pages
...further in the same direction as Saccheri; he showed that the area of a triangle is proportional to the difference between the sum of its three angles and two right angles, in the two cases corresponding to what we now call hyperbolic and spherical Geometry. John Wallis (1616-1703)... | |
 | Ernest William Hobson - Science - 1923 - 538 pages
...further in the same direction as Saccheri; he showed that the area of a triangle is proportional to the difference between the sum of its three angles and two right angles, in the two cases corresponding to what we now call hyperbolic and spherical Geometry. John Wallis (1616-1703)... | |
 | University of Cambridge - Universities and colleges - 1831 - 510 pages
...points of a parabola, and find what the equation becomes when the points are supposed to coincide. 19. The measure of the surface of a spherical triangle...the sum of its three angles and two right angles. 20. Having given two sides and the included angle of a spherical triangle, obtain the third side in... | |
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The measure of the surface of a spherical triangle is the difference between the sum of its three angles and two right angles. 
