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" The COMPLEMENT OF AN ANGLE, or arc, is the remainder obtained by subtracting the angle or arc from 90°. Thus the complement of 45° is 45°, and the complement of 31° is 59°. When an angle, or arc, is greater than 90°, its complement is negative.... "
The Elements of Plane Trigonometry - Page 4
by Henry Nathan Wheeler - 1878 - 112 pages
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A Treatise on Plane and Spherical Trigonometry

William Chauvenet - 1852 - 268 pages
...an angular magnitude of 180° ; — a right angle ; 2 я. four right angles, &c. 12. The complement of an angle or arc is the remainder obtained by subtracting the angle or arc. from 90°. The supplement of an angle or arc is the remainder obtained by subtracting the angle or arc from...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...may be expressed as a multiple or fractional part of n. Thus 360° = 2 n, 180° 44. The COMPLEMENT OF AN ANGLE, or arc, is the remainder obtained by subtracting the angle or arc from 90°. Thus the complement of 45° is 45°, and the complement of 31° is 59°. When an angle, or arc,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...multiple or fractional part of я. Thus 360° = 2 я, 180° = *, 90°=|,and30° = |. 44. The COMPLEMENT OF AN ANGLE, or arc, is the remainder obtained by subtracting the angle or arc from 90°. Thus the complement of 45° is 45°, and the complement of 31° is 59°. "When an angle, or arc,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...multiple or fractional part of a. Thus 360° = 2n, 180° = n, 90° =|, and 30°=?. 44. The COMPLEMENT OP AN ANGLE, or arc, is the remainder obtained by subtracting the angle or arc from 90°. Thus the complement of 45° is 45°, and the complement of 31° is 59°. When an angle, or arc,...
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Elements of Geometry and Trigonometry;: With Practical Applications

Benjamin Greenleaf - Geometry - 1863 - 502 pages
...triangle are together equal to a right angle, they are complements one of the other. 45. The SUPPLEMENT OP AN ANGLE, or arc, is the remainder obtained by subtracting the angle or arc from 180°. Thus the supplement of 110° is 70°. When the angle is greater than 180°, its supplement is negative. Thus...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...multiple or fractional part of n. Thus 360° = 2 n, 180° = n, 90° =J and 80° = ?. 44. The COMPLEMENT OF AN ANGLE, or arc, is the remainder obtained by subtracting the angle or arc from 90°. Thus the complement of 45° is 45°, and the complement of 31° is 59°. When an angle, or arc,...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - 1869 - 516 pages
...multiple or fractional part of n. Thus 360° = 2 n, 180° = *, 90° = |, and 30° = * 44. The COMPLEMENT OF AN ANGLE, or arc, is the remainder obtained by subtracting the angle or arc from 90°. Thus the complement of 45° is 45°, and the complement of 31° is 59°. When an angle, or arc,...
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The Elements of Theoretical and Descriptive Astronomy: For the Use of ...

Charles Joyce White - Astronomy - 1872 - 300 pages
...revealed to us. APPENDIX. MATHEMATICAL DEFINITIONS AND FORMULA PLANE TRIGONOMETRY. 1. The complement of an angle or arc is the remainder obtained by subtracting the angle or arc from 90°. 2. The supplement of an angle or arc is the remainder obtained by subtracting the angle or arc...
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Plane and Spherical Trigonometry

Henry Nathan Wheeler - Trigonometry - 1876 - 254 pages
...occasionally called quadrants. Central angles contain the same number of degrees as their intercepted ares. § 5. The complement of an angle or arc is the remainder...65° ; the supplement of 25° is 155°. Two angles or ares are therefore complements of each other when their sum is 90° ; and they are supplements of each...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...fractional part of n. Thus 360° = 2 л, 180° = n, 90° = I , and 30° = * ¿ и I 44. The COMPLEMENT OF AN ANGLE, or arc, is the remainder obtained by subtracting the angle or arc from 90°. Thus the complement of 45° is 45°, and the complement of 31° is 59°. When an angle, or arc,...
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