Plane and Spherical Trigonometry and MensurationAmerican Book Company, 1875 - 251 páginas |
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Página iii
... angle , thus giving the student clear geometrical conceptions instead of ... Right Triangle , Art . 64 . Each of the circular functions has , in the ... Right Triangles and Oblique Triangles . Then , under the general head , Relations of ...
... angle , thus giving the student clear geometrical conceptions instead of ... Right Triangle , Art . 64 . Each of the circular functions has , in the ... Right Triangles and Oblique Triangles . Then , under the general head , Relations of ...
Página 24
Aaron Schuyler. 24 TRIGONOMETRY . A degree is one - ninetieth of a right angle , or of a quadrant . A minute is one - sixtieth of a degree . A second is one - sixtieth of a minute . Thus , 25 ° 34 ′ 46 ′′ denote 25 degrees , 34 minutes ...
Aaron Schuyler. 24 TRIGONOMETRY . A degree is one - ninetieth of a right angle , or of a quadrant . A minute is one - sixtieth of a degree . A second is one - sixtieth of a minute . Thus , 25 ° 34 ′ 46 ′′ denote 25 degrees , 34 minutes ...
Página 25
... right angles . π = 180 ° ra quadrant = 90 ° 100 - one right angle . = 2πr a circumference = 360 ° - 4009 - four right angles . π , If r = 1 , the above expressions become , respectively , π " 2π . 2 33. Unit of Circular Measure . The ...
... right angles . π = 180 ° ra quadrant = 90 ° 100 - one right angle . = 2πr a circumference = 360 ° - 4009 - four right angles . π , If r = 1 , the above expressions become , respectively , π " 2π . 2 33. Unit of Circular Measure . The ...
Página 26
... right , are negative . 36. The Complement of an Arc . The complement of an arc or angle is 90 ° minus that arc or angle . If the arc or angle is less than 90 ° , its comple- ment is positive . If the arc or angle is greater than 90 ...
... right , are negative . 36. The Complement of an Arc . The complement of an arc or angle is 90 ° minus that arc or angle . If the arc or angle is less than 90 ° , its comple- ment is positive . If the arc or angle is greater than 90 ...
Página 34
... angle OCT " . The angle COR is equal to the angle COR ' , since each is a right angle . Hence , the two triangles COR and COR ' have two angles , and the included side of the one equal to two angles and the included side of the other ...
... angle OCT " . The angle COR is equal to the angle COR ' , since each is a right angle . Hence , the two triangles COR and COR ' have two angles , and the included side of the one equal to two angles and the included side of the other ...
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Términos y frases comunes
a. c. log adjacent angles adjacent side altitude angle is equal angle opposite applying logarithms arc increases arc is equal arc OT Article 98 circumscribed circle co-sine co-tangent co-versed-sine complement cos b cos cos² cosec decreases denote diagonal divided entire surface escribed circles Examples Find the angle find the area Find the logarithm fourth quadrant frustum functions given angle greater than 90 Hence hypotenuse included angle increases from 90 increases numerically inscribed log blog M.
M. Cosine M.
M. Sine mantissa minus Napier's principles negative number corresponding one-half the sum opposite angle perpendicular plane polygon positive Problem quadrant from H required the area right angle Right Triangles secant second quadrant side adjacent sin a sin slant height solution species spherical triangle supplement Tang tangent third quadrant triangle becomes Trigonometry versed-sine
Pasajes populares
Página 32 - If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal.
Página 106 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 122 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Página 141 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Página 17 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 20 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 120 - The sines of the sides of a spherical triangle are proportional to the sines of their opposite angles. Let ABC be a spherical triangle.
Página viii - For a number greater than 1, the characteristic is positive and is one less than the number of digits before the decimal point.
Página 63 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página viii - In general, if the number is not an exact power of 10, its logarithm, in the common system, will consist of two parts — an entire part and a decimal part. The entire part is called the characteristic and the decimal part is called the mantissa.