Plane and Spherical Trigonometry and MensurationAmerican Book Company, 1875 - 251 páginas |
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Página iv
... length , and formulas , in- stead of rules , have been developed for the solution of prob- lems . Hoping that the work , as a whole , will prove a contribu- tion to the wants of the student , and render him efficient aid in acquiring a ...
... length , and formulas , in- stead of rules , have been developed for the solution of prob- lems . Hoping that the work , as a whole , will prove a contribu- tion to the wants of the student , and render him efficient aid in acquiring a ...
Página 25
... length to the radius . Let u denote the unit of circular measure , and r the radius . r = Then , since the semi - circumference , πu = 180 ° = 200o . 180 ° 2009 u == = 57 ° . 29577951 .. = 639. 6619772 ... π π Let d , g , c ...
... length to the radius . Let u denote the unit of circular measure , and r the radius . r = Then , since the semi - circumference , πu = 180 ° = 200o . 180 ° 2009 u == = 57 ° . 29577951 .. = 639. 6619772 ... π π Let d , g , c ...
Página 107
... length of the semi - circumference to the radius 1 , which is 3.141592653589793 ... by 1080 , the number of minutes in 180 ' , the quotient , which is .0002908882 ... , will be the length of the arc 1 ' , and will differ insensibly from ...
... length of the semi - circumference to the radius 1 , which is 3.141592653589793 ... by 1080 , the number of minutes in 180 ' , the quotient , which is .0002908882 ... , will be the length of the arc 1 ' , and will differ insensibly from ...
Página 158
... lengths are 30 rds . and 40 rds . , is 70 rds .; required the area . Ans . 1874.22 sq . rds . 6. The sides of a quadrilateral are 25 rds . , 35 rds . , 45 rds . , 55 rds . , and the angle included by the sides , whose lengths are 35 rds ...
... lengths are 30 rds . and 40 rds . , is 70 rds .; required the area . Ans . 1874.22 sq . rds . 6. The sides of a quadrilateral are 25 rds . , 35 rds . , 45 rds . , 55 rds . , and the angle included by the sides , whose lengths are 35 rds ...
Página 180
... length of base , b the breadth of base , and a the altitude . Passing planes through the e 7 extremities of the edge perpendicular to the base , we have a triangular prism and two pyramids . These pyramids may fall within or without the ...
... length of base , b the breadth of base , and a the altitude . Passing planes through the e 7 extremities of the edge perpendicular to the base , we have a triangular prism and two pyramids . These pyramids may fall within or without the ...
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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.