Plane and Spherical Trigonometry and MensurationAmerican Book Company, 1875 - 251 Seiten |
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Seite 168
... slant height , 8 one side of the lower base , s ' one side of the upper base , k ' and k as in Art . 178 . a ( p + p ... slant height is 12 ft . , and the bases regular decagons whose sides are 8 ft . and 5 ft . , re- spectively ? Ans ...
... slant height , 8 one side of the lower base , s ' one side of the upper base , k ' and k as in Art . 178 . a ( p + p ... slant height is 12 ft . , and the bases regular decagons whose sides are 8 ft . and 5 ft . , re- spectively ? Ans ...
Seite 169
... slant height , and k the area of the entire surface . πra = the convex surface . πηλ * the area of the base . .. k πr ( a + r ) . 187. Examples . 1. What is the entire surface of a cone whose slant height is 10 ft . and radius 5 ft ...
... slant height , and k the area of the entire surface . πra = the convex surface . πηλ * the area of the base . .. k πr ( a + r ) . 187. Examples . 1. What is the entire surface of a cone whose slant height is 10 ft . and radius 5 ft ...
Seite 170
... slant height is 20 ft . Ans . 1432.5696 sq . ft . 2. Find the entire surface of the frustum of a cone of which the radius of the lower base is 25 in . , the radius of the upper base 12 in . , and the slant height 36 in . Ans . 45.8368 ...
... slant height is 20 ft . Ans . 1432.5696 sq . ft . 2. Find the entire surface of the frustum of a cone of which the radius of the lower base is 25 in . , the radius of the upper base 12 in . , and the slant height 36 in . Ans . 45.8368 ...
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Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 106 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Seite 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.
Seite 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...
Seite 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.
Seite 20 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Seite 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.
Seite viii - For a number greater than 1, the characteristic is positive and is one less than the number of digits before the decimal point.
Seite 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.
Seite 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.