Plane and Spherical Trigonometry and MensurationAmerican Book Company, 1875 - 251 Seiten |
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Seite iii
... examples , thus giving the application of the principle in immediate connection with its statement . The trigonometrical functions are defined , not as ratios , but as linear functions of the angle , thus giving the student clear ...
... examples , thus giving the application of the principle in immediate connection with its statement . The trigonometrical functions are defined , not as ratios , but as linear functions of the angle , thus giving the student clear ...
Seite 15
... Examples . 1. What is the logarithm of 2347 ? Ans . 3.37051 . 2. What is the logarithm of 108457 ? Ans . 5.03526 . 3. What is the logarithm of 376542 ? 4. What is the logarithm of 229.7052 ? 5. What is the logarithm of 1128737 ? 6. What ...
... Examples . 1. What is the logarithm of 2347 ? Ans . 3.37051 . 2. What is the logarithm of 108457 ? Ans . 5.03526 . 3. What is the logarithm of 376542 ? 4. What is the logarithm of 229.7052 ? 5. What is the logarithm of 1128737 ? 6. What ...
Seite 17
... Examples . 1. What number corresponds to logarithm 4.55703 ? Ans . 36060 . 2. What number corresponds to logarithm 3.95147 ? Ans . 8942.8 . Ans . .025781 . 3. What number corresponds to logarithm 2.41130 ? S. N. 2 . 4. What number ...
... Examples . 1. What number corresponds to logarithm 4.55703 ? Ans . 36060 . 2. What number corresponds to logarithm 3.95147 ? Ans . 8942.8 . Ans . .025781 . 3. What number corresponds to logarithm 2.41130 ? S. N. 2 . 4. What number ...
Seite 18
... Examples . 1. Find the product of 57846 and .003927 . log .0039273.59406 log 57846 ** 4.76228 .. product 227.16 . = log product = 2.35634 , 2. Find the product of 37.58 and 75864 . 3. Find the product of .3754 and .00756 . Ans . 2851000 ...
... Examples . 1. Find the product of 57846 and .003927 . log .0039273.59406 log 57846 ** 4.76228 .. product 227.16 . = log product = 2.35634 , 2. Find the product of 37.58 and 75864 . 3. Find the product of .3754 and .00756 . Ans . 2851000 ...
Seite 19
... Examples . 1. Divide 73.125 by .125 . log log 73.125 .125 = 1.86407 1.09691 log quotient 2.76716 , .. quotient = 585 . 2. Divide 7.5 by .000025 . 3. Divide 87.9 by .0345 . 4. Divide .34852 by .00789 . 5. Divide 85734 by 12.7523 . Ans ...
... Examples . 1. Divide 73.125 by .125 . log log 73.125 .125 = 1.86407 1.09691 log quotient 2.76716 , .. quotient = 585 . 2. Divide 7.5 by .000025 . 3. Divide 87.9 by .0345 . 4. Divide .34852 by .00789 . 5. Divide 85734 by 12.7523 . Ans ...
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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.