Elements of Plane and Spherical Trigonometry with Logarithmic and Other Mathematical Tables and Examples of Their Use and Hints on the Art of ComputationH. Holt, 1882 - 104 páginas |
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Página 34
... column . The values of the four func- tions log sine , log tangent , log cotangent , and log cosine , as read at the bottom of the page , are then found in the same line as the minutes . Example 1. For 52 ° 59 ' we find log sin 9.902 25 ...
... column . The values of the four func- tions log sine , log tangent , log cotangent , and log cosine , as read at the bottom of the page , are then found in the same line as the minutes . Example 1. For 52 ° 59 ' we find log sin 9.902 25 ...
Página 43
... column A , being log x , the quantity B in the table is log ( 1 + x ) . Example . log 0.25 9.397 94 . = Entering the table with A = 9.397 94 , we find B = 0.096 91 , which is the logarithm of 1.25 . Therefore , entering the table with ...
... column A , being log x , the quantity B in the table is log ( 1 + x ) . Example . log 0.25 9.397 94 . = Entering the table with A = 9.397 94 , we find B = 0.096 91 , which is the logarithm of 1.25 . Therefore , entering the table with ...
Página 46
... column zero , and the other two are the last two figures of B as printed . As an example , let us find log ( a + b ) from log a = 2.791 63 log b = 1.128 19 A 1.663 44 Entering the table with this value of A , we find by column 0 that BA ...
... column zero , and the other two are the last two figures of B as printed . As an example , let us find log ( a + b ) from log a = 2.791 63 log b = 1.128 19 A 1.663 44 Entering the table with this value of A , we find by column 0 that BA ...
Página 47
... column A with this difference , we find the nearest tabu- lar value of A to be 2.0425 , to which corresponds B A = .003 92 . Hence log ( a + b ) = 1.265 32 + .003 92 = 1.269 24 . - Entering column B with the same difference , we find B ...
... column A with this difference , we find the nearest tabu- lar value of A to be 2.0425 , to which corresponds B A = .003 92 . Hence log ( a + b ) = 1.265 32 + .003 92 = 1.269 24 . - Entering column B with the same difference , we find B ...
Página 49
... columns , and the tens and units in the left - hand column . The first three or four figures of the square are in the column under the hundreds , and opposite the tens and units , and the last two figures on the right of the page after the ...
... columns , and the tens and units in the left - hand column . The first three or four figures of the square are in the column under the hundreds , and opposite the tens and units , and the last two figures on the right of the page after the ...
Otras ediciones - Ver todas
Elements of Plane and Spherical Trigonometry with Logarithmic and Other ... Simon Newcomb Sin vista previa disponible - 2016 |
Elements of Plane and Spherical Trigonometry: With Logarithmic and Other ... Simon Newcomb Sin vista previa disponible - 2018 |
Elements of Plane and Spherical Trigonometry: With Logarithmic and Other ... Simon Newcomb Sin vista previa disponible - 2017 |
Términos y frases comunes
9 Prop algebraic sign angle AOB angle corresponding angle XOM applied arithmetical complement circle circumference co-log co-ordinates coefficients column computation cos² cos³ cosec cosine cotangent Cotg differences distance divided Entering the table equal equations error example EXERCISES expression find log find the values formula fourth quadrant geometry gives greater Hence interpolation intersect latitude length line OX log cot measure metres minutes nth roots perpendicular places of decimals polar triangle polygon preceding problem projection quantities radius revolving right angle right triangle roots of unity secant sides sin a cos sin a sin sin² sine N sines and cosines spherical triangle spherical trigonometry square substituting subtract suppose Tang theorem third quadrant tions trigono trigonometric functions trihedral angle unit write wwww zero ΙΟ
Pasajes populares
Página 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 4 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 66 - In any triangle the square of any side is equal to the sum of the squares of the other two sides minus twice the product of these two sides and the cosine of their included angle.
Página 70 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Página 34 - To find the trigonometric functions corresponding to an angle between 45° and 90°, we take the degrees at the bottom of the page and the minutes in the right-hand column. The values of the...
Página 139 - 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 132 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts. II. The sine of the middle part is equal to the product of the cosines of the opposite parts.
Página 44 - To express the sine and cosine of the sum of two angles in terms of the sines and cosines of the angles.
Página 73 - If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles supplemental, the two triangles are equal.
Página 53 - Conventionally the period is divided into 24 hours, each hour into 60 minutes, and each minute into 60 seconds.