Elements of Plane and Spherical Trigonometry: With Practical Applications |
From inside the book
Results 1-5 of 28
Page 7
... required logarithm . it be required to find the logarithm of 93192 : Thus , if the logarithm of 93190 is 4.969369 Dif . from col . D , 47 66 66 9.4 93192 " 4.969378 . 2 9.4 This process is based upon the supposition that the differences ...
... required logarithm . it be required to find the logarithm of 93192 : Thus , if the logarithm of 93190 is 4.969369 Dif . from col . D , 47 66 66 9.4 93192 " 4.969378 . 2 9.4 This process is based upon the supposition that the differences ...
Page 9
... required to find the number corresponding to the logarithm 2.633356 . The dec . part of the given log . is .633356 66 66 log . next less is .633266 , correspon . num . , 4298 Their difference is Difference from column D is 90.00 101 89 ...
... required to find the number corresponding to the logarithm 2.633356 . The dec . part of the given log . is .633356 66 66 log . next less is .633266 , correspon . num . , 4298 Their difference is Difference from column D is 90.00 101 89 ...
Page 11
... number is to be raised ; and the product will be the logarithm of the required power ( Art . 11 ) . Since the exponent of any power is positive , a negative char- acteristic multiplied by it will give a negative result ; BOOK I. 11.
... number is to be raised ; and the product will be the logarithm of the required power ( Art . 11 ) . Since the exponent of any power is positive , a negative char- acteristic multiplied by it will give a negative result ; BOOK I. 11.
Page 12
... Required the cube , or third power , of .25 . Log .25 = Ans . 0.015625 3. Required the tenth power of .64 . 1.397940 3 2.193820 Ans . .0115292 . EVOLUTION BY LOGARITHMS . 35. Divide the logarithm of the given number by the index of the ...
... Required the cube , or third power , of .25 . Log .25 = Ans . 0.015625 3. Required the tenth power of .64 . 1.397940 3 2.193820 Ans . .0115292 . EVOLUTION BY LOGARITHMS . 35. Divide the logarithm of the given number by the index of the ...
Page 38
... required , The logarithmic sine of 30 ° 25 ′ is 9.704395 Tabular difference , Number of seconds , Product , 3.59 42 150.78 Logarithmic sine of 30 ° 25 ' 42 " is 150.78 9.704546 It is customary to omit the decimal figures at the right ...
... required , The logarithmic sine of 30 ° 25 ′ is 9.704395 Tabular difference , Number of seconds , Product , 3.59 42 150.78 Logarithmic sine of 30 ° 25 ' 42 " is 150.78 9.704546 It is customary to omit the decimal figures at the right ...
Other editions - View all
Common terms and phrases
A B C A+ log acute angle adjacent sides Algebra angle equal angle of elevation angle opposite angle or arc ar.co.log Arithme column headed cos² cosec Cotang decimal denoted divided Elementary Algebra equation Equations Art EXAMPLES feet find the SINE formulæ Geom Geometry given number Given the hypothenuse Greenleaf's New Series half the sum Hence included angle log cos log cot log sin logarithmic cosine logarithmic sine logarithmic tangent M.
M. Sine minus the logarithmic Napier's rules negative oblique oblique-angled spherical triangle Parker's Exercises perpendicular plane triangle Prop right-angled spherical triangle right-angled triangle equal rods School secant side b equal side opposite sin A cos sin A sin sin a+b sin² sine and cosine Solution solve the triangle spherical triangle ABC SPHERICAL TRIGONOMETRY subtract sun's declination suvers suversed sine Tang tangent of half trigonometric functions values whence yards
Popular passages
Page 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 7 - This process, like its converse (Art. 23), is based upon the supposition that the differences of logarithms are proportional to the differences of their corresponding numbers.
Page 4 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a"" . Therefore, log (M m) = xm = (log M) X »»12.
Page 74 - Spherical Triangle the cosine of any side is equal to the product of the cosines of the other two sides, plus the product of the sines of those sides into the cosine of their included angle ; that is, (1) cos a = cos b...
Page 43 - In every plane triangle, the sum of two sides is to their difference as the tangent of half the sum of the angles opposite those sides is to the tangent of half their difference.
Page 39 - ... be at the head of the column, take the degrees at the top of the table, and the minutes on the left ; but if the name be at the foot of the column, take the degrees at the bottom, and the minutes on the right.
Page 46 - The cosine of half of any angle of a plane triangle is equal to the square root of half the sum of the three sides, into half the sum less the side opposite the angle, divided by the rectangle of the two adjacent sides.