Elements of Plane and Spherical Trigonometry: With Practical Applications |
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Page 60
... Cotang . I 11.758079 59 .539186. M. | Sine . D 0 0.000000 10.000000 0.000000 D. | Cotang . Infinite . 60 71 6.463726 5017.17 .000000 .00 6.463726 5017.17 13.536274 59 2 .764756 2934.85 .000000 .00 .764756 2934.83 .235244 58 3 .940847 ...
... Cotang . I 11.758079 59 .539186. M. | Sine . D 0 0.000000 10.000000 0.000000 D. | Cotang . Infinite . 60 71 6.463726 5017.17 .000000 .00 6.463726 5017.17 13.536274 59 2 .764756 2934.85 .000000 .00 .764756 2934.83 .235244 58 3 .940847 ...
Page 61
With Practical Applications Benjamin Greenleaf. COTANGENTS , D. | Cotang . I 11.758079 59 .539186 .542819 | Cosine . | D. | Tang . | .998932. 1 ° TANGENTS ... Cotang . D. Tang . | M. M. | Sine . | D. Cosine . D. Tang 88 ° It A 24 . is res 1.
With Practical Applications Benjamin Greenleaf. COTANGENTS , D. | Cotang . I 11.758079 59 .539186 .542819 | Cosine . | D. | Tang . | .998932. 1 ° TANGENTS ... Cotang . D. Tang . | M. M. | Sine . | D. Cosine . D. Tang 88 ° It A 24 . is res 1.
Page 62
... Cotang . 0 8.542819 60.04 9.999735 .07 8.543084 60.12 11.456916 60 1 .546422 59.55 .999731 .07 .546691 59.62 .453309 59 2 .549995 59.06 .999726 .07 .550268 59.14 .449732 58 3 .553539 58.58 .999722 .08 .553817 58.66 .446183 57 .557054 ...
... Cotang . 0 8.542819 60.04 9.999735 .07 8.543084 60.12 11.456916 60 1 .546422 59.55 .999731 .07 .546691 59.62 .453309 59 2 .549995 59.06 .999726 .07 .550268 59.14 .449732 58 3 .553539 58.58 .999722 .08 .553817 58.66 .446183 57 .557054 ...
Page 53
... Cotang . I 11.058048 60 .056596 59 58 055148 19 0'28 28 27 26 25 2012 772 / 160941 426769 8969 24 23 22 21 20 19 18 ... Cotang . D. | Tang . | M. D .. | Cotang . | 11.155356 60 .153545 59 84 ° 5 ° 23 TANGENTS , AND COTANGENTS .
... Cotang . I 11.058048 60 .056596 59 58 055148 19 0'28 28 27 26 25 2012 772 / 160941 426769 8969 24 23 22 21 20 19 18 ... Cotang . D. | Tang . | M. D .. | Cotang . | 11.155356 60 .153545 59 84 ° 5 ° 23 TANGENTS , AND COTANGENTS .
Page 55
... Cotang . I 11.058048 60 .056596 59 24.13 .943174 23.87 .998322 .19 .944852 24.05 .055148 58 .944606 23.79 .998311 .19 .946295 23.97 .053705 57 .946034 23.71 .998300 .19 .947734 23.90 .052266 56 5 .947456 23 63 .998289 .19 .949168 23.82 ...
... Cotang . I 11.058048 60 .056596 59 24.13 .943174 23.87 .998322 .19 .944852 24.05 .055148 58 .944606 23.79 .998311 .19 .946295 23.97 .053705 57 .946034 23.71 .998300 .19 .947734 23.90 .052266 56 5 .947456 23 63 .998289 .19 .949168 23.82 ...
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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.