Manual of plane trigonometry, by J.A. Galbraith and S. Haughton |
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Página 1
... computation of triangles . As Geometry enables us to construct a triangle from three independent data , so Trigonometry enables us , from the same data expressed in numbers , to calculate its sides and angles . Triangles may be drawn ...
... computation of triangles . As Geometry enables us to construct a triangle from three independent data , so Trigonometry enables us , from the same data expressed in numbers , to calculate its sides and angles . Triangles may be drawn ...
Página 6
... MAGNITUDES . 1. THERE are certain magnitudes connected with angles , and entering into every trigonometrical computation , which are defined as follows : Let the right lines ( fig . 2 ) AA 6 TRIGONOMETRICAL MAGNITUDES .
... MAGNITUDES . 1. THERE are certain magnitudes connected with angles , and entering into every trigonometrical computation , which are defined as follows : Let the right lines ( fig . 2 ) AA 6 TRIGONOMETRICAL MAGNITUDES .
Página 13
... method by which such tables are constructed is unsuited to the present treatise . The mode of using them in computations is explained in the Appendix . EXAMPLES . 1. Calculate the value of the tangent of TRIGONOMETRICAL MAGNITUDES . 13.
... method by which such tables are constructed is unsuited to the present treatise . The mode of using them in computations is explained in the Appendix . EXAMPLES . 1. Calculate the value of the tangent of TRIGONOMETRICAL MAGNITUDES . 13.
Página 21
... Given a and c , it is required to find b , A , and B. By equation ( 1 ) , log sin A log sin A - a sin 4 = 2 , A IO = log a log c , log c = 10 + log a 1 By means of this equation we can compute 4 . RIGHT - ANGLED TRIANGLES . 272 21.
... Given a and c , it is required to find b , A , and B. By equation ( 1 ) , log sin A log sin A - a sin 4 = 2 , A IO = log a log c , log c = 10 + log a 1 By means of this equation we can compute 4 . RIGHT - ANGLED TRIANGLES . 272 21.
Página 22
Joseph Allen Galbraith. By means of this equation we can compute 4 . We find 6 by the equation , b2 = c2 − a2 = ( c + a ) ( c − a ) . Taking the logarithms of both sides , 2 log b = log ( c + a ) + log ( c − a ) . EXAMPLES . 1. Given ...
Joseph Allen Galbraith. By means of this equation we can compute 4 . We find 6 by the equation , b2 = c2 − a2 = ( c + a ) ( c − a ) . Taking the logarithms of both sides , 2 log b = log ( c + a ) + log ( c − a ) . EXAMPLES . 1. Given ...
Otras ediciones - Ver todas
Manual of Plane Trigonometry, by J.A. Galbraith and S. Haughton Joseph Allen Galbraith Sin vista previa disponible - 2016 |
Manual of Plane Trigonometry, by J. A. Galbraith and S. Haughton Joseph Allen Galbraith Sin vista previa disponible - 2015 |
Términos y frases comunes
a² 2bc angle ACB angle is equal angular unit appears from Prop Calculate the value centre Chap circle Circumference complement corresponding number cosec degrees and minutes diameter diff divide equation Euclid Express feet find the angle find the area Find the logarithm find the number Find the product Find the quotient find the value five figures following proportion four figures given angle Given log given side Given the logarithm hypotenuse log cosine log cotangent log sine log tangent Logarithmic Tables mantissa Natural Sines number is equal number of seconds obtain proceed by RULE PROPOSITION rence required to find right angle right-angled triangle secant sect sin A sin sines and cosines square root subtends subtract Tables of Natural tables the corresponding tabular difference triangle BCP TRIGONOMETRICAL MAGNITUDES value of log versin
Pasajes populares
Página ii - RULE. The characteristic of the logarithm of a number greater than unity, is one less than the number of integral figures in the given number.
Página iv - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 5 - ... to be divided into 60 equal parts, called minutes; and each minute into 60 equal parts, called seconds. Degrees, minutes, and seconds, are designated respectively, by the characters ° ' ". For example, ten degrees, eighteen minutes, and fourteen seconds, would be written 10° 18
Página 10 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Página iv - The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor.
Página ii - The Characteristic of the logarithm of a number less than unity, and reduced to the decimal form, is negative and one greater than the number of cyphers following the decimal point.
Página xi - ... will be the logarithm of the quotient. 3°. Find from the Tables the corresponding number. This will be the required quotient.
Página 2 - S3". 6. Besides the above-mentioned unit of angular measure, viz. the 90th part of a right angle, which is always used in practical applications, there is another, viz. the angle at the centre of a circle which is subtended by an arc equal to the radius of the circle, which is more convenient in analytical investigations.
Página 10 - We have, then, that the sine of an angle is equal to the cosine of its complement, and conversely.
Página 29 - Thus: sin (a + a) = sin a cos a + cos a sin a or: sin 2a = 2 sin a cos a...