Manual of plane trigonometry, by J.A. Galbraith and S. Haughton |
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Página 17
... corresponds in the tables to 8 ° ; the complement of this 82 ° B. If the squares of a and b be added , the sum is 254937.8729 ; the square root of this being taken , we find 504.91 . Ans . c 504.91 feet . 4 = 8 ° . 2. Given a = 141.407 ...
... corresponds in the tables to 8 ° ; the complement of this 82 ° B. If the squares of a and b be added , the sum is 254937.8729 ; the square root of this being taken , we find 504.91 . Ans . c 504.91 feet . 4 = 8 ° . 2. Given a = 141.407 ...
Página 20
... corresponding angle : log tan A = 10.3925893 log tan 67 ° .57 ' = 10.3925003 Tab . diff . = 3631 . 890 = diff . 890 х бо = 14 " . 3631 Ans . A = 67 ° 57 ′ 14 ′′ . B = 22 ° 2 ′ 46 ′′ . To find c , 10+ log 121 = 12.0827854 log 20 RIGHT ...
... corresponding angle : log tan A = 10.3925893 log tan 67 ° .57 ' = 10.3925003 Tab . diff . = 3631 . 890 = diff . 890 х бо = 14 " . 3631 Ans . A = 67 ° 57 ′ 14 ′′ . B = 22 ° 2 ′ 46 ′′ . To find c , 10+ log 121 = 12.0827854 log 20 RIGHT ...
Página 36
... corresponds with the result otherwise obtained in Prop . I. If for the value of 1 + cos A obtained in equa- tion ( 2 ) we substitute its equal , 2 cos2 A ( Chap . IV . ( 23 ) ) ; and for the factors ( b + c - a ) and ( a + b + c ) their ...
... corresponds with the result otherwise obtained in Prop . I. If for the value of 1 + cos A obtained in equa- tion ( 2 ) we substitute its equal , 2 cos2 A ( Chap . IV . ( 23 ) ) ; and for the factors ( b + c - a ) and ( a + b + c ) their ...
Página 45
... corresponds two angles whose sum is 180 ° . This appears also from the geometrical con- struction of the triangle , as follows . Let the given angle A be acute , draw AC = b , from A draw a line AN of indefinite length , and making an ...
... corresponds two angles whose sum is 180 ° . This appears also from the geometrical con- struction of the triangle , as follows . Let the given angle A be acute , draw AC = b , from A draw a line AN of indefinite length , and making an ...
Página 46
... corresponds to this value of log sin B , is 54 ° 2 ′ 21 ′′ . From what has been said above , it appears that the ... correspond two values of C respectively , by applying equa- tion ( 2 ) , viz .. C ' = 83 ° 32 ′ 39 ′′ = 11 ° 37 ′ 21 ...
... corresponds to this value of log sin B , is 54 ° 2 ′ 21 ′′ . From what has been said above , it appears that the ... correspond two values of C respectively , by applying equa- tion ( 2 ) , viz .. C ' = 83 ° 32 ′ 39 ′′ = 11 ° 37 ′ 21 ...
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...