Elements of Trigonometry: Plane and SphericalHarper & brothers, 1898 - 138 páginas Carl J. Martinson collection. |
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Página 67
... column is less than .0000005 . Hence , the total error is less than .00000165 . Remark . — We should get the same series if we were to use ( 6 ) . loge 3 = loge 2 + 2 • I I I + + .5 3 5 I I I I -- 5 5 ° + • + 7 57 · I - = . 2000000 5 I ...
... column is less than .0000005 . Hence , the total error is less than .00000165 . Remark . — We should get the same series if we were to use ( 6 ) . loge 3 = loge 2 + 2 • I I I + + .5 3 5 I I I I -- 5 5 ° + • + 7 57 · I - = . 2000000 5 I ...
Página 91
... columns left standing upright in a certain ruins ; the one is 66 ft . above the plain , and the other 48. In a straight line between them stands an ancient statue ... column , the base of which measures just 74 ft MISCELLANEOUS EXERCISES 91.
... columns left standing upright in a certain ruins ; the one is 66 ft . above the plain , and the other 48. In a straight line between them stands an ancient statue ... column , the base of which measures just 74 ft MISCELLANEOUS EXERCISES 91.
Página 92
Plane and Spherical Andrew Wheeler Phillips, Wendell Melville Strong. column , the base of which measures just 74 ft . to the centre of the figure's base . Required the distance between the tops of the two columns . ( 40. ) Two sides of ...
Plane and Spherical Andrew Wheeler Phillips, Wendell Melville Strong. column , the base of which measures just 74 ft . to the centre of the figure's base . Required the distance between the tops of the two columns . ( 40. ) Two sides of ...
Página 12
... column under the fourth is the desired mantissa . Only the last three figures of the mantissa are found thus ; the first two must be taken from the first column ; they are found either in the same line or in the first line above which ...
... column under the fourth is the desired mantissa . Only the last three figures of the mantissa are found thus ; the first two must be taken from the first column ; they are found either in the same line or in the first line above which ...
Página
... column “ d . ” ) log sin 28 ° 14 ' = 9.67492-10 - 23 X.6 13.8 = 14 nearly log sin 28 ° 14 ′ 36 ′′ 9.67506— IO Find log cos 39 ° 17 ′ 22 ′′ ( = log cos 39 ° 17.33 ′ ) . log cos 39 ° 17 ' = 9.88875-10 10 X.33 = 4 log cos 39 ° 17 ′ 22 ...
... column “ d . ” ) log sin 28 ° 14 ' = 9.67492-10 - 23 X.6 13.8 = 14 nearly log sin 28 ° 14 ′ 36 ′′ 9.67506— IO Find log cos 39 ° 17 ′ 22 ′′ ( = log cos 39 ° 17.33 ′ ) . log cos 39 ° 17 ' = 9.88875-10 10 X.33 = 4 log cos 39 ° 17 ′ 22 ...
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Términos y frases comunes
angle less angle of elevation angle opposite celestial equator celestial sphere circle colog comp cos² cos³ cosc cosh cosx cosy cotangent Cotg cotx decimal ecliptic equal find the angles Find the area Find the distance Find the height formulas greater than 90 Hence hyperbolic functions hypotenuse included angle initial line L.Tang latitude light-house log cot LOGARITHMS OF NUMBERS loge longitude mantissa meridian miles Napier's rules negative OBLIQUE TRIANGLES obtain perpendicular plane polar triangle pole positive Prove quadrantal triangle radians radius Required the remaining right angle right ascension right spherical triangle right triangle roots of unity secx sin b sin sin² sin³ sine and cosine sinh siny solution spherical triangle ABC spherical trigonometry subtends an angle TABLE tanc Tang tany terminal line TRIGONOMETRIC FUNCTIONS values yards ΙΟ ΙΟΙ ཤྩ
Pasajes populares
Página 93 - I. The sine of the middle part is equal to the product of the tangents of the adjacent parts.
Página 62 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. , M , ,• , . logi — = log
Página 143 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 17 - The sine of an angle is equal to the sine of its supplement. The sine rule Consider fig.
Página 143 - Root of a Number: Divide the logarithm of the number by the index of the root ; the quotient is the logarithm of the required root of the number.
Página 51 - If 2 men start from the same place and travel in opposite directions, one at the rate of 4 miles an hour, and the other at the rate of 5 miles an hour, how far apart will they be at the end of 1 hour ? At the end of 2 hours ? 5 hours?
Página 143 - Hence, all numbers that differ only in the position of the decimal point have the same significant part. For example, .002103...
Página 62 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 62 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Página 49 - BCA were measured and found to be 322.55 yd., 60° 34', and 56° 10' respectively. Find the distance AB. 10. A balloon is directly over a straight level road, and between two points on the road from which it is observed. The points are 15847 ft. apart, and the angles of elevation are found to be 49° 12' and 53° 29