Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful TablesHarper & brothers, 1859 - 150 páginas |
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Página 8
... obtain the required product . Also , since powers of the same quantity are divided by sub- tracting their exponents ( Alg . , Art . 66 ) , The logarithm of the quotient of one number divided by an- other , is equal to the difference of ...
... obtain the required product . Also , since powers of the same quantity are divided by sub- tracting their exponents ( Alg . , Art . 66 ) , The logarithm of the quotient of one number divided by an- other , is equal to the difference of ...
Página 11
... , the characteristic of its log- arithm would be 4 , but the decimal part would be the same as for 7250.1 . If it were required to find the correction for a sixth figure in the natural number , it is readily obtained from LOGARITHMS . 11.
... , the characteristic of its log- arithm would be 4 , but the decimal part would be the same as for 7250.1 . If it were required to find the correction for a sixth figure in the natural number , it is readily obtained from LOGARITHMS . 11.
Página 12
With Other Useful Tables Elias Loomis. in the natural number , it is readily obtained from the Propor- tional Parts in the ... obtain 5.655896 . The preceding logarithms do not pretend to be perfectly exact , but only the nearest numbers ...
With Other Useful Tables Elias Loomis. in the natural number , it is readily obtained from the Propor- tional Parts in the ... obtain 5.655896 . The preceding logarithms do not pretend to be perfectly exact , but only the nearest numbers ...
Página 14
... obtained by means of the Proportional Parts at the bottom of the page . Required the number belonging to the logarithm 4.368399 . On page 6 , we find the next less logarithm .368287 . The four corresponding figures of the natural number ...
... obtained by means of the Proportional Parts at the bottom of the page . Required the number belonging to the logarithm 4.368399 . On page 6 , we find the next less logarithm .368287 . The four corresponding figures of the natural number ...
Página 29
... obtain for the sine of 1 ° 17 ' 33 " , 8.353271 . A similar method may be employed for several of the first degrees ... obtained pretty nearly by inspection , from comparing the proportional parts for two successive de- grees . Thus , on ...
... obtain for the sine of 1 ° 17 ' 33 " , 8.353271 . A similar method may be employed for several of the first degrees ... obtained pretty nearly by inspection , from comparing the proportional parts for two successive de- grees . Thus , on ...
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Términos y frases comunes
9 I I altitude angle of elevation arithm base chains circle Co-sine Co-tangent complement computed correction cosecant course and distance decimal diameter diff difference of latitude difference of longitude Dist divided equal equator fifth figure find the angles find the area find the Logarithm frustum given number given the angle height Hence horizontal plane hypothenuse inches latitude and departure length LO LO LO logarithmic sine measured meridian middle latitude miles minutes Multiply natural number nautical miles parallel parallel sailing perpendicular places plane sailing Prob Prop proportional quadrant radius Required the logarithmic right-angled spherical triangle right-angled triangle Sandy Hook secant ship sails side AC spherical triangle ABC SPHERICAL TRIGONOMETRY station subtract surface tabular number tang Tangent telescope theodolite Theorem vernier vertical Vulgar Fraction wyll yards zoids ΙΙ ΙΟ
Pasajes populares
Página 20 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Página 163 - In any spherical triangle, the sines of the sides are proportional to the sines of the opposite angles. In the case of right-angled spherical triangles, this proposition has already been demonstrated.
Página 69 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.
Página 54 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.
Página 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.
Página vi - The characteristic of the logarithm of ANY NUMBER GREATER THAN UNITY, is one less than the number of integral figures in the given number.
Página 184 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.