## Tables of Logarithms of Numbers and of Sines and Tangents for Every Ten Seconds of the Quadrant: With Other Useful TablesHarper & brothers, 1859 - 150 pages |

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Page 11

... characteristic of its log-

... 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. Page 14

... will be the log-

... will be the log-

**arithm**of their product . Ex . 1. Required the product of 57.98 by 18 . The logarithm of 57.98 66 66 18 is 1.763278 is 14 TRIGONOMETRY Description of the Table of Logarithms Multiplication by Logarithms. Page 16

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**arithms**, we have the following RULE . From the logarithm of the dividend , subtract the logarithm of the divisor ...**arithmetic**. The remainder , added to the subtra- hend , should be equal to the minuend . This precaution should always ... Page 18

... subtracting the given log .

... subtracting the given log .

**arithm**from 10 , adding the difference to the other logarithm , and afterward rejecting the 10 . The difference between a given logarithm and 10 is called 18 TRIGONOMETRY . Proportion by Logarithms. Page 32

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**arithm**of 2062. " 68 . Hence the required arc is 34 ' 22./68 . In the same manner , we find the arc corresponding to loga- rithmic tangent 8.184608 to be 0 ° 52 ′ 35 ′′ . SOLUTIONS OF RIGHT - ANGLED TRIANGLES . THEOREM I. ( 41. ) In any ...### Other editions - View all

### Common terms and phrases

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

### Popular passages

Page 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.

Page 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.

Page 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.

Page 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.

Page 69 - TO THE NUMBER OF DEGREES IN THE ARC ; So IS THE AREA OF THE CIRCLE, TO THE AREA OF THE SECTOR.

Page 73 - To find the solidity of a pyramid. RULE. Multiply the area of the base by one third of the altitude.

Page 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.

Page 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.