## 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 |

### From inside the book

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**miles**, what is its circumference ? Ans . , 24856.28**miles**. Ex . 3. If the diameter of the earth's orbit is 189,761,000**miles**, what is its circumference ? Ans . , 596,151,764**miles**. To obtain this answer , the value of π must be ... Page 67

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**miles**, what is its diameter ? Ans . , 2160**miles**. Ex . 3. If the circumference of the moon's orbit is 1,492,987**miles**, what is its diameter ? Ans . , 475,233**miles**. PROBLEM VIII . ( 95. ) To find the length of an arc of a circle ... Page 86

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**miles**. Ans . , 196,662,896 square**miles**. Ex . 2. Required the surface of the moon , its circumference being 6786**miles**. Ans . PROBLEM VIII . ( 126. ) To find the solidity of a sphere . RULE . Multiply the surface by one third of the ... Page 87

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**miles**in diameter ? Ans . , 259,332,805,350 cubic**miles**. Ex . 2. If the diameter of the moon be 2160**miles**, what is Ans . its solidity ? PROBLEM IX . ( 127. ) To find the surface of a spherical zone . RULE . Multiply the altitude of ... Page 88

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**miles**. Ex . 3. On the same suppositions , find the surface of each of the temperate zones . Ans . , 51,056,587 square**miles**. PROBLEM X. ( 128. ) To find the solidity of a spherical segment with one base . RULE . Multiply half the ...### 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.