## 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

Results 6-10 of 38

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**miles**? Ans . , 3110.794 square**miles**. If the excess of the angles above two right angles is ex- pressed in seconds , we must divide it by 90 degrees also ex- pressed in seconds ; that is , by 324,000 . PROBLEM XII . ( 131. ) To find ... Page 100

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**mile**, when they find that the angles formed between a line from one to the other , and from each to the fort , are 85 ° 15 ′ and 83 ° 45 ' . What are the respective distances from the fort ? Ans . , 4584.52 and 4596.10 yards . PROBLEM ... Page 115

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**miles**in length , was measured with every precaution . A station , C , was also selected upon the other side of the bay , near An- napolis , so situated that it was visi ble from A and B. The three angles . of the triangle ABC were then ... Page 116

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**miles**, as deduced from the Kent Island base , differed only twenty inches from that derived from the Long Island base , distant two hundred**miles**. The superiority of this method of surveying arises from the circumstance that it is ... Page 123

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**miles**, and if Mount Etna can be seen at sea 126**miles**, what is its height ? Ans . , 2**miles**. Ex . 2. If a straight line from the summit of Chimborazo touch the surface of the ocean at the distance of 179**miles**, what is the height of ...### 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.