## Mathematical and Astronomical Tables: For the Use of Students of Mathematics, Practical Astronomers, Surveyors, Engineers, and Navigators; with an Introduction, Containing the Explanation and Use of the Tables, Illustrated by Numerous Problems and Examples |

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Mathematical and Astronomical Tables, for the Use of Students of Mathematics ... William Galbraith No preview available - 2023 |

Mathematical and Astronomical Tables: For the Use of Students of Mathematics ... William Galbraith No preview available - 2017 |

Mathematical and Astronomical Tables: For the Use of Students of Mathematics ... William Galbraith No preview available - 2015 |

### Common terms and phrases

angle of elevation ascension and declination barometer base centre chronometer circle colatitude computed contained angle correct Cosec cosine cosine of half Cotang decimal degrees determined dew point diameter Diff dist ecliptic equal altitudes equation error EXAMPLE feet find the angle formula given number Greenwich half the difference half the sum height Hence horizontal hour hour angle hygrometer hypotenuse inches latitude length longitude lunars mean measured meridian method miles moon Multiply natural number Nautical Almanac nearly noon object obliquity observed opposite parallax pendulum perpendicular plane polar distance pole proportional logarithm quadrant radius reduced refraction right ascension rules secant second difference sexagesimal sine sine of half specific gravity sphere spherical triangle spherical trigonometry square star Star's subtract sun's declination Tang tangent tangent of half temperature THEOREM thermometer three sides tion transit tude whence zenith distance

### Popular passages

Page iv - The whole numbers or integers in the logarithmic series are hence easily obtained, being always a unit less than the number of figures in the integral part of the corresponding natural number.

Page 127 - ... once what is the weight of a quantity of water, equal in bulk to the solid matter in the sand ; and by comparing this with the weight of the sand, we have its true specific gravity.

Page 36 - A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains fixed.

Page 147 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.

Page 142 - Multiply the number in the table of multiplicands, by the breadth and square of the depth, both in inches, and divide that product by the length, also, in inches; the quotient will be the weight in Jbs.t Example 1.

Page xii - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.

Page 26 - ... part of the fathoms above found, and add them if the mean temperature be above 31°, but subtract them if the mean temperature be below 31°; and the sum or difference will be the true altitude in fathoms : or, being multiplied by 6, it will be the Altitude in feet. 392. Example 1. Let the state of the barometers and thermometers be as follows; to find the

Page 116 - ... the spheroid will be oblate or prolate, according as the revolution is performed about the minor or major axis of the ellipse.

Page 36 - ... pyramids or cones are as the cubes of their like linear sides, or diameters, or altitudes, &c. And the same for all similar solids whatever, viz. that they are in proportion to each other, as the cubes of their like linear dimensions, since they are composed of pyramids every way similar. THEOREM CXVI.

Page 10 - ... hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower was 33° 45' ; required the height of the tower.