## A Collection of Tables and Formulæ Useful in Surveying, Geodesy, and Practical Astronomy: Including Elements for the Projection of Maps |

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### Contents

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### Common terms and phrases

Almanac altitude angle apparent approximate axis azimuth Barometer base Chronometer Co-ordinates comparison compute convert correction corresponding cubic culmination declination deduced deflection determined Diff difference distance division east English English inches equal altitudes equation error expressed Fahrenheit feet foot formed formula French given horizontal hour angle inches inclination interval known Latitude length limb Long longitude magnet mean mean moon mean solar measure meridian method metre middle miles Minutes moon's Nautical nearly noon object observed obtained parallax parallel polar pole preceding quantities radius readings Reduction refraction result scale seconds Sextant sidereal sides sine standard Star station Sun's Survey Table taken tang temperature term Thermometer tion transit true unit upper vibration weight wire Yards zenith distance

### Popular passages

Page 6 - The units of capacity measure are the gallon for liquid, and the bushel for dry measure. The gallon is a vessel containing 58372.2 grains (8.3389 pounds avoirdupois) of the standard pound of distilled water, at the temperature of maximum density of water, the vessel being weighed in air in which the barometer is 30 inches at 82° Fahrenheit, The.

Page 11 - Aroirdupois. 1 myriagramme = 22-0485 Ibs. Avoirdupois. 1 quintal = 1 cwt. 3 qrs. 25 Ibs. The unit of superficial measure is "the are, a surface of ten metres each way, or 100 square metres. The unit of measures of capacity is the litre, a vessel containing the cube of a tenth part of the metre, and equivalent, to 0-220097 parts of the British imperial gallon. The standard temperature is 32° F. All the divisions and multiples of the units are decimal.

Page 29 - Multiply the double meridian distance of each course by its northing or southing. 2. Place all the plus products in one column, and all the minus products in another. 3. Add up each column separately and take their difference. This difference will be double the area of the land. In balancing the work, the error for each particular course is found by the proportion : as the sum of the courses is to the error of latitude, (or departure,) so is each particular course to its correction.

Page 8 - Gallon., containing Ten Pounds Avoirdupois Weight of distilled Water weighed in Air, at the Temperature of Sixty two Degrees of Fahrenheit's Thermometer, the Barometer being at...

Page 51 - As the angles at A and B are very small, they may be regarded as equal to A sin i...

Page 140 - Greenwich mean time, and is continued through the 24 hours, to the following mean noon, when another day begins. It may therefore be called the mean astronomical day, although, in practice, astronomers begin the day at the moment the true Sun's centre is on their meridian. In the civil, or common, method of reckoning, the day is supposed to commence at the preceding midnight...

Page 21 - The area of each end added to four times the middle area, and the sum multiplied by the length divided by 6, will give the solid content. If the measures used in the calculation are yards, the result will be the content in cubic yards ; but if they are feet, the result must be divided by 27, to obtain the corresponding number of yards. CALCULATION OF THE TRIANGULAR PORTION O.

Page 63 - In terms of the coordinates of rectangular axes referred to one of the points of the triangulation, the latitude and longitude of which are known, — y being the ordinate in the direction of the meridian, and x the ordinate perpendicular to it, — the...

Page 129 - ... from its centre perpendicular to its direction : the experiments of vibration consist in suspending the magnet which was used as the deflecting magnet in the experiments of deflection, and observing its time of vibration. By the first part of the process (or the experiments of deflection) we obtain the ratio of the magnetic moment of the deflecting magnet to the Earth's horizontal magnetic force at the place of observation ; the latter being to the former as 1 to the sine of the angle of deflection...

Page 29 - The double meridian distance of any course is equal to the double meridian distance of the preceding course, plus its departure, plus the departure of the course itself.