## Professional Papers of the Corps of Engineers of the United States Army |

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&c.—Continued altitude angle Apparent approximate assumed axis azimuth Barometer base chord Chronometer circle co-efficient column Computation convert correction corresponding cubic culmination curvature curve declination determine diff difference Distance east elongation English equal equation error experiments expressed Fahrenheit Feet Form formula given gives horizontal inches interval known Latitude length limb Longitude magnet mean mean solar measured meridian method metre middle miles Minutes noon noted object observations obtained oo oo oo oscillation parallel plane Polaris position quantities radius record reduced refraction result right ascension scale seconds side sidereal standard star stations Survey Table taken telescope temperature term transit true turn United vertical weight wire Yards zenith-distance ܘ ܘ

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Page 10 - Statutes the tables in the schedule hereto annexed shall be recognized in the construction of contracts, and in all legal proceedings, as establishing, in terms of the weights and measures now in use in the United States, the equivalents of the weights and measures expressed therein in terms of the metric system...

Page 21 - 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 180 - ... of solar time. The astronomical day begins at noon. In the civil or common method of reckoning, the day is supposed to commence at the preceding midnight.

Page 5 - 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 62° Fahrenheit.

Page 136 - The coefficient of refraction or the proportion of intercepted arc is determined from the observed zenith distances to two stations, the relative altitudes of which have been determined by the spiritlevel; or from reciprocal zenith distances, simultaneous or not, under the assumption that the mean of a number of observations taken under favorable conditions will eliminate the differences of refraction found to exist even at the same moment at two stations a few miles apart.

Page 19 - Solid content = area of each end, added to four times the middle area, and the sum multiplied by the length...

Page 180 - ... under any meridian other than that of the nautical almanac used will be found by allowing the proportion of this quantity due to the difference of longitude of the two places. If the mean solar day be taken equal to 24 mean solar hours, the sidereal day will be equal to 23...

Page 6 - Solid. — 1 cubic foot = 1728 cubic inches. 1 cubic yard = 27 cubic feet = 46656 cubic Inches. 1 reduced foot (board-measure) = 1 square foot X 1 inch thick = 144 cubic inches. 1 perch of masonry = 1 perch (16J feet) long X 1 foot high X 1} foot thick = 24.

Page 88 - 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 281 - T and r', and by the errors of the personal equations yet to be applied. Moreover, a greater number of determinations should be compared, in order to arrive at a just evaluation of the mean error. 228. Velocity of the galvanic current. — Recurring to the equations of p. 343, we find, by taking the difference...