Cyclomathesis: Or, An Easy Introduction to the Several Branches of the Mathematics]., Τόμος 10

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Σελίδα 47 - ... being entirely dependent on them, and therefore they should be taken of as great length as possible ; and it is best for them to run along some of the hedges or boundaries of one or more fields, or to pass through some of their angles. All things being determined for these stations, you must take more inner stations, and continue to divide and subdivide, till at last you come to single fields ; repeating the same work for the inner stations as for the outer ones, till the whole is finished.
Σελίδα 13 - January 31, February 28, March 31, April 30, May 31, June 30, July 31, August 31, September 30, October 31, November 30, December 31.
Σελίδα 1 - Quantities is the taking of a given number of quantities out of as many equal rows of different quantities, one out of every row, and combining them together. — Here no regard is had to their places ; and it differs from Combination only as that admits...
Σελίδα 1 - Quantities is the shewing how often a less number of things can be taken out of a greater, and combined together, without considering their places, or the order they stand in. This is sometimes called...
Σελίδα 46 - Take such angles, between the stations, as you think necessary, and measure the distances from station to station, always in a right line : these things must be done, till you get as many angles and lines as are sufficient for determining all the points of station.
Σελίδα 45 - ... it. For in these cases, any small errors will be so multiplied, as to render it very much distorted. 1. Walk over the estate two or three times, in order to get a perfect idea of it, and till you can carry the map of it tolerably well in your head.
Σελίδα 46 - ... mark accurately where these lines meet with any hedges, ditches, roads, lanes, paths, rivulets, &c ; and where any remarkable object is placed, by measuring its distance from the station-line ; and where a perpendicular From it cuts that line. And thus as you go along any main...
Σελίδα 3 - ... be the answer required. In order to demonstrate the rule, it will be necessary to premise the following LEMMA. The number of changes of m things, taken n at a time, is equal to m changes of m— 1 things, taken n—\ at a time.
Σελίδα 48 - ... in a rough draught, they will be exact enough, being only to look at ; except it be...
Σελίδα 53 - ... the places of as many of the remaining towns as you can. And if any remain in that part, you muft take more ftations, at fome places already determined; from which you may determine the reft. And thus we muft go...

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