Cyclomathesis: Or, An Easy Introduction to the Several Branches of the Mathematics]., Volume 101770 - Mathematics |
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Cyclomathesis: Or, an Easy Introduction to the Several Branches of ..., Volume 4 William Emerson No preview available - 2015 |
Common terms and phrases
ABCD acres againſt ale gall alfo alſo bafe baſe becauſe cafes chains Chrift circle circumference cofines compaffes cycle diagonal diameter diſtance divide dominical letter draw the line Eafter Emperor epact equal Examp fame fcale fecond feen feet fegment feveral fhew fhillings fide field fights find the area find the content firft firſt fixt folid fome fquare fruftum ftationary line ftations fubtract fuch fuppofe fured furface furvey gallons given golden number hedge height inches inftrument interfect Julian Julian period king king of England laft laſt leffer length letter mark meaſure Medes moon muft multiply muſt obferve offsets oppofite Otherwife parallel pence perpendicular PROB Prop quantity reckon RULE ſcale SCHOLIUM ſet ſquare take the angle thefe theſe things thro trapezium triangle uſe whofe
Popular passages
Page 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.
Page 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.
Page 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...
Page 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...
Page 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.
Page 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.
Page 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...
Page 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.
Page 48 - ... in a rough draught, they will be exact enough, being only to look at ; except it be...
Page 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...