The Young Surveyor's Guide: Or, A New Introduction to the Whole Art of Surveying Land: Both by the Chain and All Instruments Now in Use. Now First Published from an Original M.s. to which is Added, All the Useful Geometrical Definitions, Axioms, Problems and Theorems, which Relate to this Art ... There is Also Added, by Way of Appendix, a New Way of Surveying Large Tracts of Land ... The Manner of Making Up and Preparing Transparent Colours for Beautifying Maps ... &c. The Tables of Artificial Numbers, Sines and Tangents ...

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J. Knapton, 1717 - Logarithms - 375 pages
 

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Page 117 - Multiply the given decimal by the number of parts in the next less denomination, and point off as many decimal places as there are in the given decimal.
Page 105 - In this place I fhall only give you fome few Directions for the Ufe of it in meafuring Lines. Take care that they who carry the Chain deviate not from a ftrait Line ; which you may do by ftanding at your Inftrument, and looking thro...
Page 81 - RULE. Multiply the length by the breadth, and the product by the depth or...
Page 31 - Diameter pafllng thro' the other End ; or it is half the Chord of twice the Arch ; fo BF is the Sine of the Arches BA, BD.
Page 30 - Degrees, each degree into 60 parts called Minutes, and each minute into 60 parts called Seconds.
Page 106 - Jnjlnunents for the taking of an Angle in the Field. There are but two material Things (towards the meafuring of a Piece of Land) to be done in the Field ; the one is to meafure the Lines (which I have fhewed you how to do by the Chain), and the other to take the Quantity of an Angle included by thefe Lines ; for which there are almoft as many Inftruments as there are Surveyors. Such...
Page 208 - ... the greatest ; the remainder will be the time of the star's coming to the meridian. If the remainder be greater than 12 hours, the star will come to the meridian after midnight ; but if less than 12 hours, before midnight.
Page 69 - Rule. Multiply the Length by the Breadth, and the Product is the Area.
Page 39 - To THEIR DIFFERENCE J SO IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES ; To THE TANGENT OF HALF THEIR DIFFERENCE. Thus the sum of AB and AC (Fig. 25) is to their difference ; as the tangent of half the sum of the angles ACB and ABC. to the tangent of half their difference. Demonstration. Extend CA to G, making AG equal to AB ; then CG is the sum of...
Page 68 - Number (as half a Crown by half a Crown) which is contrary to the Nature of Multiplication, whofe Operations are only compendious Additions, either of the Multiplicands, or fome Part of it continually to its felf or its Part.

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