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THE

PREFACE.

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LT HO' there is little need of saying any thing þy way of: Preface to the following Trea

tise ; yet Custom having made it almost as necessary as an Entrance to an House ; I shall so far comply with Custom as to say, That the following Dire&tions for Surveying, &c. were put into my Hands in M. S. to be Enlarged, Corrected and Improved, in such a Manner as to make them of General Use and Eaj Pra&tice, according to the Modern; Best, and most Improved Methods in: that Excellent and Useful Science.

How far and how well that Design and Purpose bath_been pursued in the following Pages, I must leave to the In

genuous Reader to judge, after I bave just told him that He will meet meet A 2

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with several very useful Definitions, Axioms, Problems and Theorems, wholly new, or at least newly apply'd. Here will be found also several new Problems added, relating to the Art of Dividing Land; As also a New Method of Surveying large Tra&ts of Land, by Sounds as well as Sight, by Vertue of distant Explosions, first Invented and Published by those two great Genius's and Improvers of Natural Philosophy,the Learned Mr Whiston and Mr Ditton.

I shall only add, That to make this Treatise of as General Use as may be, the Reader will meet with an useful Colle&tion of all transparent Colours proper for the Beautifying Maps, Charts, &c.", which perbaps may be thought entertaining to the Curious. But if I bave made the whole Easy, Natural and InAtructive, I have gained my End, and the Satisfaction I aim at.

Edward Laurence.

The Explication of the Signs and

Characters used in the Treatiser

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Equality, or eqnal to.
Majority, or greater than.
Minority, or lesser than,
More, or to be added.
Less, or to be subftra&ted.

Less,
ñ Angle used in Trigonometry.

Therefore.
Proportion.
Angle ufed in the Theorems,

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. . r. each side whereof. p. 16. 1. 17, for are, r. is, D. 19.1. 13, r. Angles. p. 20. 1. 23, r. falling. p. 21. 1. 1, r. per. 3d Def. p. 22. l. 11, r. 17th Def. p. 25. 1. 22, r. 13th Def. p. 28. 1. 23, 8.1, th Def. p. 29.

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2 Posi. I. 29, dele and. P. 52. 1. 12, for 61°, 82', r. 61°, 32. p. 52. 6. 25, for 61', 82', r. 61°, 32'. p. 54.). 12,

71,25'. p. 57. 1. 17, r. Marks. p. 60. l. 26, r. be. twixt the Quarter. p. 63.1. 24, r. mentioned. p.71.1.18, r. Ic is. p. 72. l. 19, for B r. 8. p. 88. 1. 26, for 29, r. 24. p. 89.10.9. and 11, for 6, r.4. P. 969 l. 2, pur the Word Leductions over che two Right-hand Columns po. 99. l. 15, r. 198 instead of 19. p. 103.1. 17, and 18, for: Rod, r. Rood. p. 104. l. 19, for Roors. r. Roods p. 108. 1. 26, tor Circumferencer. Circumferentor. p. 113. 1. 11, r. placing. P. 127. 1 14,1. Fig. 99. p. 166. I. 9, or Arc, r. Arc of a Circle. p. 167. 1. 18, r. Circumferentor. P. 169. I. 15, for $1.24. p. 185. 1. 12,

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