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Geodaesia improved; or, a new and correct method of surveying made exceeding easy in two parts : part I. Teacheth to measure, divide, and delineate, any quantity of land both accessible and inaccessible, whether meadows, pasture, fields, woods, water, commons, forests, manors, &c. by the chain only, whose dimensions are cast up by the pen, and consequently freed from the errors of estimation that unavoidably attend the scale and protractor. With necessary directions to map elegantly : part II. Introduces instruments, trigonometry, preparative remarks on the earth's superficies; and teacheth the invaluable method of casting up the dimensions of instruments by the pen several ways, all agreeing, &c. &c. : with a most useful appendix concerning the practical methods of measuring timber, hay'marl pits, bricklayers and plasterers work... / A. Burn
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GEODÆSIA Improved. 265

This Problem concludes plane Trigonometry, which Branchbeing well understood, will greatly enable the young Learner towork a Number of curious Questions relating to this andseveral other Branches of the Mathematics; some of whichwould undoubtedly prove entertaining here if the Size of thisTreatise would admit thereof: But, perhaps, some that lookupon the first Part of this Treatise to be sufficiently comprehen-sive in the Art of surveying, may be at a Loss to know whereinTrigonometry is, or can be useful in this Place; to thole Ianswer, When Instruments are used. Altitudes, Drpreffions,Bearings, and Distances may be obtained theieby: Also thoseTables towards the End of this Book were calculated by Trigo-nometry, wherein the Bearing (or Angle at the Perpendicular)and Hypothenufe being given, to find the Base and Perpendicular ;for in all right-angled plane Triangles, the Hypothenufe represents thestationary Line-, the Base (with Respect to Surveying) is the De-parture ; the Perpendicular is the Difference of Latitude ; the Angleat the Perpendicular represents the Bearing er Angle made by the sta-tionary Line and Meridian j and the Angle at the Base is the Bear-ing Complement .

Note, Whatever herein relates to Surveying, is more fully ex-plained in Chapter the third, to which I refer my Reader.

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