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.
LI 2
CHAP