A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page 21
... difference , fo is the tangent of half the fum of their oppofite angles to the tangent of half their difference . Then the half fum augmented and diminished by the half difference of the angles , gives the greater and lefs angle ...
... difference , fo is the tangent of half the fum of their oppofite angles to the tangent of half their difference . Then the half fum augmented and diminished by the half difference of the angles , gives the greater and lefs angle ...
Page 22
... difference of the arcs ; as alfo that NM = CL , for BN = NC , and BM = ML : then , in the fimilar As CQL , RNM , RGK ... difference , may be proved thus : Let CN reprefent the lefs and NL the greater of any two quantities , and let B be ...
... difference of the arcs ; as alfo that NM = CL , for BN = NC , and BM = ML : then , in the fimilar As CQL , RNM , RGK ... difference , may be proved thus : Let CN reprefent the lefs and NL the greater of any two quantities , and let B be ...
Page 24
... fum of two quantities increased and diminished by their half difference , gives the greater and lefs quantities respec tively , was proved in the laft problem .. or bafe , dividing it into two fegments , and 24 Part I. PLANE TRIGONOMETRY .
... fum of two quantities increased and diminished by their half difference , gives the greater and lefs quantities respec tively , was proved in the laft problem .. or bafe , dividing it into two fegments , and 24 Part I. PLANE TRIGONOMETRY .
Page 25
... difference of thofe fides : To the difference of the fegments of the base . Then half the difference being added to and fub- tracted from half their fum , will give the greater and lefs fegment . Hence , in each of the right - angled ...
... difference of thofe fides : To the difference of the fegments of the base . Then half the difference being added to and fub- tracted from half their fum , will give the greater and lefs fegment . Hence , in each of the right - angled ...
Page 26
... difference of the fegments of the bafe . In the fecond proportion . - Extend from 174'07 to 138.41 , on the numbers , that will reach , on the fines , from 90 ° to 52 ° 40 ' . In In the third proportion . - Extend from 232 to 26 Part I ...
... difference of the fegments of the bafe . In the fecond proportion . - Extend from 174'07 to 138.41 , on the numbers , that will reach , on the fines , from 90 ° to 52 ° 40 ' . In In the third proportion . - Extend from 232 to 26 Part I ...
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Common terms and phrases
abfciffa againſt alfo Alnwick alſo altitude angle area Verf bafe baſe becauſe breadth bung cafe cafk circle whofe circumference cofine cone confequently conftruction conjugate COROLLARY defcribe difference dimenfions diſtance ditto divided divifion ellipfe equal expreffed expreffion faid fame example fecond fection feet fegment feries fhall fide figure fimilar fince find the area firſt fixed axe fluxion folid fome fpheroid fpindle fquare fruftum fubtract fuch fuppofing furface gallons girt greateſt half head diameter hence hoof hyperbola inches interfecting laft laſt laſt problem lefs length meaſure method middle moſt multiply muſt Newcaſtle oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule Schoolmafter ſhall Sliding Rule ſphere ſquare ſtation tangent theſe thickneſs thofe thoſe tranfverfe trapezium triangle uſed vertex Wherefore whofe whofe height whole whoſe zone ΙΟ