A Treatise on Mensuration: Both in Theory and PracticeSaint, 1770 - 646 pages |
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Page xvii
... hyperbola too in all probability he attempted , but it is not to be hoped that he met with any fuccefs , fince approximations to its area are all that can be given by all the methods that have fince been invented . Besides these figures ...
... hyperbola too in all probability he attempted , but it is not to be hoped that he met with any fuccefs , fince approximations to its area are all that can be given by all the methods that have fince been invented . Besides these figures ...
Page xxii
... hyperbola of the fame bafe and of an infinite length , I being there obliged to call in the affistance of the method of increments . As extenfions are of three kinds , longitudinal , fuperficial , and folid ; accordingly in this work ...
... hyperbola of the fame bafe and of an infinite length , I being there obliged to call in the affistance of the method of increments . As extenfions are of three kinds , longitudinal , fuperficial , and folid ; accordingly in this work ...
Page 175
... hyperbola , whofe tranfverfe axe is CN . But in the hyperbola , as well as in the other conic fections , the tranfverfe axe CN = ᎠᏢ GGXCD CP being drawn parallel toVA ) = D - d - BD ' A dx CD BD DP and the conjugate of each alfo = GCN ...
... hyperbola , whofe tranfverfe axe is CN . But in the hyperbola , as well as in the other conic fections , the tranfverfe axe CN = ᎠᏢ GGXCD CP being drawn parallel toVA ) = D - d - BD ' A dx CD BD DP and the conjugate of each alfo = GCN ...
Page 178
... . Note 2. If the fection ECF be an hyperbola , the hoofs may then be found after the manner described in the fixth corollary to prob . 13 . PRO- * To PROBLEM XV . And the convex furface of 178 Part III . CONIC UNGULAS.
... . Note 2. If the fection ECF be an hyperbola , the hoofs may then be found after the manner described in the fixth corollary to prob . 13 . PRO- * To PROBLEM XV . And the convex furface of 178 Part III . CONIC UNGULAS.
Page 213
... hyperbola ; the three last of which only are peculiarly called conic fections , because the two first , the triangle and circle , are fi- gures whofe properties are known prior to thofe of the cone . If the cutting plane pafs through ...
... hyperbola ; the three last of which only are peculiarly called conic fections , because the two first , the triangle and circle , are fi- gures whofe properties are known prior to thofe of the cone . If the cutting plane pafs through ...
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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