A treatise on mensuration, both in theory and practice. The second edition, with many additionsG. G. J.&J. Robinson, 1788 - 16 pages |
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Page vii
... hyperbola ; but it is not to be imagined that he met with any fuccefs , fince approximations to its area are all that can be given by the vari- ous methods that have fince been invented . Befides thefe figures , he hath left us a ...
... hyperbola ; but it is not to be imagined that he met with any fuccefs , fince approximations to its area are all that can be given by the vari- ous methods that have fince been invented . Befides thefe figures , he hath left us a ...
Page xi
... equality of a triangle and hyperbola of the fame bafe , and of an infinite length , it being there necessary to call in the affiftance of the method of increments . As As extenfions are of three kinds , longitudinal , fuperficial PRE FAC E.
... equality of a triangle and hyperbola of the fame bafe , and of an infinite length , it being there necessary to call in the affiftance of the method of increments . As As extenfions are of three kinds , longitudinal , fuperficial PRE FAC E.
Page 230
... hyperbola , whofe tranfverfe axe is cN . But in the hyperbola , as well as in the other conic fections , the tranfverse axe , CP being drawn paral- G V E GC X CD CN PD A B P D lel to v A , or = and the 9 Ꭰ - - BD dx CD conjugate of ...
... hyperbola , whofe tranfverfe axe is cN . But in the hyperbola , as well as in the other conic fections , the tranfverse axe , CP being drawn paral- G V E GC X CD CN PD A B P D lel to v A , or = and the 9 Ꭰ - - BD dx CD conjugate of ...
Page 233
... . Note 2. If the section ECF be an hyperbola , the hoofs may then be found after the manner defcribed in the fixth corollary to prob . 27 . BRO- PROBLEM XXIX . To find the Convex Surface of the Sect . 1. ] 233 CONIC UNGULA S.
... . Note 2. If the section ECF be an hyperbola , the hoofs may then be found after the manner defcribed in the fixth corollary to prob . 27 . BRO- PROBLEM XXIX . To find the Convex Surface of the Sect . 1. ] 233 CONIC UNGULA S.
Page 240
... hyperbola , its area being found , and substi- tuted for в in the general rules , will give the surfaces of the hyperbolic ungulas . Corol . 7. If the hyperbolic fection be perpendicular to the base , DI will vanish , and the general ...
... hyperbola , its area being found , and substi- tuted for в in the general rules , will give the surfaces of the hyperbolic ungulas . Corol . 7. If the hyperbolic fection be perpendicular to the base , DI will vanish , and the general ...
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Common terms and phrases
abfcifs againſt alfo altitude angle area fine area bafe baſe becauſe breadth bung cafe cafk chains circle whofe circumference cofine cone confequently conjugate Corol corollary curve defcribe diagonal dimenfions diſtance divided divifion draw ellipfe equal expreffed expreffion faid fame example fecond fection feet fegment feries fhall fides figure fimilar fince find the Area firft firſt fluxion folid fome fphere fpheroid fpindle fquare fruftum ftands ftation fubtract fuch fuppofing furface gallons given greateſt half hence hoof hyperbola inches inftrument inſtead interfecting laft laſt problem lefs length meaſure multiply muſt nearly oppofite ordinate parabola paraboloid parallel perpendicular plane prob quotient radius rule SCHOLIUM ſhall Sliding Rule tangent thefe theſe thofe thoſe tranfverfe trapezium triangle uſed Verf whofe whofe height whole whoſe ΙΟ