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 xvi
... Sections , and their Solids Of the Ellipfe , and Figures generated by it Parabolic Lines , Areas , Surfaces and Solidities Hyperbolic Lines , Areas , Surfaces , and Solidities Practical Questions concerning Solids The true Quadrature ...
... Sections , and their Solids Of the Ellipfe , and Figures generated by it Parabolic Lines , Areas , Surfaces and Solidities Hyperbolic Lines , Areas , Surfaces , and Solidities Practical Questions concerning Solids The true Quadrature ...
Page 1
... SECTION Ì . GEOMETRICAL DEFINITIONS AND PROBLEMS . A POINT has no parts nor dimensions , neither length , breadth , nor thickness . 2. A line is length , without breadth or thickness . 3. A face , or fuperficies , is an extenfion , or a ...
... SECTION Ì . GEOMETRICAL DEFINITIONS AND PROBLEMS . A POINT has no parts nor dimensions , neither length , breadth , nor thickness . 2. A line is length , without breadth or thickness . 3. A face , or fuperficies , is an extenfion , or a ...
Page 90
... SECTION I. OF THE AREAS OF RIGHT - LINED AND CIRCULAR THE FIGURES . HE meafure of a plane figure is called its area . By the menfuration of plane figures is deter- mined the extenfion of bodies as to length and breadth ; fuch as the ...
... SECTION I. OF THE AREAS OF RIGHT - LINED AND CIRCULAR THE FIGURES . HE meafure of a plane figure is called its area . By the menfuration of plane figures is deter- mined the extenfion of bodies as to length and breadth ; fuch as the ...
Page 174
... SECTION I. OF PRISMS , PYRAMIDS , AND THE SPHERE , WITH THE PARTS INTO WHICH SOME OF THEM MAY 1 . A BE CUT BY PLANES . Prifm is a folid , or body , whofe ends are any plane figures , which are equal and fimilar ; and its fides are ...
... SECTION I. OF PRISMS , PYRAMIDS , AND THE SPHERE , WITH THE PARTS INTO WHICH SOME OF THEM MAY 1 . A BE CUT BY PLANES . Prifm is a folid , or body , whofe ends are any plane figures , which are equal and fimilar ; and its fides are ...
Page 184
... section ab , parallel to the bafe , in p ; and put A for the area of the bafe AB , a for that of the fection ab , b the height PV of the pyramid , and a the height pp of the fruftum Aabв . Firft , the parallel fections AB , ab , are to ...
... section ab , parallel to the bafe , in p ; and put A for the area of the bafe AB , a for that of the fection ab , b the height PV of the pyramid , and a the height pp of the fruftum Aabв . Firft , the parallel fections AB , ab , are to ...
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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