A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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... Spherical Trigonometry , in seven sec- Hydrostatics 356 tions 49 Specific Gravity .. 361 Principles of Polygonometry 87 Buoyancy of Pontoons 365 The Conic Sections 97 Hydrodynamics . ib . The Ellipse , in two sections 101 Pneumatics ...
... Spherical Trigonometry , in seven sec- Hydrostatics 356 tions 49 Specific Gravity .. 361 Principles of Polygonometry 87 Buoyancy of Pontoons 365 The Conic Sections 97 Hydrodynamics . ib . The Ellipse , in two sections 101 Pneumatics ...
Page 6
... spheres , were given by Emerson in his Geometry , and their use in the theory of Isoperi- meters was just suggested : but the full application of them to that theory is due to Simon Lhuillier . Cor . 1. Any one of the triangular ...
... spheres , were given by Emerson in his Geometry , and their use in the theory of Isoperi- meters was just suggested : but the full application of them to that theory is due to Simon Lhuillier . Cor . 1. Any one of the triangular ...
Page 11
... sphere , or whose altitude is equal to the diameter of its base . THEOREM XXVII . The Archimedean cylinder has a smaller surface than any other right cylinder of equal capacity ; and it is greater than any other right cylinder of equal ...
... sphere , or whose altitude is equal to the diameter of its base . THEOREM XXVII . The Archimedean cylinder has a smaller surface than any other right cylinder of equal capacity ; and it is greater than any other right cylinder of equal ...
Page 12
... sphere , and whose bases are equal to the total surfaces of the cones : therefore the surfaces and solidities are proportional . THEOREM XXX . THE surface or the solidity of a right cone circumscribed about a sphere is directly as the ...
... sphere , and whose bases are equal to the total surfaces of the cones : therefore the surfaces and solidities are proportional . THEOREM XXX . THE surface or the solidity of a right cone circumscribed about a sphere is directly as the ...
Page 13
... sphere , the smallest is that whose altitude is double the diameter of the sphere . VA2 VB For , by theor . 30 , the solidity varies as ( see the fig . to that theorem ) : and , by lemma 2 , since VA - VB is given , the third ...
... sphere , the smallest is that whose altitude is double the diameter of the sphere . VA2 VB For , by theor . 30 , the solidity varies as ( see the fig . to that theorem ) : and , by lemma 2 , since VA - VB is given , the third ...
Other editions - View all
A Course of Mathematics: For the Use of Academies ... as Well as Private Tuition Charles Hutton No preview available - 2015 |
A Course of Mathematics: For the Use of Academies ... As Well As Private Tuition Charles Hutton No preview available - 2022 |
A Course of Mathematics: For the Use of Academies, as Well as Private Tuition Charles Hutton No preview available - 2015 |
Common terms and phrases
abscisses altitude asymptotes Ax² axis ball base becomes bisected body Ca² centre of gravity chord circle circumscribed co-ordinates coefficients cone conic section conjugate conjugate hyperbolas consequently Corol cosec cosine curve denoted determine diameter difference differential direction distance divided draw drawn ellipse equal equation equilibrium expression feet figure find the fluent fluid fluxion force function Geom given Hence horizontal hyperbola inches intersection length logarithm motion ordinate parabola parallel parallelogram pendulum perpendicular plane polygon pressure produced PROP proportional quantity radius ratio rectangle respectively right angles SCHOLIUM sides similar triangles sine solid angles specific gravity sphere spherical triangle square Suppose surface tangent theor theorem transverse trigonometrical variable velocity vertex vertical weight whence