A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 2
... given , by Dr. Horsley , in the Philos . Trans . vol . lxxv . for 1775 ; contained also in the New Abridgment , vol . xiii . page 653 * . The chief propositions deduced by these four geometers , together with a few additional ...
... given , by Dr. Horsley , in the Philos . Trans . vol . lxxv . for 1775 ; contained also in the New Abridgment , vol . xiii . page 653 * . The chief propositions deduced by these four geometers , together with a few additional ...
Page 3
... given , that which is the greatest has all its sides equal . And in particular , of all isoperi- metrical triangles ... given point , between two right lines given in position , that which is bisected by the given point forms with the ...
... given , that which is the greatest has all its sides equal . And in particular , of all isoperi- metrical triangles ... given point , between two right lines given in position , that which is bisected by the given point forms with the ...
Page 4
... given in magnitude , the greatest is that in which the two given sides are perpendicular to each other . For , assuming for base one of the given sides , the surface is proportional to the perpendicular let fall upon that side from the ...
... given in magnitude , the greatest is that in which the two given sides are perpendicular to each other . For , assuming for base one of the given sides , the surface is proportional to the perpendicular let fall upon that side from the ...
Page 6
... given conditions has all its sides equal ( theor . 2 , cor . ) But since the sum of the sides and the number of them are given , each of them is given therefore ( theor . 6 ) , the figure is inscribable in a circle : and consequently ...
... given conditions has all its sides equal ( theor . 2 , cor . ) But since the sum of the sides and the number of them are given , each of them is given therefore ( theor . 6 ) , the figure is inscribable in a circle : and consequently ...
Page 9
... given in magnitude and species , or figure , or shape , the right prism has the smallest surface . For , the area of each face of the prism is proportional to its height ; therefore the area of each face is the smallest when its height ...
... given in magnitude and species , or figure , or shape , the right prism has the smallest surface . For , the area of each face of the prism is proportional to its height ; therefore the area of each face is the smallest when its height ...
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