A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 2
... altitude , or of all equal triangles of the same base , the isosceles triangle has the smallest perimeter . = == For , the locus of the vertices of all triangles of the same altitude will be a right line LM parallel to the base ; and ...
... altitude , or of all equal triangles of the same base , the isosceles triangle has the smallest perimeter . = == For , the locus of the vertices of all triangles of the same altitude will be a right line LM parallel to the base ; and ...
Page 3
... altitude ) greater than the surface ( or than the altitude ) of the triangle ABD . Draw C'D through D , parallel to AB , to cut CE ( drawn perpendicular to AB ) in C ' : then it is to be demonstrated that CE is greater than C ́E . E D ...
... altitude ) greater than the surface ( or than the altitude ) of the triangle ABD . Draw C'D through D , parallel to AB , to cut CE ( drawn perpendicular to AB ) in C ' : then it is to be demonstrated that CE is greater than C ́E . E D ...
Page 9
... altitude , whose base is 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 ...
... altitude , whose base is 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 ...
Page 10
... altitude , and with irregular bases equal in surface , that whose base has the greatest number of sides has the smallest surface ; and , in particular , the right cylinder has a smaller surface than any prism of the same altitude and ...
... altitude , and with irregular bases equal in surface , that whose base has the greatest number of sides has the smallest surface ; and , in particular , the right cylinder has a smaller surface than any prism of the same altitude and ...
Page 11
... 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 surface . Let C ...
... 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 surface . Let C ...
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