A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
From inside the book
Results 1-5 of 72
Page 3
... 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 The ...
... 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 The ...
Page 4
... greater than PAG , according as CG is greater or less than CA. In the former case , let PACD , which is common , be added to both ; then will BAC be less than DGC ( ax . 4 , Geom . ) In the latter case , if PGCB be added , DCG will be ...
... greater than PAG , according as CG is greater or less than CA. In the former case , let PACD , which is common , be added to both ; then will BAC be less than DGC ( ax . 4 , Geom . ) In the latter case , if PGCB be added , DCG will be ...
Page 5
... greater than the figure apbcdefg : and if from these there be taken away the respective triangles APB , apb , which are equal by construction , there will remain ( ax . 5 , Geom . ) the polygon ABCDEFG greater than the polygon abcdefg ...
... greater than the figure apbcdefg : and if from these there be taken away the respective triangles APB , apb , which are equal by construction , there will remain ( ax . 5 , Geom . ) the polygon ABCDEFG greater than the polygon abcdefg ...
Page 7
... greater than the sector , because it contains it ; it follows that EA + AH is greater than the arch EIH * . Cor . 3. Hence also , any single tangent EA , is greater than its corresponding arc EI . THEOREM XII . If a circle and a polygon ...
... greater than the sector , because it contains it ; it follows that EA + AH is greater than the arch EIH * . Cor . 3. Hence also , any single tangent EA , is greater than its corresponding arc EI . THEOREM XII . If a circle and a polygon ...
Page 8
... greater as they are more remote from the right angle . Let the acute angle C , of the right - angled triangle ACF , be divided into equal parts , by the lines BC , CD , CE , drawn from that angle to the opposite side ; then shall the ...
... greater as they are more remote from the right angle . Let the acute angle C , of the right - angled triangle ACF , be divided into equal parts , by the lines BC , CD , CE , drawn from that angle to the opposite side ; then shall the ...
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