A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
From inside the book
Results 1-5 of 68
Page 6
... rectangle of the radius of the circle and half the corresponding side AB , BC , & c .; and consequently , the area of the polygon ABCD , circumscribing the circle , will be equal to the rectangle of the radius of the circle and half the ...
... rectangle of the radius of the circle and half the corresponding side AB , BC , & c .; and consequently , the area of the polygon ABCD , circumscribing the circle , will be equal to the rectangle of the radius of the circle and half the ...
Page 10
... rectangle under AE ( = AC + CE ) and ED ( = AC CE ) , be less than AC2 , or than AC . CD , by the square of CE ( theor . 33 , Geom . ) Conse- quently , the solid AE . ED . DB , will be less than the solid AC . CD . DB ; which is ...
... rectangle under AE ( = AC + CE ) and ED ( = AC CE ) , be less than AC2 , or than AC . CD , by the square of CE ( theor . 33 , Geom . ) Conse- quently , the solid AE . ED . DB , will be less than the solid AC . CD . DB ; which is ...
Page 25
... rectangle of the sum and difference of the sines ; it follows , that the first of these equations converted into an analogy , becomes sin . ( A B ) sin . A sin . B ;; sin . A + sin B ; sin . ( A + B ) That is to say , the sine of the ...
... rectangle of the sum and difference of the sines ; it follows , that the first of these equations converted into an analogy , becomes sin . ( A B ) sin . A sin . B ;; sin . A + sin B ; sin . ( A + B ) That is to say , the sine of the ...
Page 35
... rectangle of the sines of two arcs , is equal to the difference of the squares of the chords of the sum and difference of those arcs * . Ex . 20. Convert the equations marked xxxiv into their equivalent logarithmic expressions ; and by ...
... rectangle of the sines of two arcs , is equal to the difference of the squares of the chords of the sum and difference of those arcs * . Ex . 20. Convert the equations marked xxxiv into their equivalent logarithmic expressions ; and by ...
Page 39
... rectangle of the radii of the circles described in and about it . are collectively represented by ± C√√1 : then B / I would be of the form ( D ± C√√ − 1 ) √ − 1 = D√ −1 C , and hence the terms had not been collected as in the ...
... rectangle of the radii of the circles described in and about it . are collectively represented by ± C√√1 : then B / I would be of the form ( D ± C√√ − 1 ) √ − 1 = D√ −1 C , and hence the terms had not been collected as in 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