A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 8
... quantity greater than the side opposite to the divided angle . THEOREM XV . Ir two regular figures , circumscribed ... quantities from equal quantities , we shall have ( n + 1 ) AD ( n + 1 ) BD < ( n + 1 ) AD or ( n + 1 ) AB < n AD ...
... quantity greater than the side opposite to the divided angle . THEOREM XV . Ir two regular figures , circumscribed ... quantities from equal quantities , we shall have ( n + 1 ) AD ( n + 1 ) BD < ( n + 1 ) AD or ( n + 1 ) AB < n AD ...
Page 17
... quantities ( sines , tangents , & c . ) being first defined , some general relation of these quantities , or of them in connection with a triangle , is expressed by one or more algebraical equations ; and then every other theorem or ...
... quantities ( sines , tangents , & c . ) being first defined , some general relation of these quantities , or of them in connection with a triangle , is expressed by one or more algebraical equations ; and then every other theorem or ...
Page 24
... quantity , we have a quadratic equation , which solved after the usual manner , gives sin . A = ± √R2 ± } R √R2 — sin.2 2A ' . If we make 2A = A ' , then will A = becomes A ' ; and consequently the last equation * Here we have omitted ...
... quantity , we have a quadratic equation , which solved after the usual manner , gives sin . A = ± √R2 ± } R √R2 — sin.2 2A ' . If we make 2A = A ' , then will A = becomes A ' ; and consequently the last equation * Here we have omitted ...
Page 36
... quantities which compose sin . x and cos . x to the base e , we have m x 1 and — m x 1 the component quantities to the new base : which , like the former , are also imaginary . We hence infer that all the forms under which the sines and ...
... quantities which compose sin . x and cos . x to the base e , we have m x 1 and — m x 1 the component quantities to the new base : which , like the former , are also imaginary . We hence infer that all the forms under which the sines and ...
Page 56
... quantity under the radical is reducible to factors , thus ; — { sin . a sin . ccos . b 1 cos , a cos . = c } { sin . a sin . o - cos . bcos . a cos . c { cos.b — cos . ( a + c ) } { — cos . b + cos . ( a — c ) } = 2 sin . sin . a = b + ...
... quantity under the radical is reducible to factors , thus ; — { sin . a sin . ccos . b 1 cos , a cos . = c } { sin . a sin . o - cos . bcos . a cos . c { cos.b — cos . ( a + c ) } { — cos . b + cos . ( a — c ) } = 2 sin . sin . a = b + ...
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 |
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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