A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 13
... difference of two right lines being given , the third proportional to the less and the greater of them is a minimum when the greater of those lines is double the other . Let AV and BV be two right lines , whose difference AB is given ...
... difference of two right lines being given , the third proportional to the less and the greater of them is a minimum when the greater of those lines is double the other . Let AV and BV be two right lines , whose difference AB is given ...
Page 16
... difference between the area of a triangle whose sides are 3 , 4 , and 5 , and of an equilateral triangle of equal perimeter . Ex . 3. What is the area of the greatest triangle which can be constituted with two given sides 8 and 11 : and ...
... difference between the area of a triangle whose sides are 3 , 4 , and 5 , and of an equilateral triangle of equal perimeter . Ex . 3. What is the area of the greatest triangle which can be constituted with two given sides 8 and 11 : and ...
Page 23
... differences , multiples , & c . of arcs ; and in order that these expres- sions may have the more generality , give to the radius any value R , instead of confining it to unity . This indeed may always be done in an expression , how ...
... differences , multiples , & c . of arcs ; and in order that these expres- sions may have the more generality , give to the radius any value R , instead of confining it to unity . This indeed may always be done in an expression , how ...
Page 25
... 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 difference of any two arcs ...
... 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 difference of any two arcs ...
Page 26
... difference , as the tangent of half the sum of those arcs or angles , is to the tangent of half their difference . 26. Operating with the third and fourth formulæ of the preceding article , as we have already done with the first and ...
... difference , as the tangent of half the sum of those arcs or angles , is to the tangent of half their difference . 26. Operating with the third and fourth formulæ of the preceding article , as we have already done with the first and ...
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