A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 3
... vertical angles , the isosceles one is the greatest . THEOREM III . Of all right lines that can be drawn through a given point , between two right lines given in position , that which is bisected by the given point forms with the other ...
... vertical angles , the isosceles one is the greatest . THEOREM III . Of all right lines that can be drawn through a given point , between two right lines given in position , that which is bisected by the given point forms with the other ...
Page 16
... vertical angle of the right cone circumscribing the former sphere , and the distance of its vertex from the centre of the sphere , also the ratio of its curve surface to the curve surface of the Archimedean cylinder . 17 PLANE ...
... vertical angle of the right cone circumscribing the former sphere , and the distance of its vertex from the centre of the sphere , also the ratio of its curve surface to the curve surface of the Archimedean cylinder . 17 PLANE ...
Page 39
... vertical angle = p , to find the sides and angles of the triangle , and 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 ) ...
... vertical angle = p , to find the sides and angles of the triangle , and 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 ) ...
Page 69
... vertical angles of all the triangles . Then , by theor . 5 , it will be as 360 ° : S :: A + B + C · 180 ° its area . Therefore , putting P for the sum of all the angles of the polygon , n for their number , and V for the sum of all the ...
... vertical angles of all the triangles . Then , by theor . 5 , it will be as 360 ° : S :: A + B + C · 180 ° its area . Therefore , putting P for the sum of all the angles of the polygon , n for their number , and V for the sum of all the ...
Page 77
... vertical angle in one , and A the angle of inclination of each two of its plane faces ; if n be the number of planes meeting about the vertex of the other , and a the angle of inclination of each two of its faces : then will the vertical ...
... vertical angle in one , and A the angle of inclination of each two of its plane faces ; if n be the number of planes meeting about the vertex of the other , and a the angle of inclination of each two of its faces : then will the vertical ...
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