A Course of Mathematics, Volume 2Longman Rees, 1837 - Mathematics |
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Page 7
... distance between two given points . The second part follows at once from this proposition : for EA + AH being to the arch EIH , as the quadrangle AEOH to the circular sector HIEO ; and the quadrangle being greater than the sector ...
... distance between two given points . The second part follows at once from this proposition : for EA + AH being to the arch EIH , as the quadrangle AEOH to the circular sector HIEO ; and the quadrangle being greater than the sector ...
Page 13
... distance from the centre of the sphere to the vertex of the least circumscribing cone , is triple the radius of the sphere . Cor . 2. Hence also , the side of such cone is triple the radius of its base . THEOREM XXXII . THE whole ...
... distance from the centre of the sphere to the vertex of the least circumscribing cone , is triple the radius of the sphere . Cor . 2. Hence also , the side of such cone is triple the radius of its base . THEOREM XXXII . THE whole ...
Page 16
... 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 TRIGONOMETRY CONSIDERED ANALYTICALLY . ART . 1. There 16 ELEMENTS OF ISOPERIMETRY .
... 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 TRIGONOMETRY CONSIDERED ANALYTICALLY . ART . 1. There 16 ELEMENTS OF ISOPERIMETRY .
Page 39
... distance of their centres is equal to the square root of R2 2Rr and that if the four circles be described , which touch the sides of the triangle internally and externally , the sum of the squares of the distances of these four centres ...
... distance of their centres is equal to the square root of R2 2Rr and that if the four circles be described , which touch the sides of the triangle internally and externally , the sum of the squares of the distances of these four centres ...
Page 48
... distance I knew by a previous survey to be 6954 yards , to save the trouble of measuring the distance between two other objects , A and B , on account of the irregularity of the intervening ground , I took the angles subtended at its ...
... distance I knew by a previous survey to be 6954 yards , to save the trouble of measuring the distance between two other objects , A and B , on account of the irregularity of the intervening ground , I took the angles subtended at its ...
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