Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - an Analysis of Each Branch, and of the Whole, as Forming a Single Science |
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Page 44
... surface expressed in terms of some given surface assumed as a unit or standard of com- parison . The unit of measure is generally a square , one of whose sides is a linear unit in length . For different purposes , the area may be ...
... surface expressed in terms of some given surface assumed as a unit or standard of com- parison . The unit of measure is generally a square , one of whose sides is a linear unit in length . For different purposes , the area may be ...
Page 45
... surface contained be- tween the two limits . The result will In this manner , the area of the surface of a sphere has been found equal to 4πr2 , in which r is the radius of the sphere . The area of the surface of a right cone , is equal ...
... surface contained be- tween the two limits . The result will In this manner , the area of the surface of a sphere has been found equal to 4πr2 , in which r is the radius of the sphere . The area of the surface of a right cone , is equal ...
Page 54
... surface of a cone which will be asymptotical with respect to the surface . If any plane be passed through the axis of revolution , the elements cut from the cone will be asymptotes to the hyperbolas cut from the hyperboloid . In fine ...
... surface of a cone which will be asymptotical with respect to the surface . If any plane be passed through the axis of revolution , the elements cut from the cone will be asymptotes to the hyperbolas cut from the hyperboloid . In fine ...
Page 61
... surface , Borden in the United States , but the mode of is the intersection of the surface by a plane . obtaining the compensation differed entirely We see that these surfaces may have an from that used by either of these gentlemen ...
... surface , Borden in the United States , but the mode of is the intersection of the surface by a plane . obtaining the compensation differed entirely We see that these surfaces may have an from that used by either of these gentlemen ...
Page 72
... surface , under the supposition , that the eye is at an infinite distance . values give a curve OG AK BN , & c . , formed of Optics , the reflected ray makes an angle of a system of branches uniting like the links with the normal to the ...
... surface , under the supposition , that the eye is at an infinite distance . values give a curve OG AK BN , & c . , formed of Optics , the reflected ray makes an angle of a system of branches uniting like the links with the normal to the ...
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Common terms and phrases
algebraic altitude application arithmetical axes base bisect calculus called centre chords circle circles of latitude co-ordinates cone conic sections conic surface conjugate constructed cube cubic equation curve cycloid decimal deduced degree denote diameter difference differential co-efficient directrix distance divided divisor draw drawn elements ellipse equa equal equation expression factors formula fraction function generatrix Geometry given greatest common divisor hence horizontal hyperbola infinite number intersection latitude length logarithm mathematical means measure meridian method multiplied nth root operation ordinate parabola parallel pass perpendicular plane polygon polynomial principal vertex principles projection quotient radius ratio regular polygon result rhumb line right angles roots rule scale sides sphere spherical square straight line subtract surface taken tangent term theodolite tion transverse axis triangle Trigonometry unit unknown quantity variable vertex vertical vulgar fraction whole number