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 34
... diameter . They have the same latitude , the one north , and the other south . and are distant from each other 180 ° in longitude . A'PEX . [ L. apex ] . The vertex , top , or summit of any thing . The apex of a cone , or pyramid , is ...
... diameter . They have the same latitude , the one north , and the other south . and are distant from each other 180 ° in longitude . A'PEX . [ L. apex ] . The vertex , top , or summit of any thing . The apex of a cone , or pyramid , is ...
Page 36
... diameter . If a curve is referred to a diameter , and a line parallel to the chords which it bisects , then an applicate is the same as the double ordinate through any point of the diameter . The application of one branch of mathe ...
... diameter . If a curve is referred to a diameter , and a line parallel to the chords which it bisects , then an applicate is the same as the double ordinate through any point of the diameter . The application of one branch of mathe ...
Page 38
... diameter ; then ( ba ) . Make EH a will EG be equal to equal to one - fourth of ED , or equal to and draw GH ; then − a ) + ( 3 = a . ) * - Make HE equal to HG then 4 a GH = = ± √ ( b − a ) + b EK = - a 4 + ✓ a -a - ( b − a ) + b ...
... diameter ; then ( ba ) . Make EH a will EG be equal to equal to one - fourth of ED , or equal to and draw GH ; then − a ) + ( 3 = a . ) * - Make HE equal to HG then 4 a GH = = ± √ ( b − a ) + b EK = - a 4 + ✓ a -a - ( b − a ) + b ...
Page 41
... diameter is 1 , affords an instance of geome- trical approximation . It is a principle of Geometry , that the arc of a circle is greater than its chord , however small the arc may be . Now , if we suppose a regular polygon , say of 64 ...
... diameter is 1 , affords an instance of geome- trical approximation . It is a principle of Geometry , that the arc of a circle is greater than its chord , however small the arc may be . Now , if we suppose a regular polygon , say of 64 ...
Page 56
... diameter of a circle is an axis of sym- metry . AXIS OF A PYRAMID OR CONE is a straight line joining the vertex and the centre of the base . AXIS OF A PRISM OR CYLINDER is a straight 3. Things which are equal to equal things line ...
... diameter of a circle is an axis of sym- metry . AXIS OF A PYRAMID OR CONE is a straight line joining the vertex and the centre of the base . AXIS OF A PRISM OR CYLINDER is a straight 3. Things which are equal to equal things line ...
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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