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 40
... curve cuts the line AB , will be the real any application of the principles developed . roots of the equation . The reason is appa- Let us take an equation of the form rent , for when the curve whose equation is x + Bxm − 1 + Сxm − 2 ...
... curve cuts the line AB , will be the real any application of the principles developed . roots of the equation . The reason is appa- Let us take an equation of the form rent , for when the curve whose equation is x + Bxm − 1 + Сxm − 2 ...
Page 44
... curve , when its equation is given , we have the following formula : Z = √dx2 + dy3 , in which Z represents the length , and x and y are the co - ordinates of its points . To em- ploy the formula in any case , differentiate the ...
... curve , when its equation is given , we have the following formula : Z = √dx2 + dy3 , in which Z represents the length , and x and y are the co - ordinates of its points . To em- ploy the formula in any case , differentiate the ...
Page 53
... curve ; if not , there will be none . proper axis , and through its extremity drawing a 2. CURVILINEAR ASYMPTOTES . In order straight line parallel to the other axis . If one that one curve line may continually approach of the distances ...
... curve ; if not , there will be none . proper axis , and through its extremity drawing a 2. CURVILINEAR ASYMPTOTES . In order straight line parallel to the other axis . If one that one curve line may continually approach of the distances ...
Page 54
... curve will lie entirely within the circle , in which case , the enveloping circle is called an asymptote to the spiral . x - x ' = my + m'y + m'y`y " It is clear , that in the first instance , the dis - of the form tance between the two ...
... curve will lie entirely within the circle , in which case , the enveloping circle is called an asymptote to the spiral . x - x ' = my + m'y + m'y`y " It is clear , that in the first instance , the dis - of the form tance between the two ...
Page 71
... curve would have B curve of quickest descent is a cycloid . BRANCH OF A CURVE . [ Fr. branche , branch ] . A portion of a curve extending con- tinuously from one singular point , or point of discontinuity , to another ; or which extends ...
... curve would have B curve of quickest descent is a cycloid . BRANCH OF A CURVE . [ Fr. branche , branch ] . A portion of a curve extending con- tinuously from one singular point , or point of discontinuity , to another ; or which extends ...
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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