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 7
... EQUATION , is an equation ex- pressing a relation between abstract quanti- ties only , as , 3x + 4x - 5 = 0 . In such a system , the abscissa of a point | magnitude represented by the equation passes is the distance cut off from the ...
... EQUATION , is an equation ex- pressing a relation between abstract quanti- ties only , as , 3x + 4x - 5 = 0 . In such a system , the abscissa of a point | magnitude represented by the equation passes is the distance cut off from the ...
Page 14
... equation ( 3 ) . If , now , we divide 200 by 10 , the whole these restrictions greatly limit the generality number of ounces in the mixture , we shall of the problem . find 20 carats for the quality of the mixture . The principle in the ...
... equation ( 3 ) . If , now , we divide 200 by 10 , the whole these restrictions greatly limit the generality number of ounces in the mixture , we shall of the problem . find 20 carats for the quality of the mixture . The principle in the ...
Page 24
... equations determine the values of the includes those investigations in which the required parts . relations between ... equations determined are called the equations of the problem , and by examining them we are enabled to pronounce upon ...
... equations determine the values of the includes those investigations in which the required parts . relations between ... equations determined are called the equations of the problem , and by examining them we are enabled to pronounce upon ...
Page 39
... equation of the parabola is y2 = 2px , and of the circle ( x − a ) 2 + ( y - b ) 2 = 12 . If we combine these equations , and eliminate x , the values of y in the resulting equation , will represent the four perpendiculars PM , P'M ...
... equation of the parabola is y2 = 2px , and of the circle ( x − a ) 2 + ( y - b ) 2 = 12 . If we combine these equations , and eliminate x , the values of y in the resulting equation , will represent the four perpendiculars PM , P'M ...
Page 40
... equation . In the equa- tion of the fourth degree , if two of the roots are imaginary , that fact will be indicated by the circle only cutting the parabola in two points . Let it be required to construct the roots of the equation y ' + ...
... equation . In the equa- tion of the fourth degree , if two of the roots are imaginary , that fact will be indicated by the circle only cutting the parabola in two points . Let it be required to construct the roots of the equation y ' + ...
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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