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
... portion of space bounded by a surface , term abscissa is applied to distances measured every point of which is equally distant from from the plane XZ and parallel to the axis of a point within , called the centre , " is a mere Y , they ...
... portion of space bounded by a surface , term abscissa is applied to distances measured every point of which is equally distant from from the plane XZ and parallel to the axis of a point within , called the centre , " is a mere Y , they ...
Page 19
... portion 10800 : 3.1416 :: 1 : da , whence There are other methods of determining inaccessible altitudes , but those already given suffice to indicate the general manner of pro- ceeding . The horizontal distance from any selected point ...
... portion 10800 : 3.1416 :: 1 : da , whence There are other methods of determining inaccessible altitudes , but those already given suffice to indicate the general manner of pro- ceeding . The horizontal distance from any selected point ...
Page 22
... portion of the science which may be proved thus : DC is tangent to of mathematics in which the quantities consi- the circle and BC cuts it ; therefore the angle dered are denoted by letters , and the opera- tions to be performed upon ...
... portion of the science which may be proved thus : DC is tangent to of mathematics in which the quantities consi- the circle and BC cuts it ; therefore the angle dered are denoted by letters , and the opera- tions to be performed upon ...
Page 25
... portion of space lying between or upon their direct representatives , although two lines , or between two or more surfaces , the reasoning may have been conducted by meeting in a common point . There are four the aid of algebraic ...
... portion of space lying between or upon their direct representatives , although two lines , or between two or more surfaces , the reasoning may have been conducted by meeting in a common point . There are four the aid of algebraic ...
Page 28
... portion of the surface of a sphere be taken as the measure of a polyedral angle . If the vertex of the angle be the centre of a sphere , that portion of the surface lying within the faces of the angle may be taken as the mea- sure of ...
... portion of the surface of a sphere be taken as the measure of a polyedral angle . If the vertex of the angle be the centre of a sphere , that portion of the surface lying within the faces of the angle may be taken as the mea- sure of ...
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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 conic sections conic surface conjugate constructed cube cubic equation curve cycloid decimal deduced degree denote diameter 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 principal vertex principles projection quotient radius ratio regular polygon result rhumb line right angles roots rule scale sides sphere spherical square straight line surface taken tangent term tion transverse axis triangle Trigonometry unit unknown quantity variable vertex vertical vulgar fraction whole number
Popular passages
Page 87 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 275 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Page 26 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 454 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Page 82 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Page 4 - This cyclopaedia of mathematical science defines, with completeness, precision, and accuracy, every technical term ; thus constituting a popular treatise on each branch and a general view of the whole subject. 50 The National Teachers
Page 462 - In any quadrilateral the sum of the squares of the four sides is equal to the sum of the squares of the diagonals, plus four times the square of the line joining the middle points of the diagonals.
Page 134 - Subtract the cube of this number from the first period, and to the remainder bring down the first figure of the next period for a dividend.
Page 453 - Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth.
Page 516 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.