## 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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algebraic altitude application arithmetical axes base bisect branch Calculus called centre chords circle circles of latitude circumference co-ordinates common cone conic sections conic surface conjugate constructed cube cubic equation curve cycloid decimal deduced degree denote diameter directrix distance divided divisor draw drawn ellipse equa equal equation expression factors figure formula fraction frustum function generatrix Geometry greatest common divisor hence horizontal hyperbola infinite number intersection latitude length logarithm mathematical means measure meridian method multiplied operation ordinate parabola parallel pass perpendicular plane plane of reference polar polygon polynomial positive 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

### Popular passages

Page 277 - 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 279 - 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 154 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.

Page 222 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.

Page 84 - 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 532 - 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.

Page 279 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.

Page 138 - 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 2 - 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 470 - 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...