## 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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### Common terms and phrases

algebraic altitude application arithmetical axes base bisect branch Calculus called centre chord circle circles of latitude co-ordinates cone conic sections conic surface conjugate constructed cube cubic equation curve cycloid decimal deduced degree denote diameter difference directrix distance divided divisor draw drawn ellipse equa equal equation expression factors formula fraction frustum function generatrix Geometry given greatest common divisor hence horizontal hyperbola infinite number intersection latitude length logarithm mathematical means measure meridian method multiplied operation ordinale 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 root 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 91 - 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 281 - 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 472 - 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 86 - 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 480 - 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 140 - 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 471 - 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 534 - 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.