## 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 angle application assumed axes axis base becomes branch called centre chord circle co-efficient co-ordinates common cone constructed contains corresponding course curve decimal denote describe determined diameter differential direction distance divided division draw drawn elements ellipse employed equal equation expression extremity factors figure fixed formula fraction function Geometry give given greater hence horizontal indicated infinite intersection kind known latitude length less limit logarithm manner mathematical means measure meridian method multiply nature operation parallel pass perpendicular plane polygon portion position principles problem projection properties quantity radius ratio reduced referred relation remaining represent respect result roots rule scale sides sphere square straight line suppose surface taken tangent term third tion triangle unit variable vertex vertical

### Popular passages

Page 215 - 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 217 - 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 140 - 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 180 - 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 80 - 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 400 - 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 217 - 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 124 - 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 360 - 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...