## 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 chords circle co-efficient co-ordinates common cone considered constructed contains continued corresponding course curve decimal denote describe determined diameter difference differential direction distance divided division draw drawn elements ellipse equal equation expression extremity face factors figure fixed formula fraction function Geometry give given greater hence horizontal indicated infinite intersection known latitude length less limit logarithm manner means measure meridian method multiplied nature operation parallel pass perpendicular plane polygon portion positive principles problem projection quantity radius ratio reduced referred relation remaining represent respect result right angles roots rule scale sides sphere square straight line suppose surface survey taken tangent term third tion triangle unit variable vertex vertical whole

### 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 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.

Page 7 - A sphere is a solid bounded by a curved surface, 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 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 281 - 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 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.