## 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 calculus called centre chords 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 elements ellipse equa equal equation expression factors figure 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 nth root operation ordinate parabola parallel pass perpendicular plane polygon 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 85 - 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 519 - 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 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 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 274 - In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides.

Page 337 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.

Page 148 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.

Page 562 - ... triangles are to each other as the products of their bases by their altitudes.

Page 584 - A zone is a portion of the surface of a sphere included between two parallel planes.

Page 520 - The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters.