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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Page 10
... circle . If the opera- tion be then repeated , we shall have a poly- gon still nearer in area to the circle , and so on . If the operation be repeated ad infinitum we shall reach the limit , that is , the inscribed polygon will coincide ...
... circle . If the opera- tion be then repeated , we shall have a poly- gon still nearer in area to the circle , and so on . If the operation be repeated ad infinitum we shall reach the limit , that is , the inscribed polygon will coincide ...
Page 27
... circle , an angle is said to be at the centre , A when its vertex is at the centre , and its sides radii of the circle . Thus , the angle ACB is an angle at the centre . B An angle is at the circumference , or is an inscribed angle ...
... circle , an angle is said to be at the centre , A when its vertex is at the centre , and its sides radii of the circle . Thus , the angle ACB is an angle at the centre . B An angle is at the circumference , or is an inscribed angle ...
Page 34
... circle , which passes lines antiparallels with respect to the first through the north pole of the ecliptic , called two , and conversely , the first two are anti- parallels with respect to the last two . See Sub - contrary . the Arctic ...
... circle , which passes lines antiparallels with respect to the first through the north pole of the ecliptic , called two , and conversely , the first two are anti- parallels with respect to the last two . See Sub - contrary . the Arctic ...
Page 39
... circle does not cut FA , the essentially positive . ( 1 ) . x2 + 2px = q2 . ( 2 ) . x2 - 2px = q2 ( 3 ) . x2 + 2px = -q3 ( 4 ) . x2 - 2px = -q2 . whence 2 3. Equations of the third and fourth Degrees . The construction of the roots of ...
... circle does not cut FA , the essentially positive . ( 1 ) . x2 + 2px = q2 . ( 2 ) . x2 - 2px = q2 ( 3 ) . x2 + 2px = -q3 ( 4 ) . x2 - 2px = -q2 . whence 2 3. Equations of the third and fourth Degrees . The construction of the roots of ...
Page 41
... circle to its circumference , or the length of the circumference of a circle whose diameter is 1 , affords an instance of geome- trical approximation . It is a principle of Geometry , that the arc of a circle is greater than its chord ...
... circle to its circumference , or the length of the circumference of a circle whose diameter is 1 , affords an instance of geome- trical approximation . It is a principle of Geometry , that the arc of a circle is greater than its chord ...
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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 differential co-efficient directrix distance divided divisor draw drawn elements ellipse equa equal equation expression factors formula fraction 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 polynomial 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