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 7
... parallel to either of the horizontal axes , the distance measured on a parallel to the axis of Z being always called the ordinate . It is customary to define the abscissa of a point in space , to be the distance of the point from the co ...
... parallel to either of the horizontal axes , the distance measured on a parallel to the axis of Z being always called the ordinate . It is customary to define the abscissa of a point in space , to be the distance of the point from the co ...
Page 16
... parallel to the horizon . Since every point of an al- mucantar has the same altitude , it is often called a circle of equal altitude . nation . AL'TERN - A'TION . Sometimes used in Algebra and Arithmetic for permutation , to express the ...
... parallel to the horizon . Since every point of an al- mucantar has the same altitude , it is often called a circle of equal altitude . nation . AL'TERN - A'TION . Sometimes used in Algebra and Arithmetic for permutation , to express the ...
Page 17
... parallel sides , which are then called bases . ALTITUDE OF A PARALLELOGRAM is the per- Fendicular distance between any two parallel sides taken as bases . ALTITUDE OF A CONE OR PYRAMID is the perpendicular distance of the vertex from ...
... parallel sides , which are then called bases . ALTITUDE OF A PARALLELOGRAM is the per- Fendicular distance between any two parallel sides taken as bases . ALTITUDE OF A CONE OR PYRAMID is the perpendicular distance of the vertex from ...
Page 37
... parallel to CB , and through the vertex B draw BB ' parallel to the base AC . Join B'A , and through F draw FG perpendicular Let ABC represent the given triangle , and have an equal area and an equal perimeter . to AC , and FE parallel ...
... parallel to CB , and through the vertex B draw BB ' parallel to the base AC . Join B'A , and through F draw FG perpendicular Let ABC represent the given triangle , and have an equal area and an equal perimeter . to AC , and FE parallel ...
Page 56
... parallel lines terminating in the boundary of versally admitted as truths in all ages . Upon the figure , and the figure is said to be sym- the axioms , and the definitions agreed upon , metrical with respect to this axis . In a regu ...
... parallel lines terminating in the boundary of versally admitted as truths in all ages . Upon the figure , and the figure is said to be sym- the axioms , and the definitions agreed upon , metrical with respect to this axis . In a regu ...
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Common terms and phrases
algebraic altitude application arithmetical axes base bisect 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 formula fraction function generatrix Geometry given greatest common divisor hence horizontal hyperbola infinite number intersection latitude length logarithm mathematical means measure meridian method multiplied operation ordinate parabola parallel pass perpendicular plane plane of reference polygon polynomial 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 279 - 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 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 527 - 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 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 419 - If one angle of a parallelogram is a right angle, all the other angles are right angles, and the figure is a rectangle.
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.