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 16
... vertex of the opposite angle is the vertex of the triangle . The side which appears horizontal , in viewing the figure , is generally ALTERNATE ANGLES . In elementary geome- considered as the base , unless some other try , if two ...
... vertex of the opposite angle is the vertex of the triangle . The side which appears horizontal , in viewing the figure , is generally ALTERNATE ANGLES . In elementary geome- considered as the base , unless some other try , if two ...
Page 17
... vertex from the plane of the base . ALTITUDE OF A FRUSTRUM of either a cone or pyramid , is the perpendicular distance be- tween the planes of its bases . ALTITUDE OF A ParallelopipedoN is the distance between the planes of any two par ...
... vertex from the plane of the base . ALTITUDE OF A FRUSTRUM of either a cone or pyramid , is the perpendicular distance be- tween the planes of its bases . ALTITUDE OF A ParallelopipedoN is the distance between the planes of any two par ...
Page 25
... vertex . Thus , the part of the AB and AC , is a plane plane lying between angle ; AB and AC A are its sides , and A is its vertex . C B A plane angle is a species of geometrical magnitude , entirely independent of the length of its ...
... vertex . Thus , the part of the AB and AC , is a plane plane lying between angle ; AB and AC A are its sides , and A is its vertex . C B A plane angle is a species of geometrical magnitude , entirely independent of the length of its ...
Page 26
... vertex , as the measure of an angle . This method of measuring plane angles is the one usually adopted , in consequence of its simplicity and ready application to the methods of trigonometrical computation . For the purpose of comparing ...
... vertex , as the measure of an angle . This method of measuring plane angles is the one usually adopted , in consequence of its simplicity and ready application to the methods of trigonometrical computation . For the purpose of comparing ...
Page 27
... vertex is at the centre , and its sides radii of the circle . Thus , the angle ACB is an angle at the centre . A B B An angle is at the circumference , or is an inscribed angle , when its vertex is on the circumference , and its sides ...
... vertex is at the centre , and its sides radii of the circle . Thus , the angle ACB is an angle at the centre . A B B An angle is at the circumference , or is an inscribed angle , when its vertex is on the circumference , and its sides ...
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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.