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 ScienceA. S. Barnes, 1859 - 592 σελίδες |
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Σελίδα 17
... vertex from the plane of the base . ALTITUDE OF A FRUSTRUM of either a cone or pyramid , is the perpendicular ... principal methods : CE : DE :: CA : BA ; whence , BA = DE X CA CE Hence the altitude becomes known . The last method does ...
... vertex from the plane of the base . ALTITUDE OF A FRUSTRUM of either a cone or pyramid , is the perpendicular ... principal methods : CE : DE :: CA : BA ; whence , BA = DE X CA CE Hence the altitude becomes known . The last method does ...
Σελίδα 97
... principal cir- cles considered are as follows : 1. The primitive circle is ... vertex of a diameter , which diameter coin- € 0 , and b R ; and the equation ... vertex of a diameter . point ; all circles of the celestial sphere , The ...
... principal cir- cles considered are as follows : 1. The primitive circle is ... vertex of a diameter , which diameter coin- € 0 , and b R ; and the equation ... vertex of a diameter . point ; all circles of the celestial sphere , The ...
Σελίδα 146
... principal vertex . By differentiation and combination , we find tial equation of the curve , dx dy dr2 ( p + r2x ) 2 y ' and day dx2 y3 If we substitute these in the formula for R , taking the lower sign , it gives R = [ p2 + ( r2 + 1 ) ...
... principal vertex . By differentiation and combination , we find tial equation of the curve , dx dy dr2 ( p + r2x ) 2 y ' and day dx2 y3 If we substitute these in the formula for R , taking the lower sign , it gives R = [ p2 + ( r2 + 1 ) ...
Σελίδα 191
... vertex of the curve A , to To find the analytical expression for the the ... principal axis , and if the or hyperbola . Making e = = 0 , which corres ... principal ver- tex . For the hyperbola , e > 1 , and the values of AT are negative ...
... vertex of the curve A , to To find the analytical expression for the the ... principal axis , and if the or hyperbola . Making e = = 0 , which corres ... principal ver- tex . For the hyperbola , e > 1 , and the values of AT are negative ...
Σελίδα 192
... principal vertex . When e = = ∞ , which corresponds to the case In any case , the true present value of a in which the hyperbola becomes two parallel note , payable at some future day , is the sum straight lines perpendicular to the ...
... principal vertex . When e = = ∞ , which corresponds to the case In any case , the true present value of a in which the hyperbola becomes two parallel note , payable at some future day , is the sum straight lines perpendicular to the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 148 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Σελίδα 562 - ... triangles are to each other as the products of their bases by their altitudes.
Σελίδα 584 - A zone is a portion of the surface of a sphere included between two parallel planes.
Σελίδα 520 - The volumes of two spheres are to each other as the cubes of their radii, or as the cubes of their diameters.