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
... 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 changes in the order of the quantities considered . AL - TIM'E - TER . [ L ...
... 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 changes in the order of the quantities considered . AL - TIM'E - TER . [ L ...
Page 17
... 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 the plane of the base . ALTITUDE OF A FRUSTRUM of ...
... 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 the plane of the base . ALTITUDE OF A FRUSTRUM of ...
Page 18
... altitude . AD2 CD AB2 + BD 2AB BG and BC + BD2 · - 2BC . BG , 1. Let it be required to determine the alti- tude of the point D above the horizontal whence , by substituting the expressions for plane AC . the several distances aiready ...
... altitude . AD2 CD AB2 + BD 2AB BG and BC + BD2 · - 2BC . BG , 1. Let it be required to determine the alti- tude of the point D above the horizontal whence , by substituting the expressions for plane AC . the several distances aiready ...
Page 19
... altitude tance , and then the altitude may be determined when the error in angle is one minute , is by the first method given . Wherever angles about th part of the entire altitude . If have to be measured it is important to be very the ...
... altitude tance , and then the altitude may be determined when the error in angle is one minute , is by the first method given . Wherever angles about th part of the entire altitude . If have to be measured it is important to be very the ...
Page 20
... ALTITUDE AND AZIMUTH INSTRUMENT . An For the more convenient application of the above formula , tables have been constructed , instrument used in geodesy for measuring by means of which the arithmetical operations are much facilitated ...
... ALTITUDE AND AZIMUTH INSTRUMENT . An For the more convenient application of the above formula , tables have been constructed , instrument used in geodesy for measuring by means of which the arithmetical operations are much facilitated ...
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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.