New Series of The Mathematical Repository, Volum 4W. Glendinning, 1819 |
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Resultat 1-5 av 33
Side
... spherical triangle , it is required to find , in terms of these sides , the radii of the inscribed and circumscribing circles and the distance of their centres . II . QUESTION 412 , by GEOMETRICUS . In a given polygon to inscribe ...
... spherical triangle , it is required to find , in terms of these sides , the radii of the inscribed and circumscribing circles and the distance of their centres . II . QUESTION 412 , by GEOMETRICUS . In a given polygon to inscribe ...
Side 79
... Spherical Trigonometry , by Olinthus Gregory , L. L. D. 12mo . Elements of Plane Geometry and Trigonometry , by John Leslie , Professor of Mathematics in the University of Edinburgh , 3rd edit . 8vo . Philosophy of Arithmetic ; by John ...
... Spherical Trigonometry , by Olinthus Gregory , L. L. D. 12mo . Elements of Plane Geometry and Trigonometry , by John Leslie , Professor of Mathematics in the University of Edinburgh , 3rd edit . 8vo . Philosophy of Arithmetic ; by John ...
Side 107
... spherical trigonometry ( Simpson's Trig . p . 27. ) ver sin P = 2 sin ( zs zs ) sin ( zs - zs ) sin Ps sin PZ therefore 2sin ( zs— zs ′ ) = versin P x sin PS sin PZ sin ( zszs ' ) But the observations being made when the object is near ...
... spherical trigonometry ( Simpson's Trig . p . 27. ) ver sin P = 2 sin ( zs zs ) sin ( zs - zs ) sin Ps sin PZ therefore 2sin ( zs— zs ′ ) = versin P x sin PS sin PZ sin ( zszs ' ) But the observations being made when the object is near ...
Side 132
... spherical trigonometry , we have - 9 . COS PSX sin PD + cos HPS X sin PS X COS PD Sin HPS sin PS sin a sina + cos cosa cos △ a Cot D = cot p ' = sin cos a since cot = cos P we obtain , that is , • Therefore , cot o ' - cot = sina sin + ...
... spherical trigonometry , we have - 9 . COS PSX sin PD + cos HPS X sin PS X COS PD Sin HPS sin PS sin a sina + cos cosa cos △ a Cot D = cot p ' = sin cos a since cot = cos P we obtain , that is , • Therefore , cot o ' - cot = sina sin + ...
Side 143
... spherical triangle ooz , the leg oz is equal to the Ο latitude of the place ; the leg og is equal to the hour arc , or angle from 12 ; and the angle qzo is equal to the sun's azimuth from the south Put z oo , the hour angle from 12 ...
... spherical triangle ooz , the leg oz is equal to the Ο latitude of the place ; the leg og is equal to the hour arc , or angle from 12 ; and the angle qzo is equal to the sun's azimuth from the south Put z oo , the hour angle from 12 ...
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Vanlige uttrykk og setninger
altitude attraction axis base bisecting body centre of gravity chord circumference cone conic section cosine CUNLIFFE curve cycloid denote described determine diameter difference distance draw drawn ellipse equal equation expression fluxion force formula given circle given point given ratio hence hyperbola inscribed John Pond latitude Lemma length logarithm Mathematical Olinthus Gregory orbit ordinate PALABA parabola parallel pendulum perpendicular plane prime numbers Proposer Prove quadrant quantities QUESTION R. M. College radius rectangle right angles right ascension roots Royal Military Academy segments shew sides sin² sin³ sine SOLUTION specific gravity sphere spherical reflector spheroid square straight line supposed surface tangent theorem triangle velocity vertex vertical whence wherefore
Populære avsnitt
Side 6 - In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. By Theorem II. we have a : b : : sin. A : sin. B.
Side 135 - Shew that the sum of the products of each body into the square of- its velocity is a minimum, when the velocities are reciprocally proportional to the quantities of matter in the bodies.
Side 122 - From the same demonstration it likewise follows that the arc which a body, uniformly revolving in a circle by means of a given centripetal force, describes in any time is a mean proportional between the diameter of the circle and the space which the same body falling by the same given force would descend through in the same given time.
Side 138 - If the circumference of a circle be divided into any number of equal parts, the chords joining the successive points of division form a regular polygon inscribed in the circle ; and the tangents drawn at the points of division form a regular polygon circumscribed about the circle.
Side 28 - In a triangle, having given the ratio of the two sides, together with both the segments of the base, made by a perpendicular from the vertical angle, to determine the sides of the triangle.
Side 98 - Given the vertical angle, the difference of the two sides containing it, and the difference of the segments of the base made by a perpendicular from the vertex ; construct the triangle.
Side 50 - If two triangles have two sides of the one equal to two sides of the other, each to each, and the included...
Side 123 - CLASSES. 1. Shew from the principles of the fifth book of Euclid, that a ratio of greater inequality is diminished, and of less inequality increased, by adding a quantity to both its terms. 2. The time of day at a given place determined from observations of the sun's altitude is 9h. 10'.45"; and a chronometer set to Greenwich time shews 6h. 3'.
Side 40 - 16 . 24 1.3.5.7 6.7.9.11 9.11.13.15 to n terms by increments. to n terms. 21. If seven balls be drawn from a bag containing eleven in all, five of which are white and six black ; what is the probability that three white balls will be drawn?