New Series of The Mathematical Repository, Volum 4W. Glendinning, 1819 |
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Resultat 1-5 av 69
Side
... surface ; Find the nature of the curve , so that the beam may be in equilibrio in any posi tion whatever . Also supposing the nature of the curve given , find the position of the beam when it is in equilibrio . D XII . QUESTION 402 , by ...
... surface ; Find the nature of the curve , so that the beam may be in equilibrio in any posi tion whatever . Also supposing the nature of the curve given , find the position of the beam when it is in equilibrio . D XII . QUESTION 402 , by ...
Side
... surface of a certain solid from the vertex is equal to half the abscissa : determine the nature of the curve by the revolution of which round its axis the surface was generated . X. QUESTION 420 , by PROTEUS . It is required to inscribe ...
... surface of a certain solid from the vertex is equal to half the abscissa : determine the nature of the curve by the revolution of which round its axis the surface was generated . X. QUESTION 420 , by PROTEUS . It is required to inscribe ...
Side 12
... which any plane meets the surface of the spheroid , and let a ub ' be the stereographic projection of this line upon any plane perpendicular to the axis . Conceive a plane PAQB to pass along the axis , and meet the planes AVB , a ( 12 )
... which any plane meets the surface of the spheroid , and let a ub ' be the stereographic projection of this line upon any plane perpendicular to the axis . Conceive a plane PAQB to pass along the axis , and meet the planes AVB , a ( 12 )
Side 13
... surface of the spheroid in the line HVK , which will be a circle . Draw a line from D to V , which being the common section of the planes AVB , HVK , will be perpendicular to the plane PAB , and therefore perpendicular to the line HK ...
... surface of the spheroid in the line HVK , which will be a circle . Draw a line from D to V , which being the common section of the planes AVB , HVK , will be perpendicular to the plane PAB , and therefore perpendicular to the line HK ...
Side 26
... surface of an upright cylinder , so that when urged by the force of gravity , it may descend from one given point to another in the shortest time possible ? SOLUTION , by Mr. LowRY , the Proposer . Since gravity is the only force that ...
... surface of an upright cylinder , so that when urged by the force of gravity , it may descend from one given point to another in the shortest time possible ? SOLUTION , by Mr. LowRY , the Proposer . Since gravity is the only force that ...
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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?