New Series of The Mathematical Repository, Volum 4W. Glendinning, 1819 |
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Resultat 1-5 av 29
Side 3
Thomas Leybourn. MONDAY AFTERNOON . MR . BLAND . Fifth and Sixth Classes . 1. Extract the square root of 9'0240160 25'3009 g . Prove the rule for completing the square in a quadratic equation . 8. Find the sum of the series T -9-7 and 1 ...
Thomas Leybourn. MONDAY AFTERNOON . MR . BLAND . Fifth and Sixth Classes . 1. Extract the square root of 9'0240160 25'3009 g . Prove the rule for completing the square in a quadratic equation . 8. Find the sum of the series T -9-7 and 1 ...
Side 4
... AFTERNOON . - Mr . MACFARLAN . Third and Fourth Classes . 1. Required the perpendicular from the vertex upon the base of a triangular pyramid , all the sides of which are equilateral tri- angles of a given area . 2. Given the difference ...
... AFTERNOON . - Mr . MACFARLAN . Third and Fourth Classes . 1. Required the perpendicular from the vertex upon the base of a triangular pyramid , all the sides of which are equilateral tri- angles of a given area . 2. Given the difference ...
Side 9
... AFTERNOON . - Mr . MACFARLAN . Fifth and Sixth Classes . 1. Find the value of £ 12341414141 & c . 2. The amount of £ 500 in of a year was £ 520 . Required the rate per cent . 3. Find the circumference of a circle whose radius is unity ...
... AFTERNOON . - Mr . MACFARLAN . Fifth and Sixth Classes . 1. Find the value of £ 12341414141 & c . 2. The amount of £ 500 in of a year was £ 520 . Required the rate per cent . 3. Find the circumference of a circle whose radius is unity ...
Side 11
... AFTERNOON . - Mr . BLAND . Third and Fourth 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 ...
... AFTERNOON . - Mr . BLAND . Third and Fourth 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 ...
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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?