## New Cambridge Guide; Or, A Description of the University, Town, and County of Cambridge |

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Página 132

A Treatise on

A Treatise on

**Plane**and Splerical Trigonometry , price 49 . 37. ' The Elements of Conic Sections , price 25. 6d . 38. A complete System of Astronomy , in 2 ... Página 1

A body falls freely by the force of gravity down AB , and uniformly describes the space BD , equal to twice AB , on the horizontal

A body falls freely by the force of gravity down AB , and uniformly describes the space BD , equal to twice AB , on the horizontal

**plane**, with the velocity ... Página 2

A body is projected from the top of a given inclined

A body is projected from the top of a given inclined

**plane**. Required the direction of projection in which the least velocity will bring it to the bottom of ... Página 3

Given the velocity and direction of projection , ' find the range on a

Given the velocity and direction of projection , ' find the range on a

**plane**of given elevation , and the greatest altitude . 10. Página 5

In any

In any

**plane**oblique angled triangle , given two sides and the included angle , to solve the triangle . 5. A body falls from rest by the force of gravity ...### Comentarios de la gente - Escribir un comentario

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Página 94 - That man is little to be envied, whose patriotism would not gain force upon the plain of Marathon, or whose piety would not grow • warmer among the ruins of lona.

Página 109 - The rectangle contained by the diagonals of a quadrilateral ,figure inscribed in a circle, is equal to both the rectangles contained by i'ts opposite sides.

Página 71 - A course of Lectures, containing a description and systematic arrangement of the several branches of Divinity, accompanied with an account both of the principal authors, and of the progress which has been made at different periods, in Theological learning.

Página 139 - Cambridge Problems ; being a Collection of the printed Questions proposed to the Candidates for the Degree of Bachelor of Arts at the general Examinations, from the Year 1801 to the Year 1810 inclusive; with a Preface. By a Graduate of the University.

Página 69 - ... and bisecting, a very distant object, be given, and in it the position of the eye and image, and also the apparent magnitudes of the object and image ; to determine the magnitude and position of the refracting surface. 20. A body is projected in a given direction, at a known distance from an horizontal plane, with a given velocity, acted on by a force perpendicular to the plane, which is inversely proportional to the square of its distance from the plane ; construct the orbit it will describe....

Página 176 - Find the inclination of the bar to the horizon, upon supposition that the semi-circle is devoid of weight. 2. Prove, from a property of the circle, that if four quantities are proportionals, the sum of the greatest and least is greater than the sum of the other two. 3. Given the area of any plane surface, it is required to find the content of a solid, formed ' by drawing lines from a given point without the plane, to every part of its surface.

Página 174 - AF is perpendicular to each of the straight lines GH, DE. But if a straight line stand at right angles to each of two straight lines in the point of their intersection, it is also at right angles to the plane passing through them : (xi.

Página 3 - IV. 34. Having given the vertical angle of a triangle, and the radii of the inscribed and circumscribed circles, to construct the triangle. 35. Given the base and vertical angle of a triangle, and also the radius of the inscribed circle, required to construct it. 36. Given the three angles of a triangle, and the radius of the inscribed circle, to construct the triangle. 37. If the base and vertical angle of a plane triangle be given, prove that the locus of the centers of the inscribed circle is...

Página 138 - Solve the equation 1 = — i 1 x 2 and of the two expressions 3. With what velocity must a body be projected from a tower, in a direction parallel to the horizon, so that it shall strike the ground at a distance from the foot of the tower, equal half the

Página 65 - A body, of weight 2P, is kept in equilibrium on an inclined plane by a horizontal force P, together with a force P acting parallel to the plane ; find the ratio of the base of the...