A Collection of Problems and Examples Adapted to the "Elementary Course of Mathematics.": With an Appendix Containing the Questions Proposed During the First Three Days of the Senate-House Examinations in the Years 1848, 1849, 1850, and 1851J. Deighton, 1851 - 173 sider |
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Side 82
... reflected at the curve ; determine the latus rectum of the parabola described . The position of a ball on a triangular billiard table being given ; it is required to shew that there are three directions , in any one of which if the ball ...
... reflected at the curve ; determine the latus rectum of the parabola described . The position of a ball on a triangular billiard table being given ; it is required to shew that there are three directions , in any one of which if the ball ...
Side 83
... point in the circumference of a circle : after being reflected twice at the circumference it returns to the point of projection . Required the direction of projection . 17. Prove that if a body be projected from one 6-2 DYNAMICS . 83.
... point in the circumference of a circle : after being reflected twice at the circumference it returns to the point of projection . Required the direction of projection . 17. Prove that if a body be projected from one 6-2 DYNAMICS . 83.
Side 98
... reflected by a plane surface to another , is shorter than it would have been according to any other law of reflexion . 2. A ray of light is incident from a point 4 , and re- flected at a given plane surface to another point B ; sup ...
... reflected by a plane surface to another , is shorter than it would have been according to any other law of reflexion . 2. A ray of light is incident from a point 4 , and re- flected at a given plane surface to another point B ; sup ...
Side 99
... reflected rays . 5. Two parallel rays are incident on a spherical re- flector at the same side of the axis ; shew that the angle between the reflected rays is equal to twice the difference between the angles of incidence . 6. Find the ...
... reflected rays . 5. Two parallel rays are incident on a spherical re- flector at the same side of the axis ; shew that the angle between the reflected rays is equal to twice the difference between the angles of incidence . 6. Find the ...
Side 100
... reflected successively by each of them ; it is required to shew that the angle between the first incident and last reflected rays is equal to twice the angle of incidence upon the first surface . REFRACTION AT A PLANE SURFACE . 1. Find ...
... reflected successively by each of them ; it is required to shew that the angle between the first incident and last reflected rays is equal to twice the angle of incidence upon the first surface . REFRACTION AT A PLANE SURFACE . 1. Find ...
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Vanlige uttrykk og setninger
angular points arithmetical arithmetical mean arithmetical series axis base bisects centre of gravity chord circle concave convex lens cos² cosec curve cylinder Describe determine diameter direction distance Divide drawn elastic balls ellipse equal equation equilibrium feet find the height Find the number find the position Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight horizontal plane hyperbola immersed inches incident inclined plane inscribed latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure proportional prove pullies quantities radii radius ratio reflexion refracted respectively right angle shew sides sin² specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower triangle vertex
Populære avsnitt
Side 111 - If two triangles have two sides of the one equal to two sides of the...
Side 128 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square of the other part.
Side 111 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Side 112 - EQUAL straight lines in a circle are equally distant from the centre ; and those which are equally distant from the centre, are equal to one another.
Side 144 - ... a circle. The angle in a semicircle is a right angle: the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Side 112 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 160 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.