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 1851
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angular points arithmetical arithmetical mean arithmetical progression arithmetical series axis base bisects body is projected centre of gravity chord circle concave cone conjugate convex lens cosec curve cylinder Describe determine diameter direction distance Divide elastic balls ellipse equation equilibrium feet find the angle find the height Find the number find the position find the value Find the velocity fluid focal length force geometrical focus geometrical progression geometrical series given point given velocity given weight harmonical mean horizontal plane hyperbola immersed inches inclined plane inscribed isosceles latus rectum luminous point mirror motion moving Multiply observed parabola parallel parallelogram pencil of rays perpendicular placed pressure prism proportional prove pullies quantities radii radius ray of light rectangle reflexion refracted respectively right angle shew specific gravity sphere spherical square St John's College straight line string passing Subtract surface tangent tower vertex vertical plane vessel
Page 111 - If two triangles have two sides of the one equal to two sides of the...
Page 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.
Page 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.
Page 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.
Page 160 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Page 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.
Page i - 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 • Examination.
Page 176 - Collection of Elementary Problems in Statics and Dynamics. Designed for Candidates for Honours, first three days. By W. WALTON, MA 8vo. 10».