# A collection of elementary test questions in pure and mixed mathematics, with answers

Macmillan and Company, 1866 - Mathematics - 404 pages

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### Contents

 Progressions 31 Horners Solution of Equations 37 Continued Fractions 48 Piles of Shot 55 Geometrical Deductions 67 Plane Trigonometry 73 Mensuration 87 Spherical Trigonometry 98
 Practical Mechanics 153 Dynamics 159 Hydrostatics 180 Differential Calculus 187 Integral Calculus 193 Centre of Oscillation 199 121 305 198 308

### Popular passages

Page 255 - 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 218 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Page 201 - If two straight lines meeting one another be parallel to two other straight lines which meet one another, but are not in the same plane with the first two; the plane which passes through these is parallel to the plane passing through the others.
Page 263 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Page 226 - ... other two shall contain equal angles. Let the two straight lines AB, BC which meet one another be parallel to the two straight lines DE, EF that meet one another, and are not in IJie same plane with AB, BC.
Page 68 - To describe an isosceles triangle having each of the angles at the base double of the third angle.
Page 226 - If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or these produced, proportionally : and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle.
Page 270 - THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the.
Page 278 - If a straight line stand at right angles to each of two straight lines at the point of their intersection, it shall also be at right angles to the plane which passes through them, that is, to the plane in which they are.