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
J. Deighton, 1851 - Mathematics - 173 pages
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Pages à faire: 15, 16, 17, 19, 21 et 25.
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A Collection of Problems and Examples, Adapted to the Elementary Course of ...
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acting angle arithmetical axis ball base body centre circle College common containing curve Define Describe determine diameter difference direction distance Divide double drawn elastic ellipse equal equation equilibrium Explain Express extremities fall feet fixed fluid focal length focus force four geometrical given given point greater greatest half horizontal inches incident inclined plane inscribed known lens less means meet miles mirror motion moving Multiply object observed opposite parabola parallel passing pencil perpendicular person placed plane position pressure Problems progression projected proportional prove pullies quantities radius ratio rays reflected refracted respectively rest right angle shew sides space specific gravity sphere square straight line string supposing surface taken tangent third tower triangle velocity vertex vertical weight whole
Page 111 - If two triangles have two sides of the one equal to two sides of the...
Page 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.
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 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.