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acceleration ALGEBRA arithmetic Assuming axis ball base body centre of gravity chord circle circular coefficient common cone curve Define described determine diameter difference direction distance divided drawn elastic equal equation equilibrium expansion Explain expression extremities feet Find Find the equation fixed forces forces acting four fraction geometrical given greater greatest half horizontal plane hour inclined plane inscribed integer intersect least length less magnitude mean measure meet miles motion moving opposite parabola parallel parallelogram particle passing perpendicular placed plane positive produced projected proportional prove pulley PURE MATHEMATICS radius ratio represented respectively rest resultant right angles roots segments sides sliding smooth Solve sphere square STATICS straight line string subtending taken tangent touch triangle triangle ABC uniform units velocity vertical weight whole
Side 34 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Side 146 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Side 99 - 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.
Side 34 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Side 82 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the line which touches it.
Side 50 - 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 2 - AB be the given straight line ; it is required to divide it 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 114 - ... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Side 18 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.