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acres acting amount angle Arithmetic axis ball base body Book cent centre centre of gravity circle coefficient common contained cost crown 8vo cube cubic curve decimal Define described determine diameter difference direction distance Divide drawn ellipse English equal equation equilibrium Explain Express feet Find Find the value foot force four fraction given greatest half hour inches inclined inscribed interest least length logarithms means measure miles minute Multiply observed parallel passing perpendicular person placed plane poles position pound Practice pressure produced projected Prove radius ratio Reduce remaining respectively rest result right angles root sides simple Solve sphere square straight line string Subtract surface tables taken tangent tons triangle velocity vertical volume weight whole yards
Strona 123 - Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Strona 184 - 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.
Strona 78 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Strona 184 - To make a triangle of which the sides shall be equal to three given straight lines, but any two whatever of these must be greater than the third (20.
Strona 184 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Strona 163 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Strona 184 - In right angled triangles the square on the side subtending the right angle is equal to the (sum of the) squares on the sides containing the right angle.