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adjacent angle equal arc to cut arcs to intersect Bisect the angle centre G circle to touch circumference construct a regular construct a triangle construct an isosceles curve describe a circle describe a semicircle describe an arc describe arcs diameters distance Dodecagon draw a line draw a tangent Draw diagonals draw lines Draw the diagonals ellipse equal angles equilateral triangle foci four equal circles given angle given circle given line given one side given point given the diagonal given triangle horizontal plane hypotenuse inscribe a square inscribe four equal inscribe three equal isosceles triangle Join G LESSON line A B major axis minor axis number of equal parallelogram perpendicular prism Prob Produce the lines pyramid quadrilateral quatrefoil radii radius describe regular hexagon regular polygon rhombus right angles solid square pyramid three given touch one side touch two sides trapezion triangle similar triangular prism vertical plane
Page 55 - The angles contained by a tangent to a circle, and a chord drawn from the point of contact, are equal to the angles in the alternate segments of the...
Page 41 - If two circles touch each other internally, the straight line which joins their centres, being produced, shall pass through the point of contact.
Page 70 - A CIRCLE is a plane figure, bounded by a curved, line, every point of which is equally distant from a point within, called the centre.
Page 45 - Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their " angles proportionals in such a manner, that a side
Page 11 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 35 - From this it is manifest, that the straight line which is drawn at right angles to the diameter of a circle from the extremity .of it, touches the circle; and that it touches it only in one point, because, if it did meet the circle in two, it would fall within it (2. 3.) ' Also it is evident that there can be but one straight line which touches the circle in the same point.
Page 21 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon...
Page 11 - A Sector is any part of a circle bounded by an arc and its two radii.