Practical geometry for art students, Volume 4

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Page 8 - A Circle is a plane figure bounded by a curved line called the circumference, every point of which is equally distant from a point within called the centre ; as ABD E.
Page 44 - 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 40 - If two circles touch one another internally, the straight line which joins their centres, being produced, shall pass through the point of contact.
Page 8 - A chord is a right line joining the extremities of an arc. A segment is any part of a circle bounded by an arc and its chord.
Page 8 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Page 34 - 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 54 - An angle formed by a tangent to a circle and a chord drawn from the point of contact is measured by half the intercepted arc.
Page 48 - BDC; therefore the opposite sides and angles of a parallelogram are equal to one another.
Page 16 - When you have proved that the three angles of every triangle are equal to two right angles...
Page 8 - The radius of a circle is a straight line drawn from the centre to the circumference, as O B.

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