Practical geometry for art students

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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 11 - 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 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.
Page 11 - A rhombus has all its sides equal, but its angles are not right angles.

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