## Practical geometry for art students |

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### Common terms and phrases

adjacent angle equal base Bisect the angle called centre chords circumference complete Construct a triangle curve describe a circle describe a semicircle describe an arc describe arcs diameters distance Divide divisions draw a line Draw diagonals draw lines drawn edge eight ellipse ends equal circles equilateral triangle exercise extremities figure foci four equal GEOMETRY given circle given line given point half horizontal plane inch inscribe inscribe three intersect isosceles triangle Join LESSON major axis Mark measure meet Note parallel pass perpendicular Place plane principles prism Prob Problem Proceed Produce Project proportional pyramid radius radius describe regular hexagon regular polygon represent rhombus right angles round scale shown side similar solid square standing straight line student Take termed touch trapezion vertical plane

### Popular passages

Page 6 - 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 42 - 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 38 - If two circles touch one another internally, the straight line which joins their centres, being produced, shall pass through the point of contact.

Page 6 - 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 6 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.

Page 32 - 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 52 - 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 46 - BDC; therefore the opposite sides and angles of a parallelogram are equal to one another.

Page 14 - When you have proved that the three angles of every triangle are equal to two right angles...

Page 6 - The radius of a circle is a straight line drawn from the centre to the circumference, as O B.