## Practical geometry for art students, Volume 4 |

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### Common terms and phrases

adjacent adjacent angles allel angle equal arc to cut arcs to intersect base Bisect the angle centre G circle to touch circumference Construct a regular Construct a triangle construct an isosceles Construct the plan curve describe a circle describe a semicircle describe an arc describe arcs diagonal 3J distance draw a line draw a tangent Draw diagonals draw lines Draw the diagonals ellipse equilateral triangle erect a perpendicular foci G draw given circle given line given point horizontal plane hypotenuse inch inscribe a square inscribe three equal isosceles triangle Join F Join the points Lesson line A B major axis Mark minor axis Note.—The number of equal parallelogram plan and elevation prism Prob Project pyramid quadrilateral radius describe regular hexagon regular polygon rhombus right angles sides 3J solid square pyramid straight line touch one side trapezion triangular prism vertical plane

### Popular passages

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.