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altitude angle equal arc cutting axes axis base border lines bounded called center lines CHICAGO chord circular circumference cone conical Connect construct construction lines curve cycloid cylinder describe diameter director circle distance divide dotted draw arcs Draw the line Draw the straight edge ellipse epicycloid equally distant extremity figures FOCUS formed four Geometrical given given circle Hence hexagon horizontal lines hyperbola hypocycloid inches long included inking inscribed intersection involute joining lateral faces length lettering line AC line drawn locating major axis manner mark measure Method middle point number of equal parabola parallel parallelogram parallelopiped passing pencil perpendicular perpendicular distance plane Plate polygon polyhedron prism Problem Problem 25 Proof pyramid quadrilateral radius equal rectangular right angles rolls Second shown sides sides are equal solid sphere straight line surface T-square taken tangent triangle vertex
Page 52 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 47 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Page 67 - ... as a center, and a radius equal to AM describe short arcs cutting those already drawn as shown at N. With E as a center and a radius equal to LB draw arcs above and below LM as before. With F as a center and a radius equal to BM, draw arcs intersecting those already drawn as shown at O.
Page 69 - O and P, with A. The intersections of the horizontal lines with the oblique lines are points on the curve. For instance, the intersection of AL and the line V is one point and the intersection of AM and the line U is another. The lower part of the curve AD is drawn in the same manner.
Page 44 - Fig. 40, so that the two angles thus formed are equal, the lines are said to be perpendicular to each other and the angles formed are called right angles.
Page 64 - O is equally distant from A, B and C, since it lies in the perpendiculars to the middle points of AB and A C. Hence the circumference will pass through A, B and C. PROBLEM 14. To inscribe a Circle in a given Triangle. Draw the triangle LMN of any convenient size. MN may be made 3^ inches, LM, 2| inches, and LN, 3* inches.
Page 49 - The altitude of a prism is the perpendicular distance between the bases. The area of the lateral faces is called the lateral area.
Page 44 - If one straight line meet another and the angles thus formed are equal they are right angles. When two lines are perpendicular to each other the angles formed are right angles. An acute angle is less than a right angle. An obtuse angle is greater than a right angle. SURFACES. A surface is produced by the motion of a line; it has two dimensions, — length and breadth. A plane figure is a plane bounded on all sides by lines ; the space included within these lines (if they are straight lines) is called...