### Contents

 Section 1 44 Section 2 45 Section 3 48

### Popular passages

Page 50 - 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 53 - Cycloid. The cycloid is a curve generated by a point on the circumference of a circle which rolls on a straight line tangent to the circle.
Page 45 - 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 65 - ... 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 67 - 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 42 - 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 62 - 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 47 - The altitude of a prism is the perpendicular distance between the bases. The area of the lateral faces is called the lateral area.
Page 42 - 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...
Page 49 - A cone is a solid bounded by a conical surface and a plane which cuts the conical surface.