Practical plane and solid geometry, Volume 14 |
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A B C D arcs cutting base A B Bisect centre line circumference cube curved line cut A B cut the circle cut the former cut the side cycloid cylinder diagonal diameter distance divide divisions draw a circle draw a line draw a semicircle draw an arc draw arcs draw lines parallel draw parallels draw perpendiculars draw the envelope draw the plan edge ellipse equal in area equally inclined equilateral triangle frustum given angle given circle given figure given line given point given rectangle given triangle icosahedron intersection Isometrical Projection Join these points length Let A B C lines drawn lines to cut mark number of equal octahedron parabola parallel to A B parallelogram perpendicular to A B Perspective Projection plan and elevation polygon previous figure Projection radii radius ratio right angles shadow shown solid sphere straight line tetrahedron Vernier width
Popular passages
Page 14 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Page 15 - ... is termed a diameter. An arc of a circle is any part of the circumference. A sector of a circle is the space enclosed by two radii and the intercepted arc. When the radii are at right angles, the space is called a quadrant as to one-fourth of a circle. Half a circle is called a semicircle. A chord is a straight line joining the extremities of an arc, as a b.
Page 7 - AQ, at right angles to each other; in which place the sides AB, AC, of the given squares ; join BC ; then a square described on BC will be equal to the sum of the two squares described on AB and AC.
Page 14 - If in a circle two straight lines cut one another, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other.
Page 15 - A segment is any part of a circle bounded by an arc, and its chord, as E, F, G. 50. A semicircle is half the circle, or segment cut off by a diameter.
Page 7 - Art. 361, and divide the arc, ij, into the same number of equal parts as there are to be treads ; through the points of division, 1, 2, 3, &c., and from the wall-string to the front-string, draw lines tending to the centre, o ; then these lines will represent the face of each riser, and determine the form and width of the steps. Allow the necessary projection for the nosing beyond ae...
Page 15 - A Square is a four-sided figure, having all its sides equal, and all its angles right angles; as H.
Page 16 - Thus, to draw a line through a given point parallel to a given line...
Page 16 - The three interior angles of any triangle are together equal to two right angles.
Page 19 - P be the point at which a tangent is to be drawn. Draw the radius OP to the given point of tangency, and produce it any convenient distance beyond the circle. Erect a perpendicular to this line at P, as MT ; then is MT a tangent to the circle (172). FIG.