A Text Book of Geometrical Drawing: Abridged from the Octavo Edition : for the Use of Schools in which the Definitions and Rules of Geometry are Familiarly Explained, the Practical Problems are Arranged from the Most Simple to the More Complex, and in Their Description Technicalities are Avoided as Much as Possible : with an Introduction to Isometrical Drawing : and an Essay on Linear Perspective and Shadows ...

Wm. Minifie & Company, 1849 - 156 ページ

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13 ページ - R, (mechanics' squares, if true, are always right angled;) if the sides are nearer together, as S. Q. R, they form an acute angle; if the sides are wider apart, or diverge from each other more than a right angle, they form an obtuse angle, as VQR The magnitude of an angle does not depend on the length of the sides, but upon their divergence from each other ; an angle is said to be...
18 ページ - A Segment is any part of a circle bounded by an arc and its chord. 51. A Semicircle is half the circle, or a segment cut off by a diameter. The half circumference is sometimes called the Semicircle. 52. A...
i ページ - Mechanical Drawing. A Textbook of Geometrical Drawing for the use of Mechanics and Schools, in which the Definitions and Rules of Geometry are familiarly explained; the Practical Problems are arranged from the most simple to the more complex, and in their description technicalities are avoided as much as possible. With illustrations for Drawing Plans, Sections, and Elevations of Railways and Machinery; an Introduction to Isometrical Drawing, and an Essay on Linear Perspective and Shadows.
9 ページ - A. 2. A LINE is considered as length without breadth or thickness, it is in fact a succession of points ; its extremities therefore, are points. Lines are of three kinds ; right lines, curved lines, and mixed lines. 3. A RIGHT LINE, or as it is more commonly called, a straight line, is the shortest that can be drawn between two given points as B. 4. A CURVE or CURVED LINE is that which does not lie evenly between its terminating points, and of which no portion, however small, is straight; it is therefore...
26 ページ - ... angle. Most good practical workmen have several means for getting the cut of the mitre, and to them this demonstration will appear unnecessary, but I have seen many men make sad blunders, for want of knowing this simple rule. PROBLEM 12.
14 ページ - A right-angled triangle (Fig. 24) is any triangle having one right angle. The side opposite the right angle is called the hypotenuse.
60 ページ - ... continually as they are both produced, but which, though ever so far produced, never meets it. 19. If the asymptotes of four opposite hyperbolas cross each other at right angles, the hyperbolas are called right angled or equilaterial hyperbolas. PROPOSITION I. THEOREM.
51 ページ - ... finding the points in the curve is here given: 1. Draw the diameter 8, 8 and from Q the center, draw QB at right angles to 8, 8. 2. With the distance QP from Q, describe an arc O, O representing the position of the center P throughout its entire progress. 3. Divide the semi-circle BD and the quadrants D8 into the same number of equal parts, draw chords from D to 1, 2, 3...
23 ページ - The square of the hypothenuse of a right angled triangle is equal to the sum of the squares of both the other sides.