# A Text Book of Geometrical Drawing: For the Use of Mechanics and Schools, in which the Definitions and Rules of Geometry are Familiarly Explained...

D. Van Nostrand, 1886 - Geometry, Descriptive - 162 pages

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### Contents

 Section 1 3 Section 2 9 Section 3 14 Section 4 24 Section 5 26 Section 6 30 Section 7 49 Section 8 64
 Section 10 64 Section 11 72 Section 12 81 Section 13 103 Section 14 111 Section 15 113 Section 16 117 Section 17 136

### Popular passages

Page 12 - 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...
Page 45 - CVIIf any Prism be cut by a Plane Parallel to its Base, the Section will be equal and Like to the Base. LET AG be any prism, and...
Page 16 - The square of the hypothenuse of a right angled triangle is equal to the sum of the squares of both the other sides. 4th. The square of a number is the product of that number multiplied by itself.
Page 9 - A right-angled triangle (Fig. 24) is any triangle having one right angle. The side opposite the right angle is called the hypotenuse.
Page 128 - When a yellow colour is communicated to dull and coarse surfaces, such as common cloth, felt, or the like, on which it does not appear with full energy, the disagreeable effect alluded to is apparent. By a slight and scarcely perceptible change, the beautiful impression of fire and gold is transformed into one not undeserving the epithet foul ; and the colour of honour and joy reversed to that of ignominy and aversion. To this impression the yellow hats of bankrupts and the yellow circles on the...
Page 43 - E and F are FOCI. 5th. In the foci, stick two pins, then pass a string around them, and tie the ends together at C. 6th. Place the point of a pencil at C, and keeping the string tight, pass it around and describe the curve. NOTE. — The sum of all lines drawn from the foci, to any point in the curve, is always constant and equal to the major axis : thus, the length of the lines E. R, and F. R, added together, is equal to the length of E. C, and F. C, added together, or to two lines drawn from E...
Page 12 - A QUADRANT is a sector whose area is equal to one-fourth of the circle, as fig. 5; the arc D. E being equal to one-fourth of the whole circumference, and the radii at right angles to each other. 12. A DEGREE. — The circumference of a circle is considered as divided into 360 equal parts called DEGREES, (marked °) each degree is divided into 60 minutes (marked ') and each minute into 60 seconds (marked "); thus if the circle be large or small, the number of divisions is always the same, a degree...
Page 143 - ... for the least quantity of saliva which may be taken up by the brush has the effect of clouding and altogether spoiling the wash of colour on the paper. In place of this uncleanly method, the artist should have a piece of blotting-paper at his side — the more absorbent the better.
Page 43 - ... 3rd. If the ends of a cylinder be not at right angles to its axis, it is called an OBLIQUE CYLINDER. 4th. If a cylinder be cut by any plane parallel to its axis, the section will be a parallelogram, as EFG H} fig. 1. 5th. If a cylinder be cut by any plane at right angles to its axis, the section will be a circle. 6th. If a cylinder be cut by any plane not at right angles to its axis, passing through its opposite sides, as at K. L or M. JV, fig.