# American Text-Books of Art Education; Teachers' Manual Volume 1

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## Description

This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1880 edition. Excerpt: ...these units. A square will contain four of them, and all are arranged precisely alike with regard to the centre; and when so arranged they form the figure of a cross. This principle of repetition about a centre can be applied in all the regular geometric form?; and a unit can be drawn within a figure as many times as the figure has equal sides. Directions.--Stage 1. Light lines. Construct a square on its diagonals, using the points given. Divide each side of the square into four equal parts, --that is, quadrisect it, --and then sketch the diameters of the square. Quadrisect the diameters, and then sketch a vertical line from the division on the left side nearest the upper angle of the square, to the nearest point of division on the diameter below. Stage 2. Consider the four lines--the semi-diagonals--which extend from the centre to the corners of the square as axes of symmetry for the units. Having drawn a line at the left of the upper vertical semi-diagonal, another, to preserve its symmetry, must be added at the right. Sketch the line at the right. A figure, symmetrical upon an axis, is placed within one corner of the square, as at A. But this figure now disturbs the symmetry of the square, and In order that the symmetry of the entire square may be restored, this same figure must be repeated in every corner, making the drawing appear as If the figure were placed about the centre of the square in four directions, as at B. In the remaining angles of the square, sketch the figure just sketched in the upper angles. Stage 3. Finish the figure by lining in all lines except the diagonals and diameters, and the two inner fourths of each side of the square. Exercise XXVI. Squares and Four-Pointed Star. The object of this Exercise is--To give.show more

## Product details

• Paperback | 48 pages
• 189 x 246 x 3mm | 104g
• United States
• English
• black & white illustrations
• 1236755405
• 9781236755407