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A sketch (ultimately from Greek σχέδιος – schedios, "done extempore" [1] [2] [3]) is a rapidly executed freehand drawing that is not usually intended as a finished work. [4] A sketch may serve a number of purposes: it might record something that the artist sees, it might record or develop an idea for later use or it might be used as a ...
Freehand lettering is done without the assistance of tools. To regulate lettering height, commonly 3 mm (1 ⁄ 8-in), guidelines are drawn.Mechanical lettering is done using tools such as lettering guides, templates, or using a small mechanical pantograph referred to by the Keuffel and Esser trademark "Leroy"
An ellipse (red) obtained as the intersection of a cone with an inclined plane. Ellipse: notations Ellipses: examples with increasing eccentricity. In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.
An ellipse can be drawn (by computer or by hand), if besides the center at least two conjugate points on conjugate diameters are known. In this case either one determines by Rytz's construction the vertices of the ellipse and draws the ellipse with a suitable ellipse compass; or uses an parametric representation for drawing the ellipse.
An ellipsograph is a trammel of Archimedes intended to draw, cut, or machine ellipses, e.g. in wood or other sheet materials. An ellipsograph has the appropriate instrument (pencil, knife, router, etc.) attached to the rod. Usually the distances a and b are adjustable, so that the size and shape of the ellipse can be varied.