From a given point without a circle, to draw a tangent to that circle.
To describe, on a given line, a segment of a circle capable of containing a given angle.
To make surveys for plans. (Lever des plans.)
Tracing a straight line on the ground.—Measuring that line with the chain.
Measuring angles with the graphometer.—Description of it.
Drawing the plan on paper.—Scale of reduction.—Use of the rule, the triangle, and the protractor.
To determine the distance of an inaccessible object, with or without the graphometer.
Three points, A, B, C, being situated on a smooth surface and represented on a map, to find thereon the point P from which the distances AB and AC have been seen under given angles. “The problem of the three points.” “The Trilinear problem.”
Of the contact and of the inter of circles.
Two circles which pass through the same point of the right line which joins their centres have in common only that point in which they touch; and reciprocally, if two circles touch, their centres and the point of contact lie in the same right line.