Constructive Geometry of Plane Curves: With Numerous Examples (Classic Reprint) - Softcover

Inhaltsangabe

Excerpt from Constructive Geometry of Plane Curves: With Numerous Examples

I can say from experience that the practice of sketching a curve freehand through a series of previously found points is a most valuable element in teaching mechanical drawing, while the finding the points furnishes abundant exercise in handling square and compasses, and impresses on the student in a very striking manner the necessity for neatness and accuracy in their use.

Each problem may of course be drawn on paper without reference to the proof of the principle on which its con struction depends, but I consider that for the advanced student at any rate it must be much more satisfactory to work with as complete an insight as possible into the methods he is using instead of groping along by mere rule of thumb, so that in nearly all cases notes in proof of the property made use of have been added, although such proofs may be found in numerous published works, and are indeed so completely common property that I have not thought it necessary to give direct references to the pages from which they have been taken.

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