This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 Excerpt: ... 2- odd points; that the reciprocal of a figure which can be exhausted by one linear traverse cannot always be exhausted by one such traverse, and conversely that if a figure cannot be so exhausted its reciprocal sometimes may be. A single circuit always reciprocates into a circuit, but this is not necessary for a ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1905 Excerpt: ... 2- odd points; that the reciprocal of a figure which can be exhausted by one linear traverse cannot always be exhausted by one such traverse, and conversely that if a figure cannot be so exhausted its reciprocal sometimes may be. A single circuit always reciprocates into a circuit, but this is not necessary for a complex circuit. A complex circuit consists of a single circuit with accessory single circuits ( 7). Consider then the complex circuit formed by the triangle ACB and the triangle DEF, the point D being upon CB and between C and B. The reciprocal may be of the type in Fig. 2, and therefore also a complex circuit. But though the line (D) must pass through the point (B C), this point need not fall upon (DE) (DF), but may fall outside it as in the type of Fig. 3. See the figure in 53. This figure is not a circuit, but it can be exhausted by one traverse, for it has only two odd points, (BQ and (DE). Next let the triangles meet at one angular point only, as the triangles A BC and CDE. Fig. 4. Fig. 5. Fig. 6. The reciprocal of Fig. 4 may be of the kind shewn in Fig. 5. If AC and CE are in the same straight line, the points (AC) and (CE) coincide, and (DC) and (CB) coincide if the lines DC and CB are in the same straight line, as in Fig. 6. Here again the reciprocal is not a circuit, but being a figure with two odd points can be exhausted by one traverse. Next let one side, A B, of one triangle A BC be intersected by the sides of the other DE Fin the points X and Y. The reciprocals of the two triangles need not have intersecting sides, as is shewn in the figure, where poles and polars are taken with respect to the circle inscribed in ABC. And in any case the reciprocal figure has two odd points, the intersection of the lines (D), (X) an...
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Add this copy of On the Traversing of Geometrical Figures to cart. $38.96, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2019 by Wentworth Press.
Add this copy of On the Traversing of Geometrical Figures to cart. $48.00, good condition, Sold by Common Crow Books rated 5.0 out of 5 stars, ships from Pittsburgh, PA, UNITED STATES, published 1905 by University of Oxford.
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Seller's Description:
Good. No Jacket. 153 pps. Good blue cloth edition. Gilt titles on spine. Includes: figures, appendix, list of errata and an addendum. Signed by author with his initials. 6" X 9"
