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The main girders rest on the revolving platform, and the ends of the bridge are circular arcs fitting the fixed roadway.

00From these results the mensuration of any figure bounded by circular arcs and straight lines can be determined, e.g.

00He also gave approximate rectifications of circular arcs after the manner of Huygens; and, what is very notable, he made an ingenious and, according to J.

00The framework is attached to two independent circular arcs Cs and rr having their centres at 0 and provided with clamps D and A on the axis F of the instrument.

00in diameter; he substituted equatorial for zodiacal armillae, thus definitively establishing the system of measurements in right ascension and declination; and improved the graduation of circular arcs by adopting the method of " transversals."

00Of practical importance are the following constructions: - (I) Given the axes; (2) given the major axis and the foci; (3) given the focus, eccentricity and directrix; (4) to construct an ellipse (approximately) by means of circular arcs.

00(4) If the axes be given, the curve can be approximately constructed by circular arcs in the following manner: - Let AA', BB' be the axes; determine D the intersection of lines through B and A parallel to the major and minor axes respectively.

00To find the figures of the teeth, draw on a flat surface circular arcs ID1, ID,, with the radii A11, A, I; those arcs will be the developments of arcs of the pitchcircles Bil, B, I, when the conical surfaces AiBf I, A,B~ I are spread out flat.

00

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