Winslow's Comprehensive mathematics : being an extensive cabinet of numerical, arithmetical, and mathematical facts, tables, data, formulas, and practical . 372 PATTERN CUTTING. Rule. — Construct a rectangle, A B C D, making A D equalto ^D, and A B and B m each equal to $d. Make B E equal to y/(^Dy-\-h\ and m n equal to V/(^)2 + ^2- Next, with the square in positionE H n, one of theblades cutting thepoints E and D, andthe other cuttingthe point n, drawthe lines E H, H , with the di-viders, find a radius,o B, that will cutthe points B and ??,and with o the cen-tre, describe thear
Winslow's Comprehensive mathematics : being an extensive cabinet of numerical, arithmetical, and mathematical facts, tables, data, formulas, and practical . 372 PATTERN CUTTING. Rule. — Construct a rectangle, A B C D, making A D equalto ^D, and A B and B m each equal to $d. Make B E equal to y/(^Dy-\-h\ and m n equal to V/(^)2 + ^2- Next, with the square in positionE H n, one of theblades cutting thepoints E and D, andthe other cuttingthe point n, drawthe lines E H, H , with the di-viders, find a radius,o B, that will cutthe points B and ??,and with o the cen-tre, describe thearc B n : then will B n H E be the unit measure of the cover,and contain one-fourth part of it, less the allowance, as by the dot-ted lines, for the edge and half the lock. Not ic —When d — \D, h = lk, and F, N, and B o = $S. S and F may befound by Mechanics, as by rule given in Note appended to Prob. 2(J. In prac-tice, if h be taken equal to 3&D, the rise will generally be Of Can-Tops. Can-Tops are simply truncated cones, and the cones themselvesare pitched or bevelled circles. They may be defined in part bytheir pitch, which I shall here define to be the angle of the side ofthe cone to the base; or they may be defined by their bases andperpendicular height. The body of a common tunnel is a two-thirdspitched can-top, or a can-top having a pitch of 60° ; or, in otherwords, it is the frustum of a cone, or pitched circle, whose slantheight was equal to the diameter of the base: it is therefore madeup of a semi-circle whose radius is equal to the greater base ; butcan-tops are rarely pitched as steep as G0°. They may be con-structed in a single piece, and should be when practicable; or theymay be composed of two or more right-sections, as the body of acommon flaring vessel; so they may be pieced transversely, whendesirable, after the manner of piecing a large tunnel. Pkob. 32. — To construct a Can-top of a given Depth and givenDiameters. Hule. — Proce
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Keywords: ., bookcentury1800, bookdecade1870, booksubjectmathematics, bookyear
