This section is from the book "A Practical Workshop Companion For Tin, Sheet Iron, And Copper Plate Workers", by Leroy J. Blinn. Also available from Amazon: A Practical Workshop Companion For Tin, Sheet Iron, And Copper Plate Workers.
Fig. 29. To describe a Pattern for a Tapering Square Article.
Fig.30. To describe a Pattern for a Square Tapering article, to be in Two Sections.
Erect the perpendicular line EF equal to the Slant height of the articles; draw the line AB at right angle to EF; draw the line CD parallel to AB; make AB equal in length to one side of the base; make CD equal in length to one side of the top or smallest end; draw the lines AC and BD, C and D as centres, with a radii equal to one-half the difference of the two ends, as from B to G; describe the arcs I and H; draw the right angle lines IAJ and HBK; set off JA and KB equal to FB, and draw the lines JL and KM at right angles to JA and KB; also, the lines LC and MD at right angles to LJ and MK.
Edges to be allowed.
Fig. 31. To describe a Pattern for Tapering article, the Base to be Square, and the Top a Circle to be in two Sections.
Erect the perpendicular line NF; draw the line AB at right angle to NF; make EF equal to the Slant height, and draw the line CD parallel to AB; make a AB equal in length to one side of the base; make CD equal in length to one-fourth the circumference of the top, and draw the lines AC and BD, C and D as centres, with a radii equal to one-half the difference of the two ends; describe the arcs I and H, draw the right angle lines IAJ and HBK; set off JA and KB equal to FB, and draw the lines JN and KN at right angles to JA and KB, N as a centre with the radii NE describe the arc LEM.
Edges to be allowed.
Erect the perpendicular line KC, fig. 32; draw the liue AB at right angle to KC; make KC equal to the Slant height, and draw the line DE parallel to AB; make AB equal in length to the longest side of the base; make DE equal in length to one side of the top; draw the lines AD and BE; make CG equal to one-half the shortest side of the base, D and E as centres, with a radii equal to one-half the difference of the top and the shortest side of the base, as from G to F; describe the arcs J and I; draw the right angle lines JAL and IBM; set off AL and BM equal in length to CG, and draw the lines MN and LO at right angle to BM and LA; also, the lines NE and OD at right angle to NM and OL.
Fig. 32. Edges to be allowed.
Erect the perpendicular line DC, fig 33; draw the line AB at right angle to DC; make CE equal to the Slant height, and draw the line FG parallel to AB; make AB equal in length to the longest side of the base; make FG equal in length to one-fourth the circumference of the top; draw the lines AF and BG; make CK equal to one-half the shortest side of the base; erect the line LG parallel to EC, F and G as centres, with the radii KL. Describe the arcs I and H; draw the right angle lines HBN and IAM; set off BN and AM equal in length to CK, and draw the lines MD and ND at right angles to MA and NB, D as a centre with the radii DE, describe the arc OED.
Fig. 33. Edges to be allowed.
Erect the perpendicular line FE, fig. 34; draw the line AB at right angle to FE; make FE equal to the slant height of the article, and draw the line CD parallel to AB; make AB equal in length to the longest side of the base; make CD equal in length to the longest side of the top; draw the lines AC and BD; make GH equal in length to the shortest side of the base; make JI equal in length to the shortest side of the top; draw the line HI, also, erect the line KI parallel to FE, C and D as centres, with the radii HK; describe the arcs M and L; draw the right angle lines LBO, and MAN; set off BO and AN equal in length to EH, and draw the lines QR and NP at right angles to OB and NA; also, the lines RD and PC at right angles to RO and IN.
Fig. 34. Edges to be allowed.
 
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