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The builder & workman's new director : comprehending definitions and descriptions of the component parts of buildings. the principles of construction and the geometrical development of the principal difficulties that usually occur in the different branches of mechanical professions employed in the erection of edifices (1824)

Nicholson, Peter, 1765-1844, author · [London] : John Day, Mark King, James Pringle, Henry Joll, Edward Sanders, Robert Johnson, William Foster, John Wright & Thomas Prosser · leaf 228

An illustration from The builder & workman's new director : comprehending definitions and descriptions of the component parts of buildings. the principles of construction and the geometrical development of the principal difficulties that usually occur in the different branches of mechanical professions employed in the erection of edifices, 1824, leaf 228
142 DEVELOPEMENT OF THE SURFACES OF SOLIDS. PROBLEM IX. To find the developement of the curved surface of the sectroid of the frustum of a cone, the radial section of the frustum and its base being given, without completing the radial section of the entire cone. Let ABHD be the radial section, and… … of which the radial section is DKI, and the base of the sectroid KDL. Join Dr, and produce Dr to F. Make DF equal to as many times Dr as DA contains DK ; therefore, since DA in this instance is three times DK, make DF equal to three times Dr. Bisect Dr in x, and DF in t, and draw xs and tU each…

Architecture · Building · Perspective

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