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The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals (1861)

Lardner, Dionysius, 1793-1859 · London : Print. for Taylor and Walton · leaf 308

An illustration from The first six books of the elements of Euclid : with a commentary and geometrical exercises ; to which are annexed a treatise on solid geometry, and short essays on ancient geometrical analysis, and the theory of transversals, 1861, leaf 308
perpendicular to the axis of the cy-linder, the parts of the surfaces interceptedbetween the planes will be equal. Let E F be any arc of the circle described by the radius C E,and let F G be drawnperpendicular to theradius CE. The sur-face of the sphericalsegment describedby the revolution ofthe… … L &90 ELEMENTS OF SOLID GEOMETRY. equal to the surface of a cylinder having the altitude E G, and abase with the lesser radius C A. In the arc E F inscribe a por-tion of a regular polygon E M N OPF, whose sides shall notmeet the arc A B, and draw C I perpendicular to one of thesides of the…

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