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The main column of the building consisted of one simple figure, being an elegant frustum of a cone, unbroken by any projecting ornament, or any thing whereon the violence of the storms could lay hold, being, exclusive of its sloping foundation, twenty-two feet eight inches upon its largest circular base; sixty-one feet high above that circular base; and fourteen feet three inches in diameter at the top.
As these could be indefinitely multiplied, there was a temptation to add to them and to use Heron's name. The solids divided in given ratios are the sphere, the pyramid, the cone and a frustum thereof.
Wherefore my thoughts readily turn back to those bright hours of my novitiate, when, retiring to a corner of the garden in recreation time, with a bit of paper on my knees and a stump of pencil in my fingers, I used to practice deducing this or that property correctly from an assemblage of straight lines. The others amused themselves all around me; I found my delight in the frustum of a pyramid.
This gave the base of the hollow cylinder, which would be equal to the frustum of a cone of like altitude; and another multiplication by the length produced the entire cubic content. Dividing by sixty-nine, I got the number of quarts, and so gallons.
They are lodges of the Wacoes, who, it is true, are allies of the Comanches." Such was in reality the fact. The poles, though bent so as to approach each other at the top, did not quite meet, and an open hole remained for the passage of smoke. The lodge, therefore, was not a perfect cone, but the frustum of one; and in this it differed from the lodge of the Comanches.
Toley walked away aft and ordered one of the men to heave the deep-sea lead. The plummet, shaped like the frustum of a cone, and weighing thirty pounds, was thrown out from the side in the line of the vessel's drift. "By the mark sixty, less five," sang out the man when the lead touched the bottom. "I guess that'll do," said the first mate, returning to the quarterdeck.
The Kickapoo lodges are made in an oval form, something like a rounded hay-stack, of poles set in the ground, bent over, and united at top; this is covered with cloths or bark. The Witchetaws, Wacos, Towackanies, and Tonkowas erect their hunting lodges of sticks put up in the form of the frustum of a cone and covered with brush.
This Bishop Faustus is usually styled "The Manichaeum," Augustine having entitled his book, Contra Frustum Manichaeum Libri xxxiii., in which nearly the whole of Faustus' very able work is quoted.
A. There are screws which profess to counteract the centrifugal velocity given to the water by imparting to it an equal centripetal force, the consequence of which will be, that the water projected backward by the screw, instead of taking the form of the frustum of a cone, with its small end next the screw, will take the form of a cylinder.
Of course, when I was taught how to measure a cone, I was also instructed to do the same with the frustum of one. To ascertain the capacity of my butt, therefore, it was only necessary for me to know its length or its half-length would do as well its circumference at either end, and also its circumference around the thickest part or "swell."
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