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Updated: April 30, 2025
I cannot do more than merely allude to the treatises on Conic Sections and on Maxima and Minima by Apollonius, who is said to have been the first to introduce the words ellipse and hyperbola. In like manner I must pass the astronomical observations of Alistyllus and Timocharis.
Clark myself the two Interpretters and the woman and child sleep in a tent of dressed skins. this tent is in the Indian stile, formed of a number of dressed Buffaloe skins sewed together with sinues. it is cut in such manner that when foalded double it forms the quarter of a circle, and is left open at one side where it may be attatched or loosened at pleasure by strings which are sewed to its sides to the purpose. to erect this tent, a parsel of ten or twelve poles are provided, fore or five of which are attatched together at one end, they are then elivated and their lower extremities are spread in a circular manner to a width proportionate to the demention of the lodge, in the same position orther poles are leant against those, and the leather is then thrown over them forming a conic figure.
People want to make a fortune out of my poor expedition. 2d. We made a long day of twelve hours, at first between granite rocks for four hours, and then over a sandy plain. This plain was at first scattered with pebbles of granite, but finally it became all sand. The granite rocks were mostly conic in form, and on our right rose one peak at least six hundred feet high.
"I detest the very name of Parliament, and could as soon read Todhunter on Conic Sections as the reports of a debate. Perhaps you're a mathematician?" This with a smile. "By no means," was the reply. "In fact," Casti went on, "I'm afraid you begin to think my interests are very narrow indeed. My opportunities have been small.
But as, unluckily, the world which he visits, and in which we live, is neither a geometric world nor an algebraic world, a world of conic sections or fluxions; but a world of plains and mountains, of lakes and rivers, of men and women, flesh and blood he finds his knowledge of little or no avail.
'Well! asked the old man, with an encouraging smile, 'and how does our pupil like his new 'You mean my conic sections, father? It is hardly fair to expect an unbiased answer in my presence. 'Why so? said Philammon. 'Why should I not tell you, as well as all the world, the fresh and wonderful field of thought which they have opened to me in a few short hours?
Would it not be very hard to expect anyone to solve a problem in conic sections who had merely been taught the axioms and definitions of mathematical science? A workman has to bear hard labour, and perhaps privation, while he sees others rolling in wealth, and feeding their dogs with what would keep his children from starvation.
The handwriting corresponded with that of the papers already received; the blackboard was covered with algebraical symbols traced in chalk, which they were careful not to obliterate; and the papers, which consisted for the most part of detached scraps, presented a perfect wilderness of geometrical figures, conic sections of every variety being repeated in countless profusion.
The Pizarro had orders to touch at the isle of Lancerota, one of the seven great Canary Islands; and at five in the afternoon of the 16th of June, that island appeared so distinctly in view that I was able to take the angle of altitude of a conic mountain, which towered majestically over the other summits, and which we thought was the great volcano which had occasioned such devastation on the night of the 1st of September, 1730.
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