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Updated: April 30, 2025
On November 22nd, 1820, he notes in his journal that he had begun Newton's "Principia": he commenced also the study of astronomy by observing eclipses, occultations, and similar phenomena. When he was sixteen we learn that he had read conic sections, and that he was engaged in the study of pendulums.
The disciples of Plato invented conic sections, and discovered the geometrical foci. It was however reserved for Euclid to make his name almost synonymous with geometry. He was born 323 B.C., and belonged to the Platonic sect, which ever attached great importance to mathematics. His "Elements" are still in use, as nearly perfect as any human production can be. They consist of thirteen books.
"No, I lived a good deal with Aristophanes, and a little with Conic Sections and Hydrostatics." Dry company." "More innocent, at least, than moist company. Did you ever get drunk, sir?" "Drunk!" "I tried to do so once with the young companions whom you would commend to me as friends. I don't think I succeeded, but I woke with a headache. Real life at college abounds with headache."
At the age of sixteen he wrote a treatise on conic sections, which was followed by several important discoveries in arithmetic and geometry. His experiments in natural science added to his fame, and he was recognized as one of the most eminent geometricians of modern times.
Though great and good actions may not have been unknown in Alexandria, so few valued them that none took the trouble to record them. The well-paid writers never wrote the lives of the Ptolemies. The muse of history had no seat in the museum, but it was almost the birthplace of anatomy, geometry, conic sections, geography, astronomy, and hydrostatics.
'The third picture from the fireplace; I shall not forget. He picked up the books one by one, commenting on them as he lifted them. 'Conic Sections he does not mind, nor Cycloidal Oscillations, nor the Principia, nor Quaternions, nor Thermodynamics. Now for the book that fetched him! Malcolmson took it up and looked at it. As he did so he started, and a sudden pallor overspread his face.
According to the fundamental canon, a conic section should be a beautiful curve; and the proof that it is so is to be found in the attention which these curves have always drawn upon themselves from artists and from mathematicians. Plato, equally great in mathematics and in metaphysics, is said to have been the first to investigate the properties of the ellipse.
"And yet Melampus told me, only yesterday, that you understood his lesson on conic sections better than many men. Aye, aye, child; I, too, learnt mathematics once, and I still go through various calculations every night in my observatory; but to this day I find it difficult to conceive of a mathematical point. It is nothing and yet it is something. But the great final nothingness!
We halted at this village Dined and purchased five dogs, Some roots Chappalell, Philberds and dried berries of the inhabitents. here I observed Several habitations under ground; they were Sunk about 8 feet deep and covered with Strong timber and Several feet of earth in a conic form. those habitations are avacuated at present. they are about 16 feet diamieter, nearly Circular, and are entered through a hole at top which appears to answer the double purpose of a Chimney and a dore. from this enterance you decend to the flore by a ladder. the present habitations of those people were on the Surface of the ground and do not differ from those of the tribes about the Rapids. their language is the Same with the Che luck kit to quaws. these people appeared very friendly.
To the south of them was a range of some length; of this the twins formed a part. I called it Seymour's Range, and a conic hill at its western end Mount Ormerod. We passed the twins in eleven miles, and found some water in the creek near a peculiar red sandstone hill, Mount Quin; the general course of the creek was south 70 degrees east.
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