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Updated: May 31, 2025
When Plato and Plato's followers wrought out the theory of those Conic Sections, do we imagine that they saw the great truth, now evident, that every whirling planet in the silent spaces, yes, and every falling body on this earth, describes one of these same curves which furnished to those Athenian philosophers what you, my practical friend, stigmatize as idle amusement?
I was much out of health after my husband's death, and chiefly occupied with my children, especially with the one I was nursing; but as I did not go into society, I rose early, and, having plenty of time, I resumed my mathematical studies. By this time I had studied plane and spherical trigonometry, conic sections, and Fergusson's "Astronomy."
Before Euclid, Plato is said to have written over the entrance to his garden, "Let no one enter, who is unacquainted with geometry," and had himself unveiled the geometrical analysis, exhibiting the whole strength and weakness of the instrument, and applying it successfully in the discussion of the properties of the Conic Sections.
No well-organized intellect can fail to perceive that a sublime and immortal Truth underlies these speculations. Undoubtedly, in the straight line, in the conic sections, in the innumerable composite curves of the mathematician, lie the germs of all these symbolic expressions.
Drewyer and J. Fields set out early this morning in conformity to my instructions last evening. they returned at 1/2 after 12 OCk. and informed me that they had proceeded down the river to the place from which I had returned on the of June last and that it was 6 miles distant. they passed the entrance of buffaloe Creek at 2 ms. the course of the river from hence downwards as far as they were is N. 80 E. they killed 8 deer and two Antelopes on their way; most of the deer were large fat mule bucks. having completed my observation of the sun's meridian Altitude we set out, ascended the river hills having passed the river and proceeded through the open plains up the N. side of the river 20 miles and encamped. at 15 miles we passed a large creek on N. side a little above it's entrance; there is but little running water in this creek at present, it's bed is about 30 yds. wide and appears to come from the broken Mountains so called from their raggid and irregular shape there are three of them extending from east to West almost unconnected, the center mountain terminates in a conic spire and is that which I have called the tower mountain they are destitute of timber. from the entrance of this creek they bore N. 10° W. the river bottoms are usually about 1/2 a mile wide and possess a considerable quantity of timber entirely cottonwood; the underbrush is honeysuckle rose bushes the narrow leafed willow and the bush which bears the acid red berry called by the french engages grease de buff. just as we halted to encamp R. Fields killed a mule doe. the plains are beautifull and level but the soil is but thin. in many parts of the plains there are great quantities of prickly pears. saw some herds of buffaloe today but not in such quantities as yesterday, also antelopes, wolves, gees, pigeons, doves, hawks, ravens crows larks sparrows &c. the Curlooe has disappeared.
To have expected the old nurse to take an enlightened view on that point would have been as unreasonable as to have looked for just views in Gillie White on the subject of conic sections. "Why, mother, a man may break a leg or an arm in going down stairs," said the Captain, pursuing the subject; "by the way, that reminds me to ask for Fred Leven.
And look at what Nicholas is after doin'; he's wrote a book, no less." The "Treatise on Conic Sections" created an even stronger sensation than the news of the honorary degree, especially among those who had letters enough to spell out the familiar name on the title-page.
There was to be a lottery; two thousand prizes were to be drawn; and the fortunate holders of the prizes were to be taught, at the charge of the Company, Latin, Greek, Hebrew, French, Spanish, conic sections, trigonometry, heraldry, japanning, fortification, bookkeeping and the art of playing the theorbo.
There was no elaborate system of needle points, Roman and Greek history, plain and spherical trigonometry, political economy, ethics, literature, chemistry, conic sections, music, English history, and mental philosophy, to draw off the electricity within her, nor did she possess the invaluable privilege of being able, after studying a half-crown handbook, to unbosom herself to women of her own age upon the position of Longland as an English poet.
Emblem was sitting fast asleep; joy had made him sleepy; and Iris was at work among her pupils' letters, compiling sums for the Fruiterer, making a paper on Conic Sections for the Cambridge man, and working out Trigonometrical Equations for the young schoolmaster, and her mind full of a solemn exultation and glory, for she was a woman who was loved. The other things troubled her but little.
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