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Updated: June 7, 2025
I finally reached the conclusion that mathematics was the study I was best fitted to follow, though I did not clearly see in what way I should turn the subject to account. I knew that Newton's "Principia" was a celebrated book, so I got a copy of the English translation. The path through it was rather thorny, but I at least caught the spirit here and there.
"She is reviewing her Principia; an exercise she repeats every year, without which precaution they might escape from her, and get so far away that she might never find them again.
I had no idea that it would be imbued with sympathy for a boy outside of it who wanted to learn. True, I had once read in some story, perhaps fictitious, how a nobleman had found a boy reading Newton's "Principia," and not only expressed his pleased surprise at the performance, but actually got the boy educated. But there was no nobleman in sight of the backwoods of Nova Scotia.
Admiral Smyth gives the following account of an interview he had with Phillips: 'This pseudo-mathematical knight once called upon me at Bedford, without any previous acquaintance, to discuss "those errors of Newton, which he almost blushed to name," and which were inserted in the "Principia" to "puzzle the vulgar."
The distance of the comet from the center of the sun being to the distance of the earth from the same as 6 to 1,000, the author of the "Principia" asserted that the density of the rays was as 1,000² to 6² = 28,000 to 1; hence the comet was subjected to a temperature of 28,000 × 180°/3 = 1,680,000°, an intensity exactly "2,000 times greater than that of red-hot iron" at a temperature of 840°. The distance of the comet from the solar surface being equal to one-third of the sun's radius, it will be seen that, in accordance with the Newtonian doctrine, the temperature to which it was subjected indicated a solar intensity of
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.
By the way, it is a curious proof of university prejudice, that though the Cambridge men admit my analysis of the "Principia" to be unexceptionable, and to be well calculated for teaching the work, yet, not being by a Cambridge man, it cannot be used!
In other words, commerce, the exchange of commodities, banking, and whatever relates to it, currency, the rise and fall of prices, the rates of profits, are all subject to laws as universal and unerring as those which Newton deduces in the "Principia," or Donald McKay applies in the construction of a clipper ship.
When the royal messenger brought Newton the announcement of the honor bestowed upon him by the Queen, the astronomer was so busy with his studies relating to the "Principia" that he begrudged his visitor even an hour of his time.
On their former companions, Tilly and Laura, from their new perch, could not but look down: the two had masters now for all subjects; Euclid loomed large; Latin was no longer bounded by the First Principia; and they fussed considerably, in the others' hearing, over the difficulties of the little blue books that began: GALLIA EST OMNIS DIVISA IN PARTES TRES.
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