Non Posse Suaviter Vivi Secundum Epicurum

But now these appertain all solely to the mind. But they chase away from them the delights that accrue from the mathematics also. Though the satisfactions we receive from history have in them something simple and equal, but those that come from geometry, astronomy, and music inveigle and allure us with a sort of nimbleness and variety, and want nothing that is tempting and engaging; their figures attracting us as so many charms, whereof whoever

hath once tasted, if he be but competently skilled, will run about singing that in Sophocles,

I’m mad; the Muses with new rage inspire me.

I’ll mount the hill; my lyre, my numbers fire me.

[*](From the Thamyras of Sophocles, Frag. 225.)

Nor doth Thamyras break out into poetic raptures upon any other score; nor, by Jove, Eudoxus, Aristarchus, or Archimedes. And when the lovers of the art of painting are so enamored with the charmingness of their own performances, that Nicias, as he was drawing the Evocation of Ghosts in Homer, often asked his servants whether he had dined or no, and when King Ptolemy had sent him threescore talents for his piece, after it was finished, he neither would accept the money nor part with his work; what and how great satisfactions may we then suppose to have been reaped from geometry and astronomy by Euclid when he wrote his Dioptrics, by Philippus when he had perfected his demonstration of the figure of the moon, by Archimedes when with the help of a certain angle he had found the sun’s diameter to make the same part of the largest circle that that angle made of four right angles, and by Apollonius and Aristarchus who were the inventors of some other things of the like nature? The bare contemplating and comprehending of these now engender in the learners both unspeakable delights and a marvellous height of spirit. And it doth in no wise beseem me, by comparing with these the fulsome debauchees of victualling-houses and stews, to contaminate Helicon and the Muses,—

Where swain his flock ne’er fed,

Nor tree by hatchet bled.

[*](Eurip. Hippol. 75.)

But these are the verdant and untrampled pastures of ingenious bees; but those are more like the mange of lecherous boars and he-goats. And though a voluptuous temper of mind be naturally fantastic and precipitate, yet never any yet sacrificed an ox for joy that he had gained his will of his mistress; nor did any ever wish to die immediately, might he but once satiate himself with the costly dishes and comfits at the table of his prince. But now Eudoxus wished he might stand by the sun, and inform himself of the figure, magnitude, and beauty of that luminary, though he were, like Phaethon, consumed by it. And Pythagoras offered an ox in sacrifice for having completed the lines of a certain geometric diagram; as Apollodotus tells us,

When the famed lines Pythagoras devised,

For which a splendid ox he sacrificed.

Whether it was that by which he showed that the [square of the] line that regards the right angle in a triangle is equivalent to the [squares of the] two lines that contain that angle, or the problem about the area of the parabolic section of a cone. And Archimedes’s servants were forced to hale him away from his draughts, to be anointed in the bath; but he notwithstanding drew the lines upon his belly with his strigil. And when, as he was washing (as the story goes of him), he thought of a manner of computing the proportion of gold in King Hiero’s crown by seeing the water flowing over the bathing-stool, he leaped up as one possessed or inspired, crying, I have found it (εὕρηκα); which after he had several times repeated, he went his way. But we never yet heard of a glutton that exclaimed with such vehemence, I have eaten, or of an amorous gallant that ever cried, I have kissed, among the many millions of dissolute debauchees that both this and preceding ages have produced. Yea, we abominate those that make mention of their great suppers with too luscious a gust, as men overmuch taken with mean and abject delights. But we find ourselves in one and the same ecstasy with Eudoxus, Archimedes, and Hipparchus; and we readily give assent to Plato when he saith of the mathematics, that while ignorance and unskilledness make men despise them, they still thrive notwithstanding by reason of their charming ness, in despite of contempt.