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Updated: May 26, 2025
And he practised not one branch of art only, but all those in which drawing played a part; and having an intellect so divine and marvellous that he was also an excellent geometrician, he not only worked in sculpture, making in his youth, in clay, some heads of women that are smiling, of which plaster casts are still taken, and likewise some heads of boys which appeared to have issued from the hand of a master; but in architecture, also, he made many drawings both of ground-plans and of other designs of buildings; and he was the first, although but a youth, who suggested the plan of reducing the river Arno to a navigable canal from Pisa to Florence.
I would have you so good a geometrician as to know your own centre. Did you ever yet measure your everlasting self, the length of your life, the breadth of your love, the depth of your wisdom & the height of your light? Let Truth be your centre, & you may do it, otherways not.
She nodded her head with one of those sudden gestures whose graceful vivacity is not to be translated into words. "My good friend, don't go away," cried the geometrician. "This is my wife!" I bowed for the second time! Oh, Coulon! Why wert thou not present to applaud the only one of thy pupils who understood from that moment the expression, "anacreontic," as applied to a bow?
Reid, "makes its combs so geometrically, the geometry is not in the bee, but in that great Geometrician who made the bee, and made all things in number, weight, and measure." Since the animal is not conscious of the intelligence and design which are manifested in its instincts, which it obeys and works out, the conscious life of the individual must be wholly a life within the senses.
All that which seems positive to the physicist and to the geometrician would become, from this new point of view, an interruption or inversion of the true positivity, which would have to be defined in psychological terms.
But as soon as Gallus had begun to explain, in a most scientific manner, the principle of this machine, I felt that the Sicilian geometrician must have possessed a genius superior to anything we usually conceive to belong to our nature.
This opinion regarding Eratosthenes, that he was more of a geometrician than a geographer, seems to be confirmed by the testimony of Marcian of Heraclia, who informs us, that Eratosthenes took the whole work of Timosthenes, preface and all, as it stood, and in the very same words.
"Newton? oh, ah! I don't know the name," said Jonathan. "Newton, a great geometrician," Porriquet went on, "once sat for twenty-four hours leaning his elbow on the table; when he emerged from his musings, he was a day out in his reckoning, just as if he had been sleeping. I will go to see him, dear lad; I may perhaps be of some use to him." "Not for a moment!" Jonathan cried.
But Archimedes and his machines cared nothing for this, though he did not speak of any of these engines as being constructed by serious labour, but as the mere holiday sports of a geometrician.
Blessed, however, with a heart, gifted with a mind such as described, man will surely discover this rara avis: thus constituted, the attentive philosopher, the geometrician, the moralist, the politician, the theologian himself, when he shall sincerely seek truth, will find that the corner-stone which serves for the foundation of all superstitious systems, is evidently rested upon fiction.
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