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Updated: May 1, 2025
The Italian Cavalleri had, before this, published his "Geometry of Indivisibles," and fully established his theory in the "Exercitationes Mathematicae," which appeared in 1647.
Signor Pietro Rittig, of Coblenz, having called their attention to one of his pictures in the museum of modern painters, entitled "Students in the Academy of Painting," they bought it, together with several others, namely, "A Greek Girl," by Isidore; "A Buffalo," by Linden; "A Mandolino," by Cavalleri; "Two Peasants," by Pelletti, and others.
Led to these considerations by various problems of unusual difficulty proposed by the great Kepler, who appears to have introduced infinitely great and infinitely small quantities into mathematical calculations for the first time, in a tract on the measure of solids, Cavalleri enounced the principle, that all lines are composed of an infinite number of points, all surfaces of an infinite number of lines, and all solids of an infinite number of surfaces.
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