The De Institutione Arithmetica, De Institutione Musica, and the doubtful Geometria (for which see G.
In 1709 he entered the university of Glasgow, where he exhibited a decided genius for mathematics, more especially for geometry; it is said that before the end of his sixteenth year he had discovered many of the theorems afterwards published in his Geometria organica.
In 1719 he published his Geometria organica, sive descriptio linearum curvarum universalis.
In 1721 he wrote a supplement to the Geometria organica, which he afterwards published, with extensions, in the Philosophical Transactions for 1735.
LORENZO MASCHERONI (1750-1800), Italian geometer, was professor of mathematics at the university of Pavia, and published a variety of mathematical works, the best known of which is his Geometria del compasso (Pavia, 1797), a collection of geometrical constructions in which the use of the circle alone is postulated.
This was Lucas Paciolus (Lucas de Burgo), a Minorite friar, who, having previously written works on algebra, arithmetic and geometry, published, in 1494, his principal work, entitled Summa de Arithmetica, Geometria, Proportioni et Proportionalita.
In his famous Geometria (1637), which is really a treatise on the algebraic representation of geometric theorems, he founded the modern theory of analytical geometry (see Geometry), and at the same time he rendered signal service to algebra, more especially in the theory of equations.
The geometrical treatises which have survived (though not interpolated) in Greek are entitled respectively Definitiones, Geometria, Geodaesia, Stereometrica (i.
It appears that Pascal contemplated publishing a treatise De aleae geometria; but all that actually appeared was a fragment on the arithmetical triangle (Traite du triangle arithmetique, " Properties of the Figurate Numbers"), printed in 1654, but not published till 1665, after his death.
He wrote also De Geometria speculativa (Paris, 1530); De Arithmetica practica (Paris, 1502); De Proportionibus (Paris, 1495; Venice, 1505); De Quadratura Circuli (Paris, 1 495); and an Ars Memorativa, Sloane MSS.
The ubi materia ibi geometria of the one is the battle-cry of the mathematico-physical advance.
His Problemas de geometria analitica (1865) and Teorias modernas de la fisica unidad de las fuerzas materiales (1867) are said to be esteemed by competent judges.