The geometry of the rectangular hyperbola is simplified by the fact that its principal axes are equal.

He himself undertook his daughter's education, and to develop these two cardinal virtues in her gave her lessons in algebra and geometry till she was twenty, and arranged her life so that her whole time was occupied.

The following discoveries in geometry are attributed to Thales (I) the circle is bisected by its diameter (Procl.

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Thus the whole method of measurement in geometry as described in the elementary textbooks and the older treatises is obscure to the last degree.

But he failed to obtain either of two posts - the professorships of mathematics at the Royal Military Academy and of geometry in Gresham College - for which he applied in 1854, though he was elected to the former in the following year on the death of his successful competitor.

Two applications of geometry to the solution of practical problems are also attributed to him: - (i) the determination of the distance of a ship at sea, for which he made use of the last theorem; (2) the determination of the height of a pyramid by means of the length of its shadow: according to Hieronymus of Rhodes (Diog.

Meanwhile he was filling his note-books as busily as ever with the results of his studies in statics and dynamics, in human anatomy, geometry and the phenomena of light and shade.

He was elected fellow of Balliol in 1850 and Savilian professor of geometry in 1861, and in 1874 was appointed keeper of the university museum.

She put down the geometry book and eagerly broke the seal of her letter.

At the same time, it delights the pure theorist by the simplicity of the logic with which the fundamental theorems may be established, and by the elegance of its mathematical operations, insomuch that hydrostatics may be considered as the Euclidean pure geometry of mechanical science.