## Geometry Sentence Examples

- His life was devoted to the study of higher
**geometry**and reforming the more advanced mathematical teaching of Italy. - The
**geometry**of the rectangular hyperbola is simplified by the fact that its principal axes are equal. - 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. - The "axioms" of
**geometry**are the fixed conditions which occur in the hypotheses of the geometrical propositions. - One paper has Helen demonstrating problems in
**geometry**by means of her playing blocks. - TErpa-, four, Spa, face or base), in
**geometry**, a solid bounded by four triangular faces. - He showed at an early age wellmarked mathematical powers, and his progress was so rapid in arithmetic and
**geometry**that he was soon beyond the guidance not only of his father but of schoolmaster Schulz, who assisted in the mathematical department of his training. - Algebra and
**geometry**were the only studies that continued to defy my efforts to comprehend them. - I am reading the "Iliad," and the "Aeneid" and Cicero, besides doing a lot in
**Geometry**and Algebra. - Under the general heading "
**Geometry**" occur the subheadings "Foundations," with the topics principles of**geometry**, non-Euclidean**geometries**, hyperspace, methods of analytical**geometry**; "Elementary**Geometry**," with the topics planimetry, stereometry, trigonometry, descriptive**geometry**; "**Geometry**of Conics and Quadrics," with the implied topics; "Algebraic Curves and Surfaces of Degree higher than the Second," with the implied topics; "Transformations and General Methods for Algebraic Configurations," with the topics collineation, duality, transformations, correspondence, groups of points on algebraic curves and surfaces, genus of curves and surfaces, enumerative**geometry**, connexes, complexes, congruences, higher elements in space, algebraic configurations in hyperspace; "Infinitesimal**Geometry**: applications of Differential and Integral Calculus to**Geometry**," with the topics kinematic**geometry**, curvature, rectification and quadrature, special transcendental curves and surfaces; "Differential**Geometry**: applications of Differential Equations to**Geometry**," with the topics curves on surfaces, minimal surfaces, surfaces determined by differential properties, conformal and other representation of surfaces on others, deformation of surfaces, orthogonal and isothermic surfaces. - - The range and importance of the scientific labours of Archimedes will be best understood from a brief account of those writings which have come down to us; and it need only be added that his greatest work was in
**geometry**, where he so extended the method of exhaustion as originated by Eudoxus, and followed by Euclid, that it became in his hands, though purely geometrical in form, actually equivalent in several cases to integration, as expounded in the first chapters of our text-books on the integral calculus. - His manual on Graphical Statics and his Elements of Projective
**Geometry**(translated by C. Leudesdorf), have been published in English by the Clarendon Press. - The ancient
**geometry**, as we know it, is a wonderful monument of ingenuity - a series of tours de force, in which each problem to all appearance stands alone, and, if solved, is solved by methods and principles peculiar to itself. - Thus Descartes gave to modern
**geometry**that abstract and general character in which consists its superiority to the**geometry**of the ancients. - The Canonis Descriptio on its publication in 1614, at once attracted the attention of Edward Wright, whose name is known in connexion with improvements in navigation, and Henry Briggs, then professor of
**geometry**at Gresham College, London. - Fortunately, however, Robert Napier had transcribed his father's manuscript De Arte Logistica, and the copy escaped the fate of the originals in the manner explained in the following note, written in the volume containing them by Francis, seventh Lord Napier: "John Napier of Merchiston, inventor of the logarithms, left his manuscripts to his son Robert, who appears to have caused the following pages to have been written out fair from his father's notes, for Mr Briggs, professor of
**geometry**at Oxford. - His writings include: Mathematical Investigations in the Theory of Value and Prices (1892); Elements of
**Geometry**(with A. - While at Oxford Wren distinguished himself in
**geometry**and applied mathematics, and Newton, in his Principia, p. 19 (ed. - In 1664 Sir John Cutler instituted for his benefit a mechanical lectureship of £50 a year, and in the following year he was nominated professor of
**geometry**in Gresham College, where he subsequently resided. - In mathematics, he was the first to draw up a methodical treatment of mechanics with the aid of
**geometry**; he first distinguished harmonic progression from arithmetical and geometrical progressions. - Allman, Greek
**Geometry**from Thales to Euclid (1889); Florian Cajori, History of Mathematics (New York, 1894); M. - 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. - His largest work,Trattato generale di numeri e misure, is a comprehensive mathematical treatise, including arithmetic,
**geometry**, mensuration, and algebra as far as quadratic equations (Venice, 1556, 1560). - But he seems to have been well cared for, and he was at the age of fourteen sufficiently advanced "in algebra,
**geometry**, astronomy, and even the higher mathematics," to calculate a solar eclipse within four seconds of accuracy. - Now
**geometry**deals with points, lines, planes and cubic contents. - Thus the whole method of measurement in
**geometry**as described in the elementary textbooks and the older treatises is obscure to the last degree. - The special nature of the "axioms" which constitute
**geometry**is considered in the article**Geometry**(Axioms). - The special nature of the "axioms" which constitute
**geometry**is considered in the article**Geometry**(Axioms). - In fact, the whole theory of measurement in
**geometry**arises at a comparatively late stage as the result of a variety of complicated considerations. - Under the general heading "
**Geometry**" occur the subheadings "Foundations," with the topics principles of**geometry**, non-Euclidean**geometries**, hyperspace, methods of analytical**geometry**; "Elementary**Geometry**," with the topics planimetry, stereometry, trigonometry, descriptive**geometry**; "**Geometry**of Conics and Quadrics," with the implied topics; "Algebraic Curves and Surfaces of Degree higher than the Second," with the implied topics; "Transformations and General Methods for Algebraic Configurations," with the topics collineation, duality, transformations, correspondence, groups of points on algebraic curves and surfaces, genus of curves and surfaces, enumerative**geometry**, connexes, complexes, congruences, higher elements in space, algebraic configurations in hyperspace; "Infinitesimal**Geometry**: applications of Differential and Integral Calculus to**Geometry**," with the topics kinematic**geometry**, curvature, rectification and quadrature, special transcendental curves and surfaces; "Differential**Geometry**: applications of Differential Equations to**Geometry**," with the topics curves on surfaces, minimal surfaces, surfaces determined by differential properties, conformal and other representation of surfaces on others, deformation of surfaces, orthogonal and isothermic surfaces. - For the subjects under this heading see the articles CONIC SECTIONS; CIRCLE; CURVE; GEOMETRICAL CONTINUITY;
**GEOMETRY**, Axioms of;**GEOMETRY**, Euclidean;**GEOMETRY**, Projective;**GEOMETRY**, Analytical;**GEOMETRY**, Line; KNOTS, MATHEMATICAL THEORY OF; MENSURATION; MODELS; PROJECTION; Surface; Trigonometry. - These headings are: "
**Geometry**and Kinematics of Particles and Solid Bodies"; "Principles of Rational Mechanics"; "Statics of Particles, Rigid Bodies, &c."; "Kinetics of Particles, Rigid Bodies, &c."; "General Analytical Mechanics"; "Statics and Dynamics of Fluids"; "Hydraulics and Fluid Resistances"; "Elasticity." - Between them the general theory of the complex variable, and of the various "infinite" processes of mathematical analysis, was established, while other mathematicians, such as Poncelet, Steiner, Lobatschewsky and von Staudt, were founding modern
**geometry**, and Gauss inaugurated the differential**geometry**of surfaces. - It was during his imprisonment here that, "prive de toute espece de livres et de secours, surtout distrait par les malheurs de ma patrie et les miens propres," as he himself puts it, he began his researches on projective
**geometry**which led to his great treatise on that subject. - De Traytorrens, went through the elements of algebra and
**geometry**, and the three fi r st books of the Marquis de l'Hopital's Conic Sections. - In its charter this institution is described as "an academy for the purpose of promoting piety and virtue, and for the education of youth in the English, Latin and Greek languages, in writing, arithmetic, music and the art of speaking, practical
**geometry**, logic and geography, and such other of the liberal arts and sciences or languages, as opportunity may hereafter permit." - The manuscripts of the
**geometry**of Boetius differ widely from each other. - The first day I had Elementary Greek and Advanced Latin, and the second day
**Geometry**, Algebra and Advanced Greek.