“As to writing another book on geometry [to replace Euclid] the middle ages would have as soon thought of composing another New Testament.” WritingBookAgeScienceMiddleTestamentMiddle AgesNew TestamentGeometryComposingEuclid Author:Augustus De Morgan
“Considerable obstacles generally present themselves to the beginner, in studying the elements of Solid Geometry, from the practice which has hitherto uniformly prevailed in this country, of never submitting to the eye of the student, the figures on whose properties he is reasoning, but of drawing perspective representations of them upon a plane. ...I hope that I shall never be obliged to have recourse to a perspective drawing of any figure whose parts are not in the same plane.” CountryEyeSciencePracticeStudyFiguresStudentsPerspectiveElementsPropertyObstaclesDrawingPlanesReasoningRepresentationObligedGeometryBeginnersRecourse Author:Augustus De Morgan
“In right-angled triangles the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.” ScienceSidesEqualSquaresAngleGeometryContainingTriangles Book:Elements of Geometry, Containing the First Six Books of Euclid Source: Elements of Geometry, Containing the First Six Books of Euclid
“Metrical geometry is thus a part of descriptive geometry, and descriptive geometry is all geometry.” ScienceGeometry Author:Arthur Cayley
“That wee have of Geometry, which is the mother of all Naturall Science, wee are not indebted for it to the Schools.” SchoolScienceMotherGeometryIndebted Book:Leviathan Source: Leviathan
“The best that Gauss has given us was likewise an exclusive production. If he had not created his geometry of surfaces, which served Riemann as a basis, it is scarcely conceivable that anyone else would have discovered it. I do not hesitate to confess that to a certain extent a similar pleasure may be found by absorbing ourselves in questions of pure geometry.” IfsMayScienceCertainFoundGivenPleasurePureBasesProductionsSurfaceExclusiveGeometryAbsorbingRiemann Author:Albert Einstein
“The Hypotenuse has a square on, which is equal Pythagoras instructed, to the sum of the squares on the other two sides If a triangle is cleverly constructed.” IfsTwoScienceSidesEqualSquaresGeometryTwo SidesTriangles Author:Richard Digance
“The only royal road to elementary geometry is ingenuity.” ScienceRoyalGeometryIngenuity Author:Eric Temple Bell