It´s geometry without metric (ruler, protractor, scales etc). Just with pure geometrical contents.
Ex.: questions about planes or lines intersecting points, lines intersecting planes etc are incidence synthetic geometrical questions.
Parts of the Elements of Euclid are synthetic. Hilbert's axioms of Euclidean Geometry are synthetic because you don't need to measure segments or angles, and congruence is a primitive relation.
Birkhoff´s axioms are not synthetic because distance, scale and real numbers belongs to the axioms. You have metric Geometry.
Herbert Busemann has written: 'Recent synthetic differential geometry' -- subject(s): Differential Geometry 'Geometry of Geodesics (Pure & Applied Mathematics)' 'On plane convex figures ..' -- subject(s): Plane Geometry 'The geometry of geodesics' -- subject(s): Curves on surfaces, Differential Geometry, Geodesics (Mathematics)
Euclidean geometry has become closely connected with computational geometry, computer graphics, convex geometry, and some area of combinatorics. Topology and geometry The field of topology, which saw massive developement in the 20th century is a technical sense of transformation geometry. Geometry is used on many other fields of science, like Algebraic geometry. Types, methodologies, and terminologies of geometry: Absolute geometry Affine geometry Algebraic geometry Analytic geometry Archimedes' use of infinitesimals Birational geometry Complex geometry Combinatorial geometry Computational geometry Conformal geometry Constructive solid geometry Contact geometry Convex geometry Descriptive geometry Differential geometry Digital geometry Discrete geometry Distance geometry Elliptic geometry Enumerative geometry Epipolar geometry Euclidean geometry Finite geometry Geometry of numbers Hyperbolic geometry Information geometry Integral geometry Inversive geometry Inversive ring geometry Klein geometry Lie sphere geometry Non-Euclidean geometry Numerical geometry Ordered geometry Parabolic geometry Plane geometry Projective geometry Quantum geometry Riemannian geometry Ruppeiner geometry Spherical geometry Symplectic geometry Synthetic geometry Systolic geometry Taxicab geometry Toric geometry Transformation geometry Tropical geometry
Archimedes - Euclidean geometry Pierre Ossian Bonnet - differential geometry Brahmagupta - Euclidean geometry, cyclic quadrilaterals Raoul Bricard - descriptive geometry Henri Brocard - Brocard points.. Giovanni Ceva - Euclidean geometry Shiing-Shen Chern - differential geometry René Descartes - invented the methodology analytic geometry Joseph Diaz Gergonne - projective geometry; Gergonne point Girard Desargues - projective geometry; Desargues' theorem Eratosthenes - Euclidean geometry Euclid - Elements, Euclidean geometry Leonhard Euler - Euler's Law Katyayana - Euclidean geometry Nikolai Ivanovich Lobachevsky - non-Euclidean geometry Omar Khayyam - algebraic geometry, conic sections Blaise Pascal - projective geometry Pappus of Alexandria - Euclidean geometry, projective geometry Pythagoras - Euclidean geometry Bernhard Riemann - non-Euclidean geometry Giovanni Gerolamo Saccheri - non-Euclidean geometry Oswald Veblen - projective geometry, differential geometry
Synthetic is 100% synthetic. There are blends sold that are part synthetic & regular oil. Look for a quart that sates FULL or 100% Synthetic. If it says Synthetic Blend then it is not 100% Synthetic.Synthetic is 100% synthetic. There are blends sold that are part synthetic & regular oil. Look for a quart that sates FULL or 100% Synthetic. If it says Synthetic Blend then it is not 100% Synthetic.
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