New: geometryAll contenthive-129948hive-196917krhive-185836steemzzanhive-183959photographyhive-150122hive-180932hive-166405hive-188619hive-184714hive-183397hive-145157hive-144064hive-101145uncommonlabhive-103599hive-193186bitcoinkrsuccesshive-193637hive-180301hive-181136TrendingNewHotLikersharlotscurse (65)in euclid • 7 months agoEuclid’s Proposition 1:8The Elements of Euclid - Part 1 The eighth proposition of Book 1 of Euclid’s Elements is another theorem about triangles: Greek English ᾿Εὰν δύο τρίγωνα τὰς δύο πλευρὰς…harlotscurse (65)in euclid • 9 months agoEuclid’s Proposition 1:7The Elements of Euclid - Part 1 In Richard Fitzpatrick’s translation the seventh proposition of Book 1 of Euclid’s Elements reads: Greek English ̓Επὶ τῆς αὐτῆς εὐθείας…harlotscurse (65)in euclid • 10 months agoEuclid’s Proposition 1:6The Elements of Euclid - Part 1 The sixth proposition of Book 1 of Euclid’s Elements is the converse of the first part of Proposition 1:5 (If a given triangle is an isosceles…harlotscurse (65)in euclid • last yearEuclid’s Proposition 1:5The Elements of Euclid - Part 1 The fifth proposition of Book 1 of Euclid’s Elements proves two things about isosceles triangles. The first of these is probably the best known…harlotscurse (65)in euclid • last yearEuclid’s Proposition 1:4The Elements of Euclid - Part 1 Book 1 of Euclid’s Elements opens with three constructions. The fourth proposition is the first true theorem. Greek English ̓Εὰν δύο…harlotscurse (65)in euclid • last yearEuclid’s Proposition 1:3The Elements of Euclid - Part 1 Book 1 of Euclid’s Elements opens with three constructions. The third of these demonstrates how to cut off from the longer of two given line segments…harlotscurse (65)in euclid • last yearEuclid’s Proposition 1:2The Elements of Euclid - Part 1 Book 1 of Euclid’s Elements opens with three constructions. The second of these demonstrates how to construct a line segment which is equal in length…harlotscurse (65)in euclid • last yearEuclid’s Proposition 1:1The Elements of Euclid - Part 1 Book 1 of Euclid’s Elements opens with three constructions. The first of these, Proposition 1:1, demonstrates how to construct an equilateral…artelita (46)in artelita • 2 years agoGeometría decorativaGeometría decorativa es un concepto artístico que busca embellecer áreas interiores y exteriores Decorative geometry is an artistic concept that seeks to beautify interior and exterior areasharlotscurse (65)in euclid • 2 years agoThe Propositions of Book 1The Elements of Euclid - Part 1 Book 1 of Euclid’s Elements contains 48 propositions. These can be divided into two broad categories: Theorems Constructions A…mes (67)in hive-196037 • 2 years agoTransformations of Functions Part 2: Horizontal Stretching and ReflectingIn this video tutorial I explain how you can transform functions horizontally by stretching them or compressing them. Also, reflection of functions in the y-axis and x-axis is shown. This is very…mes (67)in hive-196037 • 2 years agoParallel and Non-Parallel Planes + ExampleIn this video I go over parallel and non-parallel planes and go over an example on finding the angle between two non-parallel planes. Two planes are parallel if their normal vectors are parallel. If…mes (67)in hive-196037 • 2 years agoLinear Equation of a Plane + ExamplesIn this video I go over the linear equation of a plane, which involves rewriting and simplifying the scalar equation of a plane. I do this by starting with the scalar equation of a plane and then…mes (67)in hive-196037 • 2 years agoVector and Scalar Equations of a PlaneIn this video I go over planes in 3D and derive the vector equation of a plane and then convert that into scalar equations of a plane. A plane can be described by a point on the plane and a vector…harlotscurse (65)in euclid • 2 years agoOther Common NotionsThe Elements of Euclid - Part 1 As we have seen, Book 1 of Euclid’s Elements lists five Common Notions: axioms that are shared by geometry and several other branches of logic and…harlotscurse (65)in euclid • 2 years agoEuclid: Common Notion 5The Elements of Euclid - Part 1 In Book 1 of Euclid’s Elements , the fifth of the Five Common Notions reads (Fitzpatrick 7): Greek English εʹ. Καὶ τὸ ὅλον τοῦ μέρους…mes (67)in hive-196037 • 2 years agoExamples on SpheresIn this video I go over two examples involving spheres. The first example involves completing the square in simplifying an equation to that of the standard equation of a sphere. The second example…mes (67)in hive-196037 • 2 years agoEquation of a SphereIn this video I go over the equation of a sphere by utilizing the distance formula in 3D I solved earlier. A sphere is by definition just the set of all points whose distance from a particular point…mes (67)in hive-196037 • 2 years agoDistance Formula in 2D and 3D and Their ProofsIn this video I prove the distance formula between 2 points in both two and three dimensions. The distance formula in 2D is readily derived using the Pythagorean theorem. In 3D we can extend the 2D…mes (67)in hive-196037 • 2 years agoGraphing the y = x Plane in 3D CoordinatesIn this video I go over a short example on graphing the equation y = x in three dimensions. The surface is just a vertical plane that is split directly between the x- and y-axes. This video was…
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