On a characterization of the Euclidean sphere
J. Witkowski (1963)
Annales Polonici Mathematici
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Displaying similar documents to “On the derivation of the non-Euclidean angle of parallelism function.”
On a characterization of the Euclidean sphere
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Euclidean superpythagorean geometry.
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Weiss, Gunter, Nestler, Karla, Meinl, Gert (1999)
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Roland Coghetto (2014)
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We calculate the values of the trigonometric functions for angles: [XXX] , by [16]. After defining some trigonometric identities, we demonstrate conventional trigonometric formulas in the triangle, and the geometric property, by [14], of the triangle inscribed in a semicircle, by the proposition 3.31 in [15]. Then we define the diameter of the circumscribed circle of a triangle using the definition of the area of a triangle and prove some identities of a triangle [9]. We conclude by...
Chord-decreasing homeomorphisms in Euclidean spaces
M. Rochowski (1977)
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Circumcenter, Circumcircle and Centroid of a Triangle
Roland Coghetto (2016)
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We introduce, using the Mizar system [1], some basic concepts of Euclidean geometry: the half length and the midpoint of a segment, the perpendicular bisector of a segment, the medians (the cevians that join the vertices of a triangle to the midpoints of the opposite sides) of a triangle. We prove the existence and uniqueness of the circumcenter of a triangle (the intersection of the three perpendicular bisectors of the sides of the triangle). The extended law of sines and the formula...
On the order of the points of the n - dimensional Euclidean space
F. Previale (1962)
Fundamenta Mathematicae
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