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Ptolemy's Theorem yields as a corollary a pretty theorem [2] regarding an equilateral triangle inscribed in a circle. Given An equilateral triangle inscribed on a circle and a point on the circle. The distance from the point to the most distant vertex of the triangle is the sum of the distances from the point to the two nearer vertices.
This is a category for any video game where the player controls actions taking place, at least partially, on Mars. The action must take place on the surface Mars itself, not simply in orbit above Mars. This includes any alternate universe Mars, such as after terraforming, or on a seemingly fantasical Mars, as long as it is in relation to Earth.
English: Animated visual proof of Ptolemy's theorem, based on W. Derrick, J. Herstein (2012) Proof Without Words: Ptolemy's Theorem, The College Mathematics Journal, v 43, n 5, p 386 Date 22 May 2022
For four points in order around a circle, Ptolemy's inequality becomes an equality, known as Ptolemy's theorem: ¯ ¯ + ¯ ¯ = ¯ ¯. In the inversion-based proof of Ptolemy's inequality, transforming four co-circular points by an inversion centered at one of them causes the other three to become collinear, so the triangle equality for these three points (from which Ptolemy's inequality may ...
In mathematics, Casey's theorem, also known as the generalized Ptolemy's theorem, is a theorem in Euclidean geometry named after the Irish mathematician John Casey. Formulation of the theorem [ edit ]
Ptolemy's Handy Tables. A collection of astronomical tables originally compiled by Ptolemy. [11] It has often been claimed in modern times that Theon edited this text. [12] However, none of the surviving manuscripts mention Theon, [13] and the evidence suggests that the surviving tables must be very similar to the tables Ptolemy provided.
While the latter imagined some macabre collection of arachnids on the Red Planet, NASA scientists are fixated on finding evidence that microbial life once flourished on the fourth rock from the ...
The game was set to include single-player and team-based missions, using NASA assets such as 3D renders of Mars rovers and telescope images. NASA agreed to provide mission information and expertise, but development costs were set to be paid for by "private investments and corporate sponsorships."