Scientific Research Publishing

Euclid’s Fifth Postulate and Convergence of Non-Parallel Straight Lines ()

1 Department of Mathematics and Statistics, Islamic University in Uganda, Mbale, Uganda. 2 Department of Mathematics and Computer Science, University of Gezira, Wad-Medani, Sudan. Euclid’s first four ...
BBC

Angles at the centre and circumference - Higher

More simply, the angle at the centre is double the angle at the circumference. Angle OGH (\(y\)) = angle OHG because triangle GOH is also isosceles. Lengths OH and OG are also both radii. Angle GOH = ...
JSTOR Daily

Proof Without Words: Tangent Double Angle Identity

https://doi.org/10.4169/college.math.j.44.1.047 https://www.jstor.org/stable/10.4169/college.math.j.44.1.047 Summary A visual proof of the tangent double angle ...
Scientific Research Publishing

Wikipedia. Proof of Bertrand’s Postulate.

ABSTRACT: In this paper along with the previous studies on analyzing the binomial coefficients, we will complete the proof of a theorem. The theorem states that for two positive integers n and k, when ...
Nature

Euclidean Geometry

IT is interesting to compare the attitudes of the two most recent writers in English who deal with Euclidean geometry. Sir Thomas Heath, in the second edition of his three-volume translation of the ...