accedaCRIShttps://accedacris.ulpgc.es/jspuiThe accedaCRIS digital repository system captures, stores, indexes, preserves, and distributes digital research material.Sun, 29 Jan 2023 22:12:22 GMT2023-01-29T22:12:22Z5041Proof without words : arithmetic mean of two meanshttp://hdl.handle.net/10553/51601Title: Proof without words : arithmetic mean of two means
Authors: Plaza, Ángel
Abstract: We provide a visual proof that the arithmetic mean of two positive numbers is greater or equal than the arithmetic mean of the geometric mean and the root mean square.
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/10553/516012016-01-01T00:00:00ZProof without words: a Pascal-like triangle with Pell number row sumshttp://hdl.handle.net/10553/51596Title: Proof without words: a Pascal-like triangle with Pell number row sums
Authors: Plaza, Ángel
Abstract: In a Pascal-like triangle, where each entry is the sum of the three numbers above them, we visually prove that the row sums are the Pell numbers, given by a two-step recursion.
Sun, 01 Jan 2017 00:00:00 GMThttp://hdl.handle.net/10553/515962017-01-01T00:00:00ZProof without words: the triangle with maximum area for a given base and perimeterhttp://hdl.handle.net/10553/51598Title: Proof without words: the triangle with maximum area for a given base and perimeter
Authors: Plaza, Ángel
Abstract: By using the ellipse with foci at the extreme points of the base, we show wordlessly that the triangle with maximum area for a given base and perimeter is the isosceles triangle where the different edge is the base.
Sun, 01 Jan 2017 00:00:00 GMThttp://hdl.handle.net/10553/515982017-01-01T00:00:00ZProof without words: sum of a row in Pascal’s trianglehttp://hdl.handle.net/10553/51597Title: Proof without words: sum of a row in Pascal’s triangle
Authors: Plaza, Ángel
Abstract: Using Pascal's identity, we visually demonstrate that the sum of entries in a row of Pascal's triangle is a power of two.
Sun, 01 Jan 2017 00:00:00 GMThttp://hdl.handle.net/10553/515972017-01-01T00:00:00Z