Results 21 to 30 of about 59 (36)

Properties of Ajima Circles

open access: yes, 2023
We study properties of certain circles associated with a triangle. Each circle is inside the triangle, tangent to two sides of the triangle, and externally tangent to the arc of a circle erected internally on the third ...
Rabinowitz, Stanley, Suppa, Ercole
core  

Non-Euclidean Triangle Centers

open access: yes, 2019
Non-Euclidean triangle centers can be described using homogeneous coordinates that are proportional to the generalized sines of the directed distances of a given center from the edges of the reference triangle.
Russell, Robert A.
core  

MGM 531 – Euclidean Geometry [Geometri Euklidan] Jun 2017 [PDF]

open access: yes, 2017
Second Semester Examination Academic Session 2016/2017 June 2017 Duration : 3 ...
PPSM, Pusat Pengajian Sains Matematik
core  

Hilbert's Error?

open access: yes, 2018
It is well known that a center of a given circle cannot be constructed using only a straightedge and that this was proven by David Hilbert. Still it is not so clear what kind of object is proven to be non-existing. We analyze different attempts to define
Shen, Alexander
core   +1 more source

Some new inequalities for triangle [PDF]

open access: yes, 2018
U ovom radu dokazujemo osam novih nejednakosti za trokut. Te nejednakosti se temelje na jednoj dvostrukoj algebarskoj nejednakosti koju dokazujemo u teoremu 1. U dokazima koristimo više raznih jednakosti koje se odnose na elemente trokuta.
Šefket Arslanagić
core   +1 more source

Polygons, conics and billiards [PDF]

open access: yes, 2020
In this expository article we will describe some elementary properties of billiards and Poncelet maps and special attention is dedicated to N-periodic orbits. In general, problems involving billiards are easy to state and under-standing, and difficult or
Garcia, Ronaldo A.
core  

Loci of 3-periodics in an Elliptic Billiard: why so many ellipses?

open access: yes, 2020
We analyze the family of 3-periodic (triangular) trajectories in an Elliptic Billiard. Specifically, the loci of their Triangle Centers such as the Incenter, Barycenter, etc.
Garcia, Ronaldo   +2 more
core  

Pythagorean triangles [PDF]

open access: yes, 2015
Title: Pythagorean triangles Author: Michal Sláma Department: Department of mathematics and mathematical education Supervisor: RNDr. Antonín Jančařík, Ph.D. Abstract: The thesis considers usable problems concerning pythagorean triangles.
Sláma, Michal
core   +2 more sources

A sustainable approach in additive manufacturing with recycled material [PDF]

open access: yes, 2018
LAUREA MAGISTRALELa stampa 3D è un termine per descrivere la tecnologia utilizzata per la produzione rapida di oggetti 3D direttamente dai file CAD (computer aided design).
HAJIFATHALIHA, SARA
core  

Carl Friedrich Geiser and Ferdinand Rudio : the men behind the first International Congress of Mathematicians [PDF]

open access: yes, 2015
The first International Congress of Mathematicians (ICM) was held in Zurich in 1897, setting the standards for all future ICMs. Whilst giving an overview of the congress itself, this thesis focuses on the Swiss organisers, who were predominantly ...
Eminger, Stefanie Ursula
core  

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