Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Sadi Abu-Saymeh"'
Publikováno v:
The Mathematical Gazette. 105:397-409
Following Euler, we denote the side lengths and angles of a triangle ABC by a, b, c, A, B, C in the standard order. Any line segment joining a vertex of ABC to any point on the opposite side line will be called a cevian, and a cevian AA′ of length
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8a5388313385ec5309d944a513e7a737
https://doi.org/10.1017/mag.2021.106
https://doi.org/10.1017/mag.2021.106
Autor:
Sadi Abu-Saymeh, Mowaffaq Hajja
Publikováno v:
The Mathematical Gazette. 104:469-481
This article is motivated by, and is meant as a supplement to, the recent paper [1]. That paper proves three geometric characterisations of triangles whose sides are in arithmetic progression, or equivalently triangles in which one of the sides is th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::993ea7159f593c5f9b48c38c044e1186
https://doi.org/10.1017/mag.2020.101
https://doi.org/10.1017/mag.2020.101
Autor:
Mowaffaq Hajja, Sadi Abu-Saymeh
Publikováno v:
The Mathematical Gazette. 104:49-62
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d16da1965551d8d039b248807ce77619
https://doi.org/10.1017/mag.2020.7
https://doi.org/10.1017/mag.2020.7
Autor:
Mowaffaq Hajja, Sadi Abu-Saymeh
Publikováno v:
The Mathematical Gazette. 103:401-408
A convex quadrilateral ABCD is called circumscriptible or tangential if it admits an incircle, i.e. a circle that touches all of its sides. A typical circumscriptible quadrilateral is depicted in Figure 1, where the incircle of ABCD touches the sides
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f98c8f22a32169502a4cda550453fce
https://doi.org/10.1017/mag.2019.100
https://doi.org/10.1017/mag.2019.100
Autor:
Sadi Abu-Saymeh, Mowaffaq Hajja
Publikováno v:
The Mathematical Gazette. 103:1-11
The celebrated Steiner-Lehmus theorem states that if the internal bisectors of two angles of a triangle are equal, then the triangle is isosceles. In other words, if P is the incentre of triangle ABC, and if BP and CP meet the sides AC and AB at B′
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6da750047ba7e6ad105adbb9e790e31
https://doi.org/10.1017/mag.2019.1
https://doi.org/10.1017/mag.2019.1
Publikováno v:
Journal of Geometry. 103:1-16
Propositions 24 and 25 of Book I of Euclid’s Elements state the fairly obvious fact that if an angle in a triangle is increased (without changing the lengths of its arms), then the length of the opposite side increases. In less technical terms, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de04296ca140ca7997f248a90fb94da9
https://doi.org/10.1007/s00022-012-0116-4
https://doi.org/10.1007/s00022-012-0116-4
Autor:
Mowaffaq Hajja, Sadi Abu-Saymeh
Publikováno v:
Results in Mathematics. 52:1-16
In this paper, we consider Archimedes’ arbelos and the two identical Archimedean circles it contains, and we explore possible generalizations to three-dimensional Euclidean space. Thinking of the line segment joining the centers of the two smaller
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5e13c896d29a6883b42f1d62a82db02
https://doi.org/10.1007/s00025-008-0292-6
https://doi.org/10.1007/s00025-008-0292-6
Autor:
Sadi Abu-Saymeh, Mowaffaq Hajja
Publikováno v:
International Journal of Mathematical Education in Science and Technology. 36:889-912
A point E inside a triangle ABC can be coordinatized by the areas of the triangles EBC, ECA, and EAB. These are called the barycentric coordinates of E. It can also be coordinatized using the six segments into which the cevians through E divide the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd3f387d824ec0b51f88a99c0bdeea29
https://doi.org/10.1080/00207390500137928
https://doi.org/10.1080/00207390500137928
Autor:
Mowaffaq Hajja, Sadi Abu-Saymeh
Publikováno v:
Mathematics Magazine. 70:372-378
(1997). On the Fermat-Torricelli Points of Tetrahedra and of Higher Dimensional Simplexes. Mathematics Magazine: Vol. 70, No. 5, pp. 372-378.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e25ca0d844901a15d612f1c35d20b9af
https://doi.org/10.1080/0025570x.1997.11996577
https://doi.org/10.1080/0025570x.1997.11996577
Autor:
Sadi Abu-Saymeh
Publikováno v:
Communications in Algebra. 23:1131-1144
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::82ae30ac4338c7e0bad0c1ac052f8ff8
https://doi.org/10.1080/00927879508825270
https://doi.org/10.1080/00927879508825270