In the Greek mathematical periodical Diastasis [=dimension] #3-4, 1998, pp. 24-37, I read the article by Nikos Kyriazis: A New Geometry Theorem and its more...
1093
Bernard Gibert
b.gibert@...
Jul 2, 2000 3:14 am
Dear friends, ... The triangle A'A'bA'c is the pedal triangle of A' and is in perpective with ABC therefore A' belongs to the Darboux cubic (isogonal cubic...
1094
xpolakis@...
Jul 2, 2000 3:52 pm
The following problem appeared in a French math. periodical(*), but I have rephrased it: The altitudes BB', CC' of a triangle ABC intersect the perpendiculars ...
1095
xpolakis@...
Jul 2, 2000 10:43 pm
Subject: Saccheri Quadrilaterals From: lance_g@... Date: Sun, 02 Jul 2000 02:29:24 GMT Newsgroups: sci.math Could someone please tell me where I can...
1096
Jean-Pierre.EHRMANN
Jean-Pierre.EHRMANN@...
Jul 2, 2000 11:01 pm
... De : <xpolakis@...> À : <hyacinthos@egroups.com> Envoyé : dimanche 2 juillet 2000 17:52 Objet : [EMHL] Another point Dear Antreas and other...
1097
Edward Brisse
ebcfgl@...
Jul 2, 2000 11:43 pm
... There is a very short info on the Saccheri quadrilateral p. 175 "Euclidean and non-euclidean geometry an analytic approach by Patrick J. Ryan" Cambridge...
1098
Quim Castellsaguer
qcastell@...
Jul 3, 2000 8:38 am
Look at "Geometry. A metric approach with models" by Richard S. Millman and Geogre D. Parker, Springer, Undergraduate Texts in Mathematics...
1099
Edward Brisse
ebcfgl@...
Jul 3, 2000 10:51 am
There is a site dedicated to neutral and non-euclidean geometries at http://www.math.uncc.edu/~droyster/math3181/notes/hyprgeom/hyprgeom.html...
1100
xpolakis@...
Jul 3, 2000 11:31 am
... Dear Jean-Pierre, How about: Another point = An Other Than The One-In-My-Previous-Message Point ? (the point in my previous message was: de Longchamps...
1101
John Conway
conway@...
Jul 3, 2000 3:19 pm
On Mon, 3 Jul 2000, Jean-Pierre.EHRMANN wrote: ... This was what I got, after correcting the mistaken algebra of my immediate reply to Antreas's message....
1102
xpolakis@...
Jul 3, 2000 5:08 pm
... The story of this problem is this: In the column "QUESTION PROPOSEE" of "L'education mathematique" 50(1947-8) p. 112, A. [typo: read V. instead of A.]...
1103
Jean-Pierre.EHRMANN
Jean-Pierre.EHRMANN@...
Jul 3, 2000 5:15 pm
... De : "John Conway" <conway@...> À : "Jean-Pierre.EHRMANN" <Jean-Pierre.EHRMANN@...> Cc : "Hyacinthe" <Hyacinthos@egroups.com> ...
1104
Paul Yiu
yiu@...
Jul 3, 2000 5:23 pm
Dear Antreas, Just a quick remark: ... D' is on the nine-point circle. Best regards. Sincerely, Paul...
1105
Richard Guy
rkg@...
Jul 3, 2000 6:41 pm
Is it possible that there is any connexion with Martin Gardner, The Asymmetric Propeller, Coll. Math. J., 30(1999) 18-22, and the Bankoff, Erd"os, Klamkin Math...
1106
xpolakis@...
Jul 3, 2000 7:06 pm
Dear Paul, Your remark ... makes me to think about a problem, which probably we have already discussed. Anyway, here it is: Consider a triangle ABC and the...
1107
Lambrou Michael
lambrou@...
Jul 3, 2000 7:50 pm
... I don't know of an earlier reference but I am glad you raise the point. I do, however, have two references different from yours. I will write about this...
1108
Lambrou Michael
lambrou@...
Jul 3, 2000 7:59 pm
... Try Moise, Elementary geometry (or some similar sort of title). It is very readable by a beginner....
1109
Lambrou Michael
lambrou@...
Jul 3, 2000 8:46 pm
Last weekend here on Crete, at Anogia village up at the mountain of Psiloritis, there was the annual celebration for the nameday of saint Hyacinthos! Well,...
1110
Lambrou Michael
lambrou@...
Jul 3, 2000 8:59 pm
... discussed. ... Yes. I know this and so does Paul! Yes we have discussed it at Hyacinthos. Recall the mixt-linear circles article of Paul at the December...
1111
xpolakis@...
Jul 3, 2000 9:28 pm
... And Paris once told me about that nice idea! ... By the way, Michael, I will "organize" something you will be interested in: Another mailing list: one...
1112
xpolakis@...
Jul 3, 2000 9:51 pm
... I don't recall having discussed the problem here at Hyacinthos. Most likely Paul and I have discussed it in the past, since we had discussed quite a number...
1113
Jean-Pierre.EHRMANN
Jean-Pierre.EHRMANN@...
Jul 3, 2000 10:42 pm
Dear Hyacinthists, ... as I'm moving for Hollidays, I forgot to precise the computation - it's a quite simple one - : If P = (x,y,z), M = (x, -SA.z/c^2,z), N...
1114
John Conway
conway@...
Jul 4, 2000 12:18 am
... We have Fo = ( (b-c)^2.sa : (c-a)^2.sb : (a-b)^2.sc ) so Fb = (-(b+c)^2.sc : (c-a)^2.so :-(a+b)^2.sa ) (by changing the sign of b), whence the point of...
1115
xpolakis@...
Jul 4, 2000 12:01 pm
... The triangle IaIbIc is the antiorthic of ABC = the triangle whose the orthic is ABC. The circumcircle of ABC is the 9PC of IaIbIc. The points Ta,Tb,Tc are...
1116
John Conway
conway@...
Jul 4, 2000 4:03 pm
... It was nice to hear about him - perhaps our "St Hyacinthe" was named after this one!? ... I look forward very much to attending one, and hope to meet both...
1117
Richard Guy
rkg@...
Jul 4, 2000 4:12 pm
The Patrick Lee Fermor book is (also) called `Ill Met by Moonlight', which is, of course, a well known quotation from Macbeth, Act 1. R....
1119
John Conway
conway@...
Jul 4, 2000 5:38 pm
Here is my "Triangle of Centers" (ToC): iL ... O-----G--N--R-----H ... dK It consists of the triangle K O iH together with its centroid G, medial triangle...
1120
xpolakis@...
Jul 4, 2000 7:12 pm
... [...] ... Yes, none will confuse ccc with the cube of c!, which is (c!)^3 :-) Seriously: why not an other abbreviation or even quotes "ccc" ? And if you...
1121
John Conway
conway@...
Jul 4, 2000 8:43 pm
... On paper I can use ccc,sss,ttt for the products of the sines, cosines,tangents of A,B,C because of course I write powers with indices as usual. So the...
1122
Lambrou Michael
lambrou@...
Jul 5, 2000 12:48 pm
... You are right. I wrote my note in haste, and almost at midnight, after coming from my second job back to the Department at that late hour. I will look at...
