Ion Patrascu

[58] viXra:1704.0328 submitted on 2017-04-25 03:20:29, (18 unique-IP downloads)

Apollonius Circles of Rank -1

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[57] viXra:1701.0146 submitted on 2017-01-03 13:37:19, (9 unique-IP downloads)

An Example of a Smarandache Geometry

Authors: Ion Patrascu
Category: General Mathematics

[56] viXra:1607.0356 submitted on 2016-07-18 07:10:10, (43 unique-IP downloads)

Lucas’s Inner Circles

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[55] viXra:1607.0348 submitted on 2016-07-18 07:18:58, (27 unique-IP downloads)

Neuberg’s Orthogonal Circles

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[54] viXra:1607.0325 submitted on 2016-07-18 07:53:17, (17 unique-IP downloads)

Radical Axis of Lemoine’s Circles

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[53] viXra:1607.0323 submitted on 2016-07-18 07:55:17, (10 unique-IP downloads)

Regarding the First Droz- Farny’s Circle

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[52] viXra:1607.0322 submitted on 2016-07-18 07:56:54, (12 unique-IP downloads)

Regarding the Second Droz- Farny’s Circle

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[51] viXra:1607.0304 submitted on 2016-07-18 08:23:01, (30 unique-IP downloads)

Theorems with Parallels Taken Through a Triangle’s Vertices and Constructions Performed Only with the Ruler

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[50] viXra:1607.0303 submitted on 2016-07-18 08:23:58, (14 unique-IP downloads)

The Polars of a Radical Center

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[49] viXra:1607.0302 submitted on 2016-07-18 08:24:44, (15 unique-IP downloads)

The Radical Circle of Ex- Inscribed Circles of a Triangle

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[48] viXra:1607.0258 submitted on 2016-07-18 05:34:44, (16 unique-IP downloads)

Apollonius’s Circle of Second Rank

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[47] viXra:1607.0253 submitted on 2016-07-18 05:40:32, (9 unique-IP downloads)

A Sufficient Condition for the Circle of the 6 Points to Become Euler’s Circle

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[46] viXra:1607.0209 submitted on 2016-07-18 07:05:18, (8 unique-IP downloads)

Lemoine’s Circles

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[45] viXra:1607.0208 submitted on 2016-07-18 07:06:38, (16 unique-IP downloads)

Lemoine’s Circles Radius Calculus

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[44] viXra:1605.0024 submitted on 2016-05-03 01:13:07, (32 unique-IP downloads)

Complements to Classic Topics of Circles Geometry

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[43] viXra:1508.0264 submitted on 2015-08-27 02:36:17, (42 unique-IP downloads)

Axa Radicală a Cercurilor Lemoine

Authors: Ion Pătrașcu, Florentin Smarandache
Category: Geometry

[42] viXra:1508.0262 submitted on 2015-08-27 02:39:07, (32 unique-IP downloads)

Calculul Razelor Cercurilor Lemoine

Authors: Ion Pătrașcu, Florentin Smarandache
Category: Geometry

[41] viXra:1508.0245 submitted on 2015-08-27 03:08:22, (53 unique-IP downloads)

Lemoine Circles Radius Calculus

Authors: Ion Pătrașcu, Florentin Smarandache
Category: Geometry

[40] viXra:1411.0255 submitted on 2014-11-19 02:04:12, (30 unique-IP downloads)

Non-Congruent Triangles with Equal Perimeters and Arias

Authors: Ion Patrascu, Florentin Smarandache
Category: Statistics

[39] viXra:1411.0252 submitted on 2014-11-19 02:09:03, (677 unique-IP downloads)

Some Properties of the Harmonic Quadrilateral

Authors: Ion Patrascu
Category: Statistics

[38] viXra:1405.0215 submitted on 2014-05-11 19:02:40, (133 unique-IP downloads)

Un Model de Geometrie Smarandache Care Unește Geometria Euclidiană cu Geometria Neeuclidiană Eliptică și Geometria Neeuclidiană Hiperbolică

Authors: Ion Patrascu
Category: Geometry

[37] viXra:1404.0385 submitted on 2014-04-17 01:13:49, (168 unique-IP downloads)

Polara Unui Punct ÎN Raport cu un Cerc

Authors: Ion Patrascu, Florentin Smarandache
Category: General Mathematics

[36] viXra:1404.0380 submitted on 2014-04-17 01:19:01, (46 unique-IP downloads)

A New Proof and an Application of Dergiades’ Theorem

Authors: Ion Patrascu, Florentin Smarandache
Category: General Mathematics

[35] viXra:1404.0378 submitted on 2014-04-17 01:20:25, (79 unique-IP downloads)

Properties of the Adjoin Circles to a Triangle

Authors: Ion Patrascu, Florentin Smarandache
Category: General Mathematics

[34] viXra:1404.0373 submitted on 2014-04-17 01:24:51, (98 unique-IP downloads)

PROPRIETĂŢI Ale Cercurilor Adjuncte Unui Triunghi

Authors: Ion Patrascu, Florentin Smarandache
Category: General Mathematics

[33] viXra:1404.0259 submitted on 2014-04-16 04:24:27, (45 unique-IP downloads)

A Generalization of Certain Remarkable Points of the Triangle Geometry

Authors: Claudiu Coandă, C. Florentin Smarandache, Ion Pătrașcu
Category: General Mathematics

[32] viXra:1404.0206 submitted on 2014-04-16 06:19:19, (27 unique-IP downloads)

Several Metrical Relations Regarding the Anti-Bisector, the Anti-Symmedian, the Anti-Height and their Isogonal

Authors: Ion Patrascu, Florentin Smarandache
Category: General Mathematics

[31] viXra:1404.0205 submitted on 2014-04-16 06:20:33, (129 unique-IP downloads)

Mixt-Linear Circles Adjointly Ex-Inscribed Associated to a Triangle

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[30] viXra:1404.0128 submitted on 2014-04-16 03:52:30, (74 unique-IP downloads)

From Newton’s Theorem to a Theorem of the Inscribable Octagon

Authors: Ion Patrascu, Florentin Smarandache
Category: General Mathematics

[29] viXra:1311.0038 submitted on 2013-11-06 00:56:16, (216 unique-IP downloads)

Variance of Topics of Plane Geometry

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[28] viXra:1310.0049 submitted on 2013-10-07 10:11:42, (63 unique-IP downloads)

Nedians and Triangles with the Same Coefficient of Deformation

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[27] viXra:1310.0033 submitted on 2013-10-05 20:37:38, (107 unique-IP downloads)

The Polar of a Point with Respect to a Circle

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[26] viXra:1211.0024 submitted on 2012-11-05 13:29:38, (55 unique-IP downloads)

Several Metrical Relations Regarding the Anti-Bisectrix, the Anti-Symmedian, the Anti-Height and their Isogonal

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[25] viXra:1211.0023 submitted on 2012-11-05 13:31:16, (105 unique-IP downloads)

The Duality and the Euler’s Line

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[24] viXra:1209.0108 submitted on 2012-09-29 11:14:31, (97 unique-IP downloads)

An Important Application of the Computation of the Distances Between Remarkable Points in the Triangle Geometry

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[23] viXra:1208.0070 submitted on 2012-08-16 17:24:24, (140 unique-IP downloads)

From a Problem of Geometrical Construction to the Carnot Circles

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[22] viXra:1204.0097 submitted on 2012-04-27 09:27:47, (73 unique-IP downloads)

Quasi-Isogonal Cevians

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[21] viXra:1201.0074 submitted on 2012-01-19 21:21:15, (33 unique-IP downloads)

Un Cercetător Romȃn a Dedus Existenţa Particulelor cu Vitezele Supraluminale Descoperite Recent la Cern

Authors: I. Patrascu
Category: History and Philosophy of Physics

[20] viXra:1201.0061 submitted on 2012-01-15 22:14:03, (228 unique-IP downloads)

The Geometry of Homological Triangles

Authors: Florentin Smarandache, Ion Patrascu
Category: Geometry

[19] viXra:1109.0060 replaced on 20 Oct 2011, (103 unique-IP downloads)

Scientist Deduced the Existence of Particles with Faster-Than-Light Speeds Recently Discovered by Cern

Authors: Ion Patrascu
Category: High Energy Particle Physics

[18] viXra:1103.0035 replaced on 13 Mar 2011, (337 unique-IP downloads)

A Property of the Circumscribed Octagon

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[17] viXra:1103.0034 submitted on 11 Mar 2011, (129 unique-IP downloads)

Triplets of Tri-Homological Triangles

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[16] viXra:1010.0038 submitted on 25 Oct 2010, (114 unique-IP downloads)

Two Applications of Desargues' Theorem

Authors: Florentin Smarandache, Ion Pătraşcu
Category: Geometry

[15] viXra:1010.0008 submitted on 4 Oct 2010, (203 unique-IP downloads)

Two Triangles with the Same Orthocenter and a Vectorial Proof of Stevanovic's Theorem

Authors: Ion Pătraşcu, Florentin Smarandache
Category: Geometry

[14] viXra:1009.0046 submitted on 12 Sep 2010, (203 unique-IP downloads)

Pantazi's Theorem Regarding the Bi-orthological Triangles

Authors: Ion Pătraşcu, Florentin Smarandache
Category: Geometry

[13] viXra:1009.0009 replaced on 2014-03-21 03:00:47, (137 unique-IP downloads)

Smarandache's Orthic Theorem

Authors: Ion Patrascu
Category: General Mathematics

[12] viXra:1009.0006 replaced on 5 Sep 2010, (275 unique-IP downloads)

Two Remarkable Ortho-Homological Triangles

Authors: Ion Pătraşcu, Florentin Smarandache
Category: Geometry

[11] viXra:1008.0031 submitted on 11 Aug 2010, (71 unique-IP downloads)

Another Proof of a Theorem Relative to the Orthological Triangles

Authors: Ion Pătraşcu, Florentin Smarandache
Category: Geometry

[10] viXra:1006.0069 submitted on 30 Jun 2010, (426 unique-IP downloads)

An Application of Sondat's Theorem Regarding the Orthohomological Triangles

Authors: Ion Pătraşcu, Florentin Smarandache
Category: Geometry

[9] viXra:1006.0059 submitted on 13 Mar 2010, (390 unique-IP downloads)

Properties of a Hexagon Circumscribed to a Circle

Authors: Ion Pătraşcu, Florentin Smarandache
Category: Geometry

[8] viXra:1006.0058 submitted on 13 Mar 2010, (153 unique-IP downloads)

A Multiple Theorem with Isogonal and Concyclic Points

Authors: Florentin Smarandache, Ion Pătraşcu
Category: Geometry

[7] viXra:1006.0024 submitted on 13 Mar 2010, (181 unique-IP downloads)

A Theorem about Simultaneous Orthological and Homological Triangles

Authors: Ion Pătraşcu, Florentin Smarandache
Category: Geometry

[6] viXra:1006.0004 submitted on 3 Jun 2010, (86 unique-IP downloads)

A Class of Orthohomological Triangles

Authors: Claudiu Coandă, Florentin Smarandache, Ion Pătraşcu
Category: Geometry

[5] viXra:1005.0016 replaced on 2012-04-18 09:35:00, (198 unique-IP downloads)

Generalization of a Remarkable Theorem

Authors: Ion Patrascu, Florentin Smarandache
Category: Geometry

[4] viXra:1004.0025 submitted on 3 Apr 2010, (169 unique-IP downloads)

An Application of a Theorem of Orthohomological Triangles

Authors: Ion Pătraşcu, Florentin Smarandache
Category: Geometry

[3] viXra:1003.0058 submitted on 6 Mar 2010, (374 unique-IP downloads)

The Dual of the Orthopole Theorem

Authors: Ion Pătraşcu
Category: Geometry

[2] viXra:1003.0057 submitted on 6 Mar 2010, (528 unique-IP downloads)

DE Longchamps' Point, Line and Circle

Authors: Ion Pătraşcu
Category: Geometry

[1] viXra:1003.0056 submitted on 6 Mar 2010, (349 unique-IP downloads)

The Dual Theorem Relative to the Simson's Line

Authors: Ion Pătraşcu
Category: Geometry