Talk:Albert Girard

Article needs to mention his work on Theory of Equations
I'm leaving comments here, in response to the WikiProject France banner. This scientist is actually more significant to WikiProject Mathematics, but perhaps the same evaluation may serve for both. Joseph Louis Lagrange (1736-1813) wrote a major treatise on the theory of equations about 1780 in which the work of Girard is important. A later edition of this book is reprinted in the 8th volume of Lagrange's Oeuvres, called the "Traité de la solution des équations numériques de tous les degrés," which is available online. (For details see the WP article on Lagrange). Girard is actually a major figure in the progression of work on theory of equations that culminated in the 19th century with the work of Abel and Galois. This information needs to be properly explained in his article for Girard to get the recognition he deserves. The current online edition of Britannica credits Girard with being one of the first to argue the truth of the Fundamental theorem of algebra, which at the time was considered part of the theory of equations. Our own page on Fundamental theorem of algebra mentions Girard's work of 1629 called "L'invention nouvelle en l'Algèbre". The present article should say something about that book. EdJohnston 22:30, 2 February 2007 (UTC)

Albet Girard Conjecture Extension To All prime numbers by José Miguel de Vicente in 1997
The day 3 Jun 1997 I extend The Albert Girard Conjecture to all prime numbers.

You can see at the end the number and date of the copy right at this date. I publisedh Two papers”Conjectures About Prime Numbers”  " Conjeturas sobre los números primos” in  "Anales de Mecánica y Electricidad".  Revista oficial de Ingenieros de ICAI Madrid . Mayo-Junio 1997, Mayo-Junio 1998.

Until there you can see:

Pri Num....n.....X.....Y.....= X2 +2 (-1)n Y2

7...............1.....3.....1.....= 32 - 2 x 12

23..............5.....5.....1.....= 52 - 2 x 12

31..............7.....7.....3.....= 72 - 2 x 32

47.............11.....7.....1.....= 72 - 2 x 12

71.............17.....11....5.....= 112 - 2 x 52

79.............19......9....1.....= 92 - 2 x 12

103............25.....11....3.....= 112 - 2 x 32

119............29.....13....5.....= 132 - 2 x 52

127............31.....15....7.....= 152 - 2 x 72

151............37.....13....3.....= 132 - 2 x 32

167............41.....13....1.....= 132 - 2 x 12

191............47.....17....7.....= 172 - 2 x 72

199............49.....19....9.....= 192 - 2 x 92

11.............2......3.....1......= 32 + 2 x 12

19.............4......1.....3......= 12 + 2 x 32

43.............10.....5.....3.....= 52 + 2 x 32

59.............14.....3.....5.....= 32 + 2 x 52

67.............16.....7.....3.....= 72 + 2 x 32

83.............20.....9.....1.....= 92 + 2 x 12

107............26.....3.....7.....= 32 + 2 x 72

131............32.....9.....5.....= 92 + 2 x 52

139............34.....11....3.....= 112 + 2 x 32

163............40.....1.....9.....= 12 + 2 x 92

179............44.....9.....7.....= 92 + 2 x 72

187............46.....13.....3.....= 132 + 2 x 32

TABLA 2 - Verificación de la conjetura hasta N = 200, Si N(primo) = 4n + 3, entonces N = X2 + 2 (-1)n Y2

Picture 2 Sample of Conjecture for numbers <200. If N is prime number = 4n +3 ThenN = X2 + 2 (-1)n Y2

In Januri 2.002 I Publisedh the paper “ The Odd Prime numbers”   “Los Números Primos Impares” en revista  Anales de Mecánica y Electricidad de Ingenieros de ICAI, Madrid  Vol. LXXIX. Fascículo I. Enero-Febrero. 2.002. In this paper you can see:

Los números primos impares se pueden obtener:

Si son de la forma P1=8n + 1 como (Y 2+X 2), (2Y 2+X 2), o (2Y 2-X 2)

Si son de la forma P3 = 8n + 3 únicamente como 2Y 2 + X 2

Si son de la forma P5 = 8n + 5 únicamente como Y 2 + X 2

Si son de la forma P7 = 8n + 7 únicamente como 2Y 2 - X 2

Traslation:

You can get Odd Prime Numbers in this way

If They are P1=8n + 1 you can write them as (Y 2+X 2), (2Y 2+X 2), or (2Y 2-X 2)

If They are P3 = 8n + 3 you can write them only as  2Y 2+X 2

If They are P5 = 8n + 5 you can write them only as  Y 2 + X 2

If They are P7 = 8n + 7 you can write them only as  2Y 2 - X 2

I was the first author to say that things.

If you dont knew this information before, If you never had read my name, is because the Real Academia de Ciencias Exactas de España is not working to defend the spanish mathematical authors.

All this and more you can see at my web page



Madrid 22 Mai 2.008

José Miguel de Vicente.

Copy right M-60821 de RPI de Madrid date 03-06-1997 80.26.43.41 (talk) 08:44, 22 May 2008 (UTC)