User:Mohammed farag
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[edit] THEORIES DISCOVERED BY MOHAMMED FARAG:
(1)
in any triangle ABC
where a,b,c are the lengths of its sides opposing the angles A,B,C in sequence:
a=bcosC+ccosB
PROVE:
sinA=sin(B+C)
sinA=sinBcosC+cosBsinC
1 =cosC*sinB/sinA+cosB*sinC/sinA
1 =cosC*b/a+cosB*c/a
a =bcosC+ccosB
(2)
ABCD QUADRANGULAR AREA=AC*BD*sinAMB/2
where M is the point of decussation of AC ,&BD
(3)
In ABCD quadrangle
where EI cuts AB,BC,CD,DA in F,E,H,I in sequence:
AF*BE*CH*DI/(FB*EC*HD*FA)=1
This theory can be applied also on pentangulars,hexangulars,.....etc
(4)
Triangular area =a*b*c/4r
where a,b,c are the lengths of sides opposing the angles in sequence
(5)
In ABC triangle :
sinA*sinB*sinC=cosB*sin(A+C)+cosA*sinB*cosC
(6)
In a triangle ABC :
sinA*cosA=(b^2+c^2-a^2)*a/4rbc
where a,b,c are the lengths of sides opposing the angles in sequence
(7)
In same conditions of the triangle in condition(6)
tan(A)=abc/r(b^2+c^2-a^2)
(8)
In any quadrangle ABCD :
sinDAC*sinABD*sinBCA*sinCDB/(sinCAB*sinDBC*sinACD*sinBDA)=1
This theory can be applied on pentangles,hexangles.....etc
(9)
In any pyramid with apex X & base ABCD :
sin XAB*sinXBC*sinXCD*sinXDA/(sinXBA*sinXCB*sinXDC*sinXAD)=1
This theory can be applied on pyramids with (quadrangular ,penangular,hexangular....etc)bases
THESE THEORIES WERE DISCOVERED BY MOHAMMED FARAG
EGYPTMOHAMMED@YAHOO.COM
M.FARAG59@YAHOO.COM
LOSTING_LOVER@HOTMAIL.COM
EGYMOHA@GMAIL.COM
0020827663354
0166821164--Mohammed farag (talk) 20:48, 24 April 2008 (UTC)
