Oscillatory geometry Graceli
Calculation Graceli to geometric variations .

For areas and volumes adds oscillatory variable [ 1 ] that multiplies the actual number , or even the variable logx / x that multiplies the actual number , which can be divisible by time, or even the speed of light by the time , giving a quantum and statistical connotation.
Variable oscillation to Graceli areas, volumes , and circles , triangles and rectangles, and even variation in angles and sine , cosine , tangent , and others.
+ V = [t * R / t] / [ c / t ] .
+ V = logx / x * [t * R / t] / [ c / t ] . Infinitesimal sequential variables .
The oscillation = 0 * , the * 1 , * the value , the negative R * , the * logx / x [ n ... ] .

v = variable.
= the oscillation.
R = real numbers
ct = speed of light by time.


 Example of cylinder volumes .
V = Ab . h = πr2h + v = logx / x * [t * R / t] / [ c / t ] .


Cylinder, cone and sphere
 area and volume

1. cylinder
Cylinder : three-dimensional object composed of the superposition of infinite circles of the same diameter. It is also defined as the object that results from rotation of a parallelogram around one of its sides . Or, the cylinder can be seen as a " prism " circular base .

1.1 Straight Cylinder : The cylinder is straight when the circles overlap along a direction perpendicular to the plane thereof . Or when the parallelogram that the rotation is a rectangle . In this case the cylinder axis is perpendicular to the base.



complementary definitions
Al → lateral area
Ab → base area
→ cylinder height h (the distance between the two bases perpendicular to)
the base radius r →

where :
Al 2πrh = Ab = πr2

Total area :
AT = Al + 2 . Ab = 2πr2 2πrh + = 2πr ( h + r )

volume:
V = Ab . h = πr2h