HARTFORD CONNECTICUT MATHFEST AUGUST 2013
MY CSDA WORKS SCALAR MATH PROPERTIES AND VECTORED GEOMETRY PROPERTIES OF FIELD ENERGY CURVES. MY FIRST PAPER (LEXINGTON) IS PRIMARILY VECTORED G-FIELD ENERGY CURVES. SAN DIEGO DEALS WITH SOURCE PRIMITIVE OF SCALAR PROPERTIES OF THE DEPENDENT UNIT PARABOLA CURVE AS WELL AS PROPENSITY OF THE INDEPENDENT UNIT CIRCLE TO ACQUIRE PHYSICAL PROPERTIES OF ENERGY CURVES POPULATING OUR PHYSICAL WORLD (I DEMONSTRATE PLANE GEOMETRY SOUND WAVE PROPAGATION AS AN EXAMPLE OF CSDA CURVES WORKING TOGETHER). HARTFORD IS PRIMARILY SCALAR, EXPLORING ESSENTIALS OF DIVISION AND MULTIPLICATION. I DO SO WITH TWO INFINITIES. MACRO INFINITY TO METER RADIAL EXPANSION OF ENERGY CURVES AND MICRO INFINITY TO USE INVERSED CURVATURE EVALUATION OF MACRO SPACE RADII. IT ALL BEGINS WITH EUCLID’S PERPENDICULAR DIVISOR. I PROVIDE THE FIRST EVER EUCLIDEAN PLANE GEOMETRY METER OF INVERSE SQUARE ENERGY CURVE PROPAGATION BY SUBSTITUTING CURVATURE AS SIR ISAAC NEWTON INTENDED HIS INVERSED RADIUS TO BE UNDERSTOOD. I DO SO BECAUSE I COULD NEVER CLEARLY UNDERSTAND A FLAT PLANE GEOMETRY CONSTRUCTION OF AN INVERSE SQUARE. alexander@sandboxgeometry.com
ORIGINAL COPYRIGHT GEOMETRY BY THE SANDBOX
ORIGINAL COPYRIGHT GEOMETRY BY THE SANDBOX
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Intentions: Using Parametric Geometry I will construct a Euclidean Perpendicular Divisor to investigate methods of construction that go
beyond finding the median of magnitude. I refer to Euclid's Divisor as a Linear Division Assembly and using his precise and exact mathematical method to find linear center will create, the Sand Box Geometry Curved Space Division Assembly©, using a Unit Circle and Unit Parabola. The Sandbox CSDA will use Euclid’s divisor to split our perception of field space into two infinities using curves. The first infinity will be inversed linear meter of macro space and clearly defined by the circumference of the CSDA independent curve circle. Here we find the collected population of inverse integers used to meter lines from Cartesian center past the unity boundary into the infinity of macro space. Curves can be used to partition magnitude. It is the construction of division as an ancient ratio comparative where linear magnitude is assigned the numerator and ‘counting’ integers determining partition of magnitude assigned the denominator. When ‘counting’ integers are inversed for denominator operation, essentially traditional curvature term used as endpoint position in the micro infinity composing radii endpoint magnitude in macro curved space, I demonstrate the first plane geometry explanation and construction of Sir Isaac Newton’s Inverse Square Law. alexander@sandboxgeometry.com |
A plane geometry demonstration dividing 3 units of linear square space into thirds. Alexander
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