Book proposal
Presentation Outline: I use two fundamental plane geometry curves, a unit circle and its construct unit
parabola, to construct and explore gravity field space curves surrounding our daily lives. This pursuit will
open the door for a new advantageous mathematical learning curve utilizing today’s symbolic logic
computer software and our foundation mathematics. Popular average 21st century ability can revisit
and participate in original philosophical inquiries indulged at the beginning of space curve exploratory
knowledge conducted by Kepler, Galileo, and Sir Isaac Newton. Combining 21st Century technology with
these two elementary Euclidean curves will enable Plane Geometry construction of a Cartesian
coordinate 1st quadrant function, enabling foundation mathematics to construct and explore a standard
gravity field model.
These two fundamental curves together produce a curved space analysis tool I call a Curved Space
Division Assembly (CSDA). It is the standard model needed to explore gravity field mechanics at HS level
knowledge base. All methods of construction, including read and analysis, are my own original, here-tofore unused, prior art property, creating a financially sustainable education system for years to come,
specifically designed for internet access and a computer. Proprietary intellectual copyright claims will
restrict utility of Sand Box Geometry methods to my partnership and only my partnership.
I intend to create 3 levels.
Level 1: machine technology for 8th and 9th grade. Develop machine code to construct circles, secants,
tangents, and find identities to simplify linear algebra definition of related properties of CSDA lines and
curves.
Level 2: machine technology for 9th and 10th grade. Develop the construction of a unit parabola, and its
identities, needed to analyze and parameterize linear construction of a dependent curve of a CSDA
function.
Level 3: machine technology for 10th – 12th grade construction of vector and scalar properties of CSDA
mechanics. Plane geometry source constructions verifying the primitive 3-space of CSDA 2-space utility
are derived from Apollonian conic section parabola.
What I require from partnership will be a dedicated affordable CAS methods application. From the world
governance at large I expect internet sophistry and computers to aid education of their citizenry. Huge
sums of money are already available to make this simple request happen.
There is no shortcut to explain this endeavor; I therefore include my Joint Mathematics Meet 2014
presentation as definitive explanatory.
Alexander CEO Sandbox Geometry LLC; A New Jersey based Publishing Company. 3/10/13