Analytic Geometry

Released: May 9, 2026 8:00 AM CST

Here is the thirty-seventh episode of Quantum Foam, Analytic Geometry. Essentially it is just Calculus. We have other things to think about like spin math and The Theory Of Everything. There is an orthogonal force to the normal force. You have a direction of your vector. The normal force is perpendicular to the orthogonal force vector, which is the vector direction. Linear Calculus is formulated in order to do any calculation pregeneratively. This is a software stack that allows you to calculate things. They group together Analytic Geometry And Calculus. There are 3, then goes Differential Equations, Mechanics, Quantum Mechanics, and application specific physics. Then you may get into some higher-order mathematics. Physics and math must both agree. There is a separation between linear computers and quantum computers. The Fundamental Theorem Of Calculus says that you can grab all the real numbers in the formulas. A Mersenne prime number was recently discovered that is 41 million digits long. A Calculus is a way to calculate things. We are interested in a standard notation to describe geometric shapes. Being infinitely traversable in a Euclidean Space allows for the infinite divisions of wax proposal. There can be congruent vectors that let us know other relationships. There are specific ways to treat something such as Maxwell's Equations. We need to have something that is pregenerative that can read the Greek alphabet chart in manuscript form. According to Dr. Stephen Hawking, it follows that Hawking Radiation must exist. No physics is left behind. We will be getting better English momentarily. Analytic Geometry deals with math. Analytic Geometry is a bridge between modern mathematics and how they did it in the times of the Greeks. Analytic Geometry mathematically uses algebraic symbolism in its notation to solve problems in Geometry. The point of doing this is to solve problems. We are corresponding Algebra to geometric shapes and curves.

We have rods and cones in our eyeballs. One of the first great works of Geometry was done on Conic Sections. Special attention is paid to where the planes intersect the cones. As time went by, coordinate systems were developed by Indian and Islamic mathematicians. The number system also needed to be developed. An important invention was the 0 as a placeholder. We us Islamic numerals. They appear as natural as day to us. The invention of Algebraic Equations was required in order to further mathematics. 1 divided by 0 equals infinity. It really is The Theory Of Everything. Mathematicians rely on geometric intuition. René Descartes and Pierre de Fermat both independently laid the foundations of Analytic Geometry. They used letters to represent variable distances. These were French guys. René Descartes also published The Method on scientific reasoning. We may be interested in finding the instantaneous values at a point or a rate of change. Calculus studies continuous change. It is built upon the concept of derivatives and integrals. It is used to calculate areas under curves, making this essential in fields such as Physics, Engineering, and Economics. We like the idea of mathematicians holding the mantle of science. We are standing on the shoulders of giants. A lot of individuals have contributed to the study of the great subject of Calculus. Both Sir Isaac Newton and Gottfried Leibniz professionalized Calculus as formal mathematical discipline. This is The Mathematical Principles OF Natural Philosophy. A Calculus can essentially be applied to the real world around us. There is now a formalism of Analytic Geometry that we call the subject of Calculus. For the most part, I just wanted to familiarize everybody with this topic.