James A. Smith

[38] viXra:2403.0027 submitted on 2024-03-06 01:24:54 , (32 unique-IP downloads)

A Geometric Algebra Solution to a "Divided Triangle" Problem

Authors: James A. Smith
Category: Geometry

[37] viXra:2306.0024 replaced on 2023-06-07 01:07:49 , (93 unique-IP downloads)

Location and Radius of a Triangle's Incircle Via Geometric Algebra

Authors: James A. Smith
Category: Geometry

[36] viXra:2305.0079 submitted on 2023-05-09 19:31:56 , (61 unique-IP downloads)

Via Geometric Algebra: A Solution to the Snellius-Pothenot Resection (Surveying) Problem

Authors: James A. Smith
Category: Geometry

[35] viXra:2210.0104 submitted on 2022-10-24 02:40:57 , (91 unique-IP downloads)

Use Geometric Algebra to Identify the Planes that are Tangent to Three Given Spheres

Authors: James A. Smith
Category: Geometry

[34] viXra:2208.0049 replaced on 2022-08-13 21:48:01 , (154 unique-IP downloads)

Make Two 3D Vectors Parallel by Rotating Them Around Separate Axea

Authors: James A. Smith
Category: Geometry

[33] viXra:2207.0169 submitted on 2022-07-28 22:20:37 , (71 unique-IP downloads)

Via Geometric Algebra: Rotating a Vector to Locate its Endpoint at a Specific Distance d from a Given Point P

Authors: James A. Smith
Category: Geometry

[32] viXra:2206.0001 replaced on 2022-06-04 20:53:35, (169 unique-IP downloads)

For GA Newcomers: Demonstrating the Equivalence of Different Expressions for Vector Rotations

Authors: James A. Smith
Category: Geometry

[31] viXra:2112.0139 submitted on 2021-12-25 21:29:24, (209 unique-IP downloads)

About the "Addition" of Scalars and Bivectors in Geometric Algebra

Authors: James A. Smith
Category: Geometry

[30] viXra:2105.0065 submitted on 2021-05-10 21:48:13, (125 unique-IP downloads)

A Rotor Problem from Professor Miroslav Josipovic

Authors: James A. Smith
Category: Geometry

[29] viXra:2012.0129 submitted on 2020-12-16 11:15:46, (207 unique-IP downloads)

Using Geometric Algebra: A High-School-Level Demonstration of the Constant-Angle Theorem

Authors: James A. Smith
Category: Geometry

[28] viXra:2005.0218 submitted on 2020-05-21 13:24:40, (210 unique-IP downloads)

Using a Common Theme to Find Intersections of Spheres with Lines and Planes via Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[27] viXra:1906.0404 submitted on 2019-06-20 19:17:33, (241 unique-IP downloads)

Via Geometric Algebra: Direction and Distance Between Two Points on a Spherical Earth

Authors: James A. Smith
Category: Geometry

[26] viXra:1905.0248 submitted on 2019-05-16 19:31:52, (118 unique-IP downloads)

Solution of a Vector-Triangle Problem Via Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[25] viXra:1905.0088 submitted on 2019-05-05 17:04:39, (162 unique-IP downloads)

Via Geometric (Clifford) Algebra: Equation for Line of Intersection of Two Planes

Authors: James A. Smith
Category: Geometry

[24] viXra:1812.0206 replaced on 2019-07-26 18:11:40, (243 unique-IP downloads)

Solution of a Sangaku "Tangency" Problem via Geometric Algebra

Authors: James A. Smith
Category: Geometry

[23] viXra:1807.0497 submitted on 2018-07-29 18:52:13, (136 unique-IP downloads)

Understanding the "Chain Rule" by Deriving Your Own Version

Authors: James A. Smith
Category: General Mathematics

[22] viXra:1807.0234 replaced on 2018-07-14 06:23:07, (930 unique-IP downloads)

Making Sense of Bivector Addition

Authors: James A. Smith
Category: Geometry

[21] viXra:1804.0363 submitted on 2018-04-24 20:34:14, (303 unique-IP downloads)

Learning Geometric Algebra by Modeling Motions of the Earth and Shadows of Gnomons to Predict Solar Azimuths and Altitudes

Authors: James A. Smith
Category: Geometry

[20] viXra:1802.0294 submitted on 2018-02-21 10:54:53, (304 unique-IP downloads)

Solution of a High-School Algebra Problem to Illustrate the Use of Elementary Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Algebra

[19] viXra:1802.0047 submitted on 2018-02-05 08:51:37, (207 unique-IP downloads)

Calculating the Angle Between Projections of Vectors Via Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[18] viXra:1712.0642 replaced on 2018-04-23 22:13:50, (271 unique-IP downloads)

Estimation of the Earth's "Unperturbed" Perihelion from Times of Solstices and Equinoxes

Authors: James A. Smith
Category: Geometry

[17] viXra:1712.0524 submitted on 2017-12-19 13:56:07, (287 unique-IP downloads)

Projection of a Vector upon a Plane from an Arbitrary Angle, via Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[16] viXra:1712.0393 submitted on 2017-12-11 16:46:30, (285 unique-IP downloads)

Formulas and Spreadsheets for Simple, Composite, and Complex Rotations of Vectors and Bivectors in Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[15] viXra:1710.0147 submitted on 2017-10-14 08:51:55, (164 unique-IP downloads)

How to Effect a Composite Rotation of a Vector via Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[14] viXra:1708.0462 submitted on 2017-08-29 17:16:30, (233 unique-IP downloads)

How to Effect a Desired Rotation of a Vector about a Given Axis via Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[13] viXra:1704.0331 submitted on 2017-04-24 23:10:04, (259 unique-IP downloads)

A Modification of the Lifshitz-Slyozov-Wagner Equation for Predicting Coarsening of γ‘ and Other Precipitates with Compositions Similar to that of Their Matrix

Authors: James A. Smith
Category: Condensed Matter

[12] viXra:1702.0116 replaced on 2017-02-09 19:34:42, (307 unique-IP downloads)

Geometric (Clifford) Algebra Calculation of the Trajectory of a Gas Molecule Desorbed from the Earth's Surface

Authors: James A. Smith
Category: Classical Physics

[11] viXra:1610.0076 submitted on 2016-10-06 19:47:24, (221 unique-IP downloads)

A Solution to the Problem of Apollonius Using Vector Dot Products

Authors: James A. Smith
Category: Geometry

[10] viXra:1610.0054 submitted on 2016-10-04 18:46:06, (693 unique-IP downloads)

Some Solution Strategies for Equations that Arise in Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[9] viXra:1609.0365 submitted on 2016-09-25 18:17:04, (128 unique-IP downloads)

An Additional Brief Solution of the CPP Limiting Case of the Problem of Apollonius Via Geometric Algebra (Ga)

Authors: James A. Smith
Category: Geometry

[8] viXra:1609.0341 submitted on 2016-09-23 20:11:08, (463 unique-IP downloads)

Modeling the "Falling Slinky"

Authors: James A. Smith
Category: Classical Physics

[7] viXra:1608.0328 replaced on 2016-08-27 23:19:26, (228 unique-IP downloads)

Additional Solutions of the Limiting Case "CLP" of the Problem of Apollonius via Vector Rotations using Geometric Algebra

Authors: James A. Smith
Category: Geometry

[6] viXra:1608.0217 submitted on 2016-08-19 21:41:57, (231 unique-IP downloads)

Simplified Solutions of the CLP and CCP Limiting Cases of the Problem of Apollonius via Vector Rotations using Geometric Algebra

Authors: James A. Smith
Category: Geometry

[5] viXra:1607.0166 replaced on 2016-07-26 09:29:46, (339 unique-IP downloads)

Three Solutions of the LLP Limiting Case of the Problem of Apollonius via Geometric Algebra, Using Reflections and Rotations

Authors: James A. Smith
Category: Geometry

[4] viXra:1606.0253 submitted on 2016-06-24 06:43:12, (347 unique-IP downloads)

A Very Brief Introduction to Reflections in 2D Geometric Algebra, and their Use in Solving ``Construction" Problems

Authors: James A. Smith
Category: Geometry

[3] viXra:1605.0314 replaced on 2016-08-20 22:58:10, (230 unique-IP downloads)

Solution of the Special Case "CLP" of the Problem of Apollonius via Vector Rotations using Geometric Algebra

Authors: James A. Smith
Category: Geometry

[2] viXra:1605.0233 replaced on 2016-08-20 21:29:55, (756 unique-IP downloads)

The Problem of Apollonius as an Opportunity for Teaching Students to Use Reflections and Rotations to Solve Geometry Problems via Geometric (Clifford) Algebra

Authors: James A. Smith
Category: Geometry

[1] viXra:1605.0232 submitted on 2016-05-22 20:17:30, (1579 unique-IP downloads)

Rotations of Vectors Via Geometric Algebra: Explanation, and Usage in Solving Classic Geometric "Construction" Problems (Version of 11 February 2016)

Authors: James A. Smith
Category: Geometry