ABSTRACT
Gyroface 10.15.1 Gyroperpendicular Feet from a Gyropoint onto a 429
Gyrotriangle Gyrosides 10.15.2 Perpendicular Feet of a Point onto a Triangle Sides 433 10.15.3 Exterior Gyrotriangle Gyroangle 435 10.15.4 Gyroperpendicular Axes, Gyropoint to Gyrotriangle 439
Gyrosides 10.16 Gyrosimplex In-Exgyrocenters and In-Exgyroradii 440 10.17 Gyrotriangle In-Exgyrocenters 444 10.18 Gyrosimplex Lemoine Gyropoint 446 10.18.1 Gyrotriangle Lemoine Gyropoint 449 10.18.2 Triangle Lemoine Point 451 10.19 Gyrosimplex p-Gyrocenters 454 10.20 From Gamma Determinants to Cayley-Menger Determinants 457
10.22 Simplex Altitudes 467 10.23 Simplex Circumradius 468 10.24 Gyrosimplex Circumgyrocenter 469 10.25 Simplex Circumcenter 470 Problems 472
10.1 Gyrotetrahedron Circumgyrocenter
Before embarking into the study of some properties of gyrosimplices, it is useful to study some comparative properties of gyrotetrahedra.