There is also a brief appendix on trigonometry. Elementary Geometry, Plane and Solid, for use in High Schools and Academies. By Thomas F. Holgate, Professor of Applied Mathematics in North-Western ...

Platonic solids are generically termed equilateral ... Schein's work may prod mathematicians to find other interesting geometric shapes, now that equilateral convex polyhedra have a new family.

Circle geometry Arc length is a fraction of circumference ... Calculating the volume of a standard solid The volumes of standard 3D solids can be found using specific formulae.

Regular polygons, by definition, are two-dimensional shapes ... Greek geometry that is the founding text of axiomatic mathematics, culminates with the construction of the five Platonic solids ...

Platonic solids, the first class of such shapes ... Schein’s work will invoke mathematicians to find other interesting geometric shapes, now that equilateral convex polyhedra may have been ...