Elements of the Platonic Solids

Elements of the Platonic Solids

The most important elements of the Platonic solids are the faces, the vertices and the edges. In addition, we also have additional secondary elements such as lines of symmetry and cross-sections. In this article, we will take a look at the five Platonic solids and we...
Elements of the Platonic Solids

The 5 Platonic Solids – Properties, Diagrams and Examples

Platonic solids are three-dimensional figures, in which all their faces are congruent regular polygons. In total, there are five Platonic solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron. These figures are associated with the five elements of...
Circumcenter, Orthocenter, Incenter, and Centroid

Circumcenter, Orthocenter, Incenter, and Centroid

The circumcenter, the orthocenter, the incenter, and the centroid are points that represent the intersections of different internal segments of a triangle. For example, we can obtain intersection points of perpendicular bisectors, bisectors, heights and medians. In...
Power Rule – Examples and Practice Problems

Power Rule – Examples and Practice Problems

Derivation exercises that involve the variables or functions raised to a numerical exponent can be solved using the power rule formula. This formula allows us to derive variables such as but not limited to , where is either a positive, negative or rational real...
Power Rule – Examples and Practice Problems

Power Rule of Derivatives – Formula, Proof and Examples

The Power Rule is one of the major and most commonly used formulas in Differential Calculus (or Calculus I). It is commonly applied in deriving a single variable, a set of polynomials, or a function with a numerical exponent. The power rule can be proven and...