Mathematic

Triangle is a plane figure with three straight sides and three angles. The three angles always add to 180°. The vertex is a corner of…

Order of a Surd Definitions of surds: A root of a positive real quantity is called a surd if its value cannot be exactly determined.…

Induction Proof – Problems with Solutions Mathematical induction is a technique for proving a statement – a theorem, or a formula — that is asserted…

Theorem of Three Perpendiculars A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly, a…

Converse of the theorem on parallel lines and plane: Theorem: If two straight lines are parallel and if one of them is perpendicular to a…

Theorem on Parallel Lines and Plane Theorem: If two straight lines are parallel and if one of them is perpendicular to a plane, then the…

Theorem on Co-planar A set of points, lines, line segments, rays or any other geometrical shapes that lie on the same plane are said to…

Theorems on Straight Lines and Plane In mathematics, the term “line” actually refers to the “straight line”. It is a one-dimensional figure that extends in…

Axioms: Solid Geometry Axioms involving reflection at a plane were approached through physical observations of reflection from a plane mirror. Axioms are general statements made…

The dihedral angle is an angle between two distinct planes that are intersecting in any way. We can say that the interior angle between two…

Angle between a Straight Line and a Plane: In mathematics, the term “line” actually refers to the “straight line”. It is a one-dimensional figure that…

Orthogonal Projection: A projection of a figure by parallel rays. In such a projection, tangencies are preserved. Parallel lines project to parallel lines. The ratio…