### Theorems on Straight Lines and Plane Theorems on Straight Lines and Plane In mathematics, the term ‚Äúline‚Äù actually refers to the ‚Äústraight line‚Äù. It is a one-dimensional figure that extends in two opposite directions. A straight line can be defined as an interconnected set of an infinite number of points. The length of a lin.....

### Axioms: Solid Geometry 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 about real numbers. Sometimes they are called algebraic postulates. Often what they say about real numbers holds true f.....

### Dihedral Angle 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 planes is known as a dihedral angle. The plane angle between two intersecting planes is called a dihedral angle between the planes. It is an angle is the ang.....

### Angle between a Straight Line and a Plane 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 extends in two opposite directions. A straight line can be defined as an interconnected set of an infinite number of point.....

### Orthogonal Projection 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 of lengths of parallel segments is preserved, as is the ratio of areas. Orthogonal Projection is a system of making engineering dra.....

### Angle between Two Skew Lines Angle between Two Skew Lines Skew Lines mean two or more lines which have no intersections but are not parallel, also called agonic lines. Since two lines in the plane must intersect or be parallel, skew lines can exist only in three or more dimensions. A simple example of a pair of skew lines is.....

### A Surface is Called Curved Surface when it is not Plane Surface – Explanation A curved surface is considered a large set of points. Every point in the curve has two neighbors excluding the endpoints.¬†Plane Surface is a flat surface in which a straight line joining any two of its points lies entirely on that surface.¬†It’s a bit difficult to visualize a plane because.....

### Solid Geometry Terms In¬†mathematics,¬†solid geometry¬†is the traditional name for the¬†geometry¬†of¬†three-dimensional Euclidean space. Examples like cones, cylinders, prisms, pyramids, polyhedra, and spheres. Solid geometry also includes the study of¬†points,¬†lines, shapes, and regions in relation to¬†solids¬†and¬.....

### Equation to a Locus The definitions of a plane curve like circle, parabola, ellipse etc. are based on the concept of the locus. For example, the locus of points that are 1cm from the origin is a circle of radius 1cm centered on the origin, since all points on this circle are 1cm from the origin. If a point [….....

### Introduction of Locus in Mathematics Introduction of locus ‚Äì math: The concept of locus ‚Äì math is very important in analytical geometry. The definitions of a plane curve like circle, parabola, ellipse etc. are based on the concept of the locus. So, a locus is a set of points satisfying a certain condition. For example, the locus.....

### Apollonius’ Theorem Apollonius’ theorem¬†is an elementary geometry theorem relating the length of a median of a triangle to the lengths of its sides.¬†It states that “the sum of the squares of any two sides of any triangle equals twice the square on half the third side, together with twice the square on ..... 