Lines and planes in space

A triangle has six characteristics of which three are the angular characteristics (angles) and the rest three are the linear characteristics (sides). These characteristics under fixed conditions make up a triangle. Even if only half of these conditions are known to us, it is possible to make a complete triangle by using Sine, Cosine or […]

Solids or three-dimensional shapes are three-dimensional shapes with three (or more) dimensions in Geometry. Solid geometry is the study of the characteristics, volume, and surface area of three-dimensional shapes. Geometry is primarily concerned with two sorts of shapes: flat and solid.  Solids Three-dimensional shapes, often known as solids, are shapes that occupy space. Figures with

The inclination of parallel lines is the same. A house’s floor and ceiling, for example, are parallel to one other. The lines in the illustration below are also parallel. Two lines are mathematically parallel if and only if they have the same slope. Two such lines can never cross. However, there are an endless number

Skew lines are defined as a pair of lines that are not parallel to one another and do not intersect with one another. Skew lines are only possible in spaces with dimensions greater than two-dimensionality. They have to be non-coplanar, which means that parallel lines must be found in more than one plane. In a

Coordinates geometry Mathematically speaking, coordinate geometry is an important subfield of geometry since it teaches students how to learn the attributes of geometric forms and helps them present such figures in a two-dimensional plane. In order to get a basic grasp of coordinate geometry, we are going to start by learning about the coordinate plane

Skew lines can be defined as the pair of parallel lines that do not meet. Skew lines can only exist in spaces with more than two dimensions. They must be non-coplanar, which means that they exist in distinct planes. Two lines in a two-dimensional space can cross or be parallel to each other. As a

Mathematically, the shortest distance between two lines can be determined by measuring their perpendicular distances. Calculating the distance between two perpendicular lines can be done using a formula to measure the perpendicular distance between them. Whenever two lines intersect, the shortest distance between them will be zero. Similarly, the smallest distance between two non-intersecting parallel

In geometry, we may have come across a variety of different types of formulas, such as perimeter, area, height, volume, and other similar terms. When working with polygons, one of the most frequently encountered metrics is the semi perimeter. It is a measurement that is associated with plane figures, which are two-dimensional shapes. Simple formulas

When a plane slices through a cone, it yields a curve known as a conic section. There are many different forms that we can achieve depending on the angle at which the cone and its nappe are sliced. We may make the following shapes by slicing a cone in different directions with a plane:  Circle 

The curves formed by the intersection of a plane with a cone are known as conic sections or cone sections. A cone or conic section has three principal sections: parabola, hyperbola, and ellipse (the circle is a special kind of ellipse). The conic portions are made using a cone with two identical nappes. Conic section