Pilots and captains of ship use spherical geometry to navigate their working wheel to move it. They can measure their pathway and destiny by using Spherical Geometry.

Lines in spherical geometry are very easy to understand. Lines in spherical geometry are straight looking items that can be found by graphing points in a certain pattern.

Geometry that is not on a plane, like spherical geometry

that would be a line and lines do not exist in spherical geometry

There is a beautiful proof of Euler's Therom, using the area of the sphere and spherical geometry.

The first recorded study of spherical geometry was by Autolycus of Pitane, in the 4th century BC.

No.

Geometry that is not on a plane, like spherical geometry

great

It is the geometry of a sphere as well as of shapes on the surface of the sphere.

No, both spherical and hyperbolic geometries are noneuclidian.

In Euclidean geometry, parallels never meet. In other geometry, such as spherical geometry, this is not true.

False.

great circles

False

i have no idea lol

No.

Arcs or curves.

great circles

yes

No. Spherical geometry did not disprove Euclidean geometry but demonstrated that more than one geometries were possible. Different circumstances required different geometries. Similarly hyperbolic geometry did not disprove either of the others.

great circles

Yes

line

Spherical

8

Two.

The answer will depend on what PARTS! Also, you will not be able to go very far without a good understanding of spherical geometry.

The answer depends on the curvature relative to the size of the pentagon.

All three interior angles of a spherical triangle may be right angles.

He wrote a text on spherical geometry.

In plane geometry, the geometry of a flat surface, parallel lines by definition never meet. However in spherical geometry, the geometry of the surface of a sphere (such as the planet Earth) parallel lines meet at the poles.

He wrote a text on spherical geometry.

Spherical trigonometry is a branch of spherical geometry, which deals with polygons (especially triangles) on the sphere and the relationships between the sides and the angles. This is of great importance for calculations in astronomy and earth-surface and orbital and space navigation.

Walter W. Hart has written:

'A second course in algebra' -- subject(s): Algebra

'New first algebra' -- subject(s): Algebra

'Progressive high school algebra' -- subject(s): Algebra, Lending library

'Plane trigonometry, solid geometry and spherical trigonometry' -- subject(s): Geometry, Solid, Solid Geometry, Trigonometry

'Solid geometry and spherical trigonometry' -- subject(s): Geometry, Solid, Solid Geometry, Spherical trigonometry

'Progressive solid geometry' -- subject(s): Geometry, Solid, Solid Geometry

'Junior high school mathematics' -- subject(s): Mathematics, Problems, exercises

'Plane geometry' -- subject(s): Geometry, Plane, Plane Geometry

'Modern junior mathematics' -- subject(s): Mathematics, Problems, exercises

'Mathematics in daily use' -- subject(s): Mathematics

'Socialized general mathematics' -- subject(s): Mathematics

'Progressive first-[second] algebra' -- subject(s): Algebra

Yes is you are using only straight ines, no if you are using arc segments.

The metric in spherical coordinates is a mathematical formula that describes the distance between points in a three-dimensional space using the radial distance, azimuthal angle, and polar angle. It is used to calculate distances and areas in spherical geometry.

No.

In spherical elliptical geometry, for example, given the earth's North and South poles, there are an infinite number of lines of longitudes between them.

Yes. A digon can have 2 sides, but only in a spherical geometry. In normal Euclidean geometry both the monogon and the digon have just 1 side.

In normal geometry, it's not possible to make a triangle with two obtuse angles.

It is possible to make a triangle with two obtuse angles in spherical geometry -- it's a kind of "spherical triangle".

It is possible to make a triangle with two obtuse angles in some kinds of non-Euclidean geometry -- it's a kind of "non-Euclidean triangle".

A line in Riemann's spherical geometry is called a great circle, which is the intersection of a sphere with a plane passing through its center. Great circles are the equivalent of straight lines in this non-Euclidean geometry.

John Radford Young has written:

'Elements of plane and spherical trigonometry: With it Applications to the Principles of ..' -- subject(s): Nautical astronomy, Navigation, Trigonometry, Geometry, Spherical.

'A compendious course of mathematics, theoretical and practical'

'On the theory and solution of algebraical equations, with the recent researches of Budan, Fourier, and Sturm, on the separation of the real and imaginery roots of equations' -- subject(s): Equations, Roots of Equations

'The elements of analytical geometry' -- subject(s): Analytical Geometry

'The elements of analytical geometry' -- subject(s): Analytical Geometry

Spheres and cylinders are studied in geometry. In fact there is a geometry that just deals with spheres called spherical geometry. Imagine living on a sphere ( you almost do) compared to living on a plane. Some geometric postulates must be modified for this.

There is a geometry of living on the surface of a cylinder too.

Not necessarily - it depends on the geometry. The equator, on a sphere like the earth, is a straight line on a spherical surface. It has no endpoint.

Given two lines, each is perpendicular to the other if the angles formed at the vertex are 90 degrees.

Albert E. Church has written:

'Elements of descriptive geometry, with its applications to spherical projections, shades and shadows, perspective and isometric projections' -- subject(s): Accessible book, Descriptive Geometry

'Elements of the differential and integral calculus' -- subject(s): Calculus

'Elements of descriptive geometry' -- subject(s): Descriptive Geometry

'Elements of analytical geometry' -- subject(s): Analytic Geometry

Christopher Paul Rogers has written:

'Radiative transfer in spherical geometry with an anisotropic phase function'

Euclidean geometry has become closely connected with computational geometry, computer graphics, convex geometry, and some area of combinatorics.

Topology and geometry

The field of topology, which saw massive developement in the 20th century is a technical sense of transformation geometry.

Geometry is used on many other fields of science, like Algebraic geometry.

Types, methodologies, and terminologies of geometry:

Absolute geometry

Affine geometry

Algebraic geometry

Analytic geometry

Archimedes' use of infinitesimals

Birational geometry

Complex geometry

Combinatorial geometry

Computational geometry

Conformal geometry

Constructive solid geometry

Contact geometry

Convex geometry

Descriptive geometry

Differential geometry

Digital geometry

Discrete geometry

Distance geometry

Elliptic geometry

Enumerative geometry

Epipolar geometry

Euclidean geometry

Finite geometry

Geometry of numbers

Hyperbolic geometry

Information geometry

Integral geometry

Inversive geometry

Inversive ring geometry

Klein geometry

Lie sphere geometry

Non-Euclidean geometry

Numerical geometry

Ordered geometry

Parabolic geometry

Plane geometry

Projective geometry

Quantum geometry

Riemannian geometry

Ruppeiner geometry

Spherical geometry

Symplectic geometry

Synthetic geometry

Systolic geometry

Taxicab geometry

Toric geometry

Transformation geometry

Tropical geometry

Yes, although a triangle (in normal geometry) can only have one right angle, no more.

It is possible for a triangle to have all three right angles in spherical geometry (if you were to draw the triangle on a sphere).