Quick Answer: When Was Spherical Geometry Discovered?

geometry of the sphere (called spherics) were compiled into textbooks, such as the one by Theodosius (3rd or 2nd century bce) that consolidated the earlier work by Euclid and the work of Autolycus of Pitane (flourished c. 300 bce) on spherical astronomy. More significant, in the 2nd century bce the…

Who is the father of spherical geometry?

As a result, parallel lines do not exist. Figure 24.1 A model of spherical geometry. The mathematician Bernhard Riemann (1826? 1866) is credited with the development of spherical geometry.

What is spherical geometry used for?

Spherical geometry is useful for accurate calculations of angle measure, area, and distance on Earth; the study of astronomy, cosmology, and navigation; and applications of stereographic projection throughout complex analysis, linear algebra, and arithmetic geometry.

Who invented spherical trigonometry?

(also derived earlier, as mentioned above) and the Brahmagupta interpolation formula for computing sine values. Another later Indian author on trigonometry was Bhaskara II in the 12th century. Bhaskara II developed spherical trigonometry, and discovered many trigonometric results.

Where did spherical trigonometry originate?

Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and navigation. The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam.

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Who found spherical geometry?

Menelaus of Alexandria, (flourished 1st century ad, Alexandria and Rome), Greek mathematician and astronomer who first conceived and defined a spherical triangle (a triangle formed by three arcs of great circles on the surface of a sphere).

Do perpendicular lines exist in spherical geometry?

In spherical geometry, a line is a great circle. There are many lines that contain point P that are perpendicular to line ℓ. So the Euclidean Perpendicular Postulate is not true in spherical geometry.

Who discovered Euclidean geometry?

Euclidean geometry, the study of plane and solid figures on the basis of axioms and theorems employed by the Greek mathematician Euclid (c. 300 bce). In its rough outline, Euclidean geometry is the plane and solid geometry commonly taught in secondary schools.

Is elliptical and Spherical Geometry the same?

Elliptic geometry is an example of a geometry in which Euclid’s parallel postulate does not hold. Instead, as in spherical geometry, there are no parallel lines since any two lines must intersect. However, unlike in spherical geometry, two lines are usually assumed to intersect at a single point (rather than two).

What is meant by Spherical Geometry?

Spherical geometry is the geometry of the two-dimensional surface of a sphere. In this context the word “sphere” refers only to the 2-dimensional surface and other terms like “ball” or “solid sphere” are used for the surface together with its 3-dimensional interior.

Who invented 0?

The first modern equivalent of numeral zero comes from a Hindu astronomer and mathematician Brahmagupta in 628. His symbol to depict the numeral was a dot underneath a number.

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Who invented Geometry?

Euclid lived 2300 years ago in Alexandria, in northern Egypt. His was a brilliant mind. He devised a method of learning Geometry starting from the simplest idea – an Axiom – something we can all agree is self-evident.

Who invented calculus?

Sir Isaac Newton was a mathematician and scientist, and he was the first person who is credited with developing calculus.

When was trigonometry first discovered?

Ṭūsī was the first ( c. 1250 ) to write a work on trigonometry independently of astronomy. But the first modern book devoted entirely to trigonometry appeared in the Bavarian city of Nürnberg in 1533 under the title On Triangles of Every Kind. Its author was the astronomer Regiomontanus (1436–76).

Did aryabhatta invented trigonometry?

His definitions of sine (jya), cosine (kojya), versine (utkrama-jya), and inverse sine (otkram jya) influenced the birth of trigonometry. He was also the first to specify sine and versine (1 − cos x) tables, in 3.75° intervals from 0° to 90°, to an accuracy of 4 decimal places.

Who is called Father of trigonometry?

The first known table of chords was produced by the Greek mathematician Hipparchus in about 140 BC. Although these tables have not survived, it is claimed that twelve books of tables of chords were written by Hipparchus. This makes Hipparchus the founder of trigonometry.

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