Straight-line distances between points defined by coordinate in 2 or more dimensions, are measure using Pythagoras. Many applications in mathematics and science depend on the distance between objects.
Mathematics,
Pythagoras made many contributions to the field of math.
Mostly geometry and number theory.
The two major fields of science are Social Science and Natural Science.
The Pythagorean Theorem is famous because it has made almost all upper level math possible, opening up new fields in science. Sine Cosine and Tangent are based on this theorem, and, thereby, all parts of mathematics related directly or indirectly to trigonometry.
Physics, Chemistry and Biology are three major fields in science.
Pythagoras is important to geometry primarily for his formulation of the Pythagorean theorem, which establishes a fundamental relationship between the lengths of the sides of a right triangle. This theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. His contributions laid the groundwork for many geometric principles and the study of mathematics as a whole, influencing fields ranging from architecture to physics. Pythagorean concepts also extend beyond triangles, impacting various areas of mathematics, including trigonometry and number theory.
Some of the greatest men and women in science include Albert Einstein, Marie Curie, Isaac Newton, and Jane Goodall. Their contributions have significantly impacted various fields such as physics, chemistry, biology, and environmental science.
They do, as do many fields that are not science.
Trigonometry is helpful in many fields of geometry and a few of them are:- It helps to identify different types of triangles It helps to work out the sides and interior angles of triangles It helps to work out the properties of polygons It helps to work out the properties of a right angle triangle with Pythagoras' theorem It helps with navigating and working out distances
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The scientific revolution impacted various fields, including astronomy, physics, chemistry, biology, and mathematics. Breakthroughs like the heliocentric theory, laws of motion, and the scientific method revolutionized how people approached and understood the natural world.