Which country gave rise to Theorem of Pappus?

Pappus’s theorem, in mathematics, theorem named for the 4th-century Greek geometer Pappus of Alexandria that describes the volume of a solid, obtained by revolving a plane region D about a line L not intersecting D, as the product of the area of D and the length of the circular path traversed by the centroid of D

Who taught Euclid of Alexandria?

According to him, Euclid taught at Alexandria in the time of Ptolemy I Soter, who reigned over Egypt from 323 to 285 bce. Medieval translators and editors often confused him with the philosopher Eukleides of Megara, a contemporary of Plato about a century before, and therefore called him Megarensis.

What is Pappus of Alexandria known for?

Pappus of Alexandria, (flourished ad 320), the most important mathematical author writing in Greek during the later Roman Empire, known for his Synagoge (“Collection”), a voluminous account of the most important work done in ancient Greek mathematics.

When was Pappus Alexandria born?

Pappus of Alexandria ( 290 – 350 ), was a Hellenized Egyptian born in Alexandria. Very little is known about his life, but the written records suggest he was probably a teacher. His main contribution to mathematics was primarily as an encyclopedist.

What is the Pappus problem?

Unlike the geometrical problems that occupied Descartes’ early researches, the Pappus problem is a locus problem, i.e., a problem whose solution requires constructing a curve—the “Pappus curve” according to Bos’s terminology—that includes all the points that satisfy the relationship stated in the problem.

What did Euclid prove?

Euclid proved that “ if two triangles have the two sides and included angle of one respectively equal to two sides and included angle of the other, then the triangles are congruent in all respect ” (Dunham 39). In Figure 2, if AC = DF, AB = DE, and ∠CAB = ∠FDE, then the two triangles are congruent.

Who is the father of geometry full name?

Euclid, The Father of Geometry.

Why Euclid is called the father of geometry?

Euclid was an ancient Greek mathematician in Alexandria, Egypt. Due to his groundbreaking work in math, he is often referred to as the ‘Father of Geometry’. It presents several axioms, or mathematical premises so evident they must be true, which formed the basis of Euclidean geometry.

What is the plural of pappus?

noun. pap·​pus | ˈpa-pəs plural pappi ˈpa-​ˌpī, -​ˌpē

Who is the first woman mathematician?

1. Hypatia (370-415) Hypatia is the first woman known to have taught mathematics. Most consider her to be the first female to have made a significant contribution to mathematics.

How do you prove Pappus Theorem?

Let three points A, B, C be incident to a single straight line and another three points a,b,c incident to (generally speaking) another straight line. Then three pairwise intersections 1 = Bc∩bC, 2 = Ac∩aC, and 3 = Ab∩aB are incident to a (third) straight line.

What is the famous text written by diophantus and was originally written in 13 books?

His writing, the Arithmetica, originally in 13 books (six survive in Greek, another four in medieval Arabic translation), sets out hundreds of arithmetic problems with their solutions.