Paul Guldin
Encyclopedia
Paul Guldin (June 12, 1577 (Mels
) – November 3, 1643 (Graz
)) was a Swiss Jesuit mathematician
and astronomer
. He discovered the Guldinus theorem to determine the surface and the volume of a solid of revolution
. This theorem is also known as Pappus–Guldinus theorem and Pappus's centroid theorem
, attributed to Pappus of Alexandria
. He was noted for his association with the German mathematician and astronomer Johannes Kepler
He was born in Mels
, Switzerland
and was a professor of mathematics in Graz
and Vienna
.
In Paolo Casati's
astronomical work Terra machinis mota (1658), Casati imagines a dialogue between Guldin, Galileo, and Marin Mersenne
on various intellectual problems of cosmology
, geography
, astronomy
and geodesy
.
Mels
Mels is a municipality in the Wahlkreis of Sarganserland in the Seeztal, canton of St. Gallen, Switzerland.-History:Mels is first mentioned in 765 as Maile though this comes from a later copy of the original document. In 1018 it was mentioned as Meilis.-Geography:Mels has an area, , of...
) – November 3, 1643 (Graz
Graz
The more recent population figures do not give the whole picture as only people with principal residence status are counted and people with secondary residence status are not. Most of the people with secondary residence status in Graz are students...
)) was a Swiss Jesuit mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
and astronomer
Astronomy
Astronomy is a natural science that deals with the study of celestial objects and phenomena that originate outside the atmosphere of Earth...
. He discovered the Guldinus theorem to determine the surface and the volume of a solid of revolution
Solid of revolution
In mathematics, engineering, and manufacturing, a solid of revolution is a solid figure obtained by rotating a plane curve around some straight line that lies on the same plane....
. This theorem is also known as Pappus–Guldinus theorem and Pappus's centroid theorem
Pappus's centroid theorem
In mathematics, Pappus' centroid theorem is either of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution....
, attributed to Pappus of Alexandria
Pappus of Alexandria
Pappus of Alexandria was one of the last great Greek mathematicians of Antiquity, known for his Synagoge or Collection , and for Pappus's Theorem in projective geometry...
. He was noted for his association with the German mathematician and astronomer Johannes Kepler
Johannes Kepler
Johannes Kepler was a German mathematician, astronomer and astrologer. A key figure in the 17th century scientific revolution, he is best known for his eponymous laws of planetary motion, codified by later astronomers, based on his works Astronomia nova, Harmonices Mundi, and Epitome of Copernican...
He was born in Mels
Mels
Mels is a municipality in the Wahlkreis of Sarganserland in the Seeztal, canton of St. Gallen, Switzerland.-History:Mels is first mentioned in 765 as Maile though this comes from a later copy of the original document. In 1018 it was mentioned as Meilis.-Geography:Mels has an area, , of...
, Switzerland
Switzerland
Switzerland name of one of the Swiss cantons. ; ; ; or ), in its full name the Swiss Confederation , is a federal republic consisting of 26 cantons, with Bern as the seat of the federal authorities. The country is situated in Western Europe,Or Central Europe depending on the definition....
and was a professor of mathematics in Graz
Graz
The more recent population figures do not give the whole picture as only people with principal residence status are counted and people with secondary residence status are not. Most of the people with secondary residence status in Graz are students...
and Vienna
Vienna
Vienna is the capital and largest city of the Republic of Austria and one of the nine states of Austria. Vienna is Austria's primary city, with a population of about 1.723 million , and is by far the largest city in Austria, as well as its cultural, economic, and political centre...
.
In Paolo Casati's
Paolo Casati
Paolo Casati was an Italian Jesuit mathematician. Born in Piacenza to a Milanese family, he joined the Jesuits in 1634. After completing his mathematical and theological studies, he moved to Rome, where he assumed the position of professor at the Collegio Romano...
astronomical work Terra machinis mota (1658), Casati imagines a dialogue between Guldin, Galileo, and Marin Mersenne
Marin Mersenne
Marin Mersenne, Marin Mersennus or le Père Mersenne was a French theologian, philosopher, mathematician and music theorist, often referred to as the "father of acoustics"...
on various intellectual problems of cosmology
Cosmology
Cosmology is the discipline that deals with the nature of the Universe as a whole. Cosmologists seek to understand the origin, evolution, structure, and ultimate fate of the Universe at large, as well as the natural laws that keep it in order...
, geography
Geography
Geography is the science that studies the lands, features, inhabitants, and phenomena of Earth. A literal translation would be "to describe or write about the Earth". The first person to use the word "geography" was Eratosthenes...
, astronomy
Astronomy
Astronomy is a natural science that deals with the study of celestial objects and phenomena that originate outside the atmosphere of Earth...
and geodesy
Geodesy
Geodesy , also named geodetics, a branch of earth sciences, is the scientific discipline that deals with the measurement and representation of the Earth, including its gravitational field, in a three-dimensional time-varying space. Geodesists also study geodynamical phenomena such as crustal...
.