
„The centre of gravity of any parallelogram lies on the straight line joining the middle points of opposite sides.“
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 9.
On the Equilibrium of Planes
Book 1, Proposition 13.
On the Equilibrium of Planes
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 9.
On the Equilibrium of Planes
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 14.
On the Equilibrium of Planes
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 4.
On the Equilibrium of Planes
— Archimedes, buch The Method of Mechanical Theorems
Proposition presumed from previous work.
The Method of Mechanical Theorems
— Archimedes, buch The Method of Mechanical Theorems
Proposition 6.
The Method of Mechanical Theorems
— Aristarchus of Samos ancient Greek astronomer and mathematician
p, 125
On the Sizes and Distances of the Sun and the Moon (c. 250 BC)
— Archimedes, buch The Method of Mechanical Theorems
of the portion adjacent to the base
Proposition presumed from previous work.
The Method of Mechanical Theorems
— Archimedes, buch On the Equilibrium of Planes
Book 1, Proposition 10.
On the Equilibrium of Planes
— Thomas Little Heath British civil servant and academic 1861 - 1940
this implies the use of similar triangles in the way that the Egyptians had used them in the construction of pyramids
Achimedes (1920)
— Johannes Kepler, buch Astronomia nova
As quoted by Bryant, ibid.
Astronomia nova (1609)
— Mark Twain American author and humorist 1835 - 1910
Quoting a schoolchild in "English as She Is Taught"
— Howard P. Robertson American mathematician and physicist 1903 - 1961
Geometry as a Branch of Physics (1949)
— Immanuel Kant German philosopher 1724 - 1804
Section III On The Principles Of The Form Of The Sensible World
— Arthur Schopenhauer, buch Parerga und Paralipomena
Vol. 2 "Further Psychological Observations" as translated in Essays and Aphorisms (1970), as translated by R. J. Hollingdale
Parerga and Paralipomena (1851), Counsels and Maxims
— Kate Bush British recording artist; singer, songwriter, musician and record producer 1958
Song lyrics, The Sensual World (1989)
— Morris Kline American mathematician 1908 - 1992
Quelle: Mathematical Thought from Ancient to Modern Times (1972), p. 175
Kontext: To avoid any assertion about the infinitude of the straight line, Euclid says a line segment (he uses the word "line" in this sense) can be extended as far as necessary. Unwillingness to involve the infinitely large is seen also in Euclid's statement of the parallel axiom. Instead of considering two lines that extend to infinity and giving a direct condition or assumption under which parallel lines might exist, his parallel axiom gives a condition under which two lines will meet at some finite point.
— Yahia Lababidi 1973
Signposts to Elsewhere (2008)
— Hans Freudenthal Dutch mathematician 1905 - 1990
Quelle: Mathematics as an Educational Task (1973), p. 363
— Hans Freudenthal Dutch mathematician 1905 - 1990
Quelle: Mathematics as an Educational Task (1973), p. 476-477