Another notable example of the early Greek philosophy is found in Pythagoras, who asserted that number was the first principle.
"History of Human Society" by Frank W. Blackmar
Pythagoras had imposed upon his pupils the abstraction of a common, exactly-defined manner of living.
"Pedagogics as a System" by Karl Rosenkranz
Pythagoras appears to have taken it.
"History of the Intellectual Development of Europe, Volume I (of 2)" by John William Draper
The myth of it all, brought by Pythagoras from Egypt is very old.
"The Lords of the Ghostland" by Edgar Saltus
The first eruption appears to have occurred in the time of Pythagoras; we have no details as to its nature.
"Etna" by G. F. Rodwell
When he came to man's estate, he became an enthusiastic admirer and devoted follower of Pythagoras.
"Bible Myths and their Parallels in other Religions" by T. W. Doane
Pythagoras was a fool, a madman, an impostor.
"Tales from "Blackwood," Volume 2" by Various
Pythagoras found him expiating his mirth in hell.
"Historia Amoris: A History of Love, Ancient and Modern" by Edgar Saltus
This was also the characteristic mystery in the doctrine of Pythagoras.
"Villa Eden:" by Berthold Auerbach
Iamblichus in his life of Pythagoras speaks of it as a place of great sanctity forbidden to the vulgar.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 3" by Various
The image of Jesus was crowned along with those of Pythagoras, Plato and Aristotle.
"Encyclopaedia Britannica, 11th Edition, Volume 5, Slice 4" by Various
On my left stands Pythagoras, on my right Socrates.
"The Laughing Cavalier" by Baroness Orczy
Pythagoras, system of, 10.
"Principles of Geology" by Charles Lyell
We know that Pythagoras himself was not a total abstainer from flesh.
"A Critical History of Greek Philosophy" by W. T. Stace
His work on music also is not a translation from Pythagoras, who left no writing behind him.
"Encyclopaedia Britannica, 11th Edition, Volume 4, Slice 1" by Various
Pythagoras, biography of, i.
"History of the Intellectual Development of Europe, Volume II (of 2)" by John William Draper
Beans were believed by some of the ancients to contain the souls of their ancestors, and Pythagoras would not eat beans for this reason.
"The New Gresham Encyclopedia. Vol. 1 Part 3" by Various
In the tomb of Pythagoras near Cortona, with a span of about 10 ft., only four voussoirs were employed.
"Encyclopaedia Britannica, 11th Edition, Volume 2, Slice 4" by Various
Ovid attributes the same opinion to Pythagoras.
"Lives of Eminent Zoologists, from Aristotle to Linnæus" by William MacGillivray
It was referred to by Homer, Pythagoras, and Aristotle.
"Electricity and Magnetism" by Elisha Gray
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The radius r follows from the Pythagoras theorem.
Feedback stabilization for Oseen fluid equations:A stochastic approach
If d = d2 , then the extreme case is when z ′ lies in T(s) and x and z ′ are at maximal distance, in which case the claim follows from Pythagoras’ Theorem.
Percolation on random Johnson-Mehl tessellations and related models
Pythagoras, or can be done vectorial. Suppose that the assertion of the theorem is true for n = k .
A Generalization of A Leibniz Geometrical Theorem
Then Pythagoras yields ||a − z || ≥ ||a − x||, a contradiction to x 6= z .
Definable versions of theorems by Kirszbraun and Helly
This could have been done by using Pythagoras’ theorem graphically, i.e. by drawing the right angled triangle whose two shorter edges had lengths 571 and 153.
Archimedes' calculations of square roots
Pythagoras that |z − π ˜Lk (π(z+T zΣk ) (ξ ))|2 ≤ |z − π(z+T zΣk ) (ξ )|2 ≤ |z − ξ |2 ≤ cρ2 .
Willmore minimizers with prescribed isoperimetric ratio
Let us give here Pythagoras relation that we used several times.
Sharp oracle inequalities and slope heuristic for specification probabilities estimation in general random fields
Lemma 20 is the analog of the Pythagoras theorem in the matrix setting. A proof of this lemma can be found in .
Improved matrix algorithms via the Subsampled Randomized Hadamard Transform
It was discovered by Pythagoras, a Greek philosopher who lived around 500 BC, that the note an octave higher than another has a frequency twice high.
Music in Terms of Science
The ﬂat space metric (1) satisﬁes the Pythagoras rule.
A review of self-tuning solutions of cosmological constant
But curved spaces do not satisfy the Pythagoras rule.
A review of self-tuning solutions of cosmological constant
N 2dt2 + hij (dxi + N idt)(dxj + N j dt) from the Lorentzian version of Pythagoras theorem.
Huygens-Fresnel Principle in Superspace
Although pregeometrical speculations, in western philosophy, probably date as far back as Pythagoras, their ﬁrst modern incarnation probably starts with J.
Non-Commutative Geometry, Categories and Quantum Physics
Note that the Cross law includes as special cases both the Triple quad formula and Pythagoras’ theorem.
Chromogeometry
This probability measure (we shal l cal l the generalized I - projection of α on C ) is characterized by the fol lowing Pythagoras inequality H (ν | α) ≤ H (α∗ | α) + H (ν | α∗ ) for al l ν ∈ C .
Deviations bounds and conditional principles for thin sets
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