scholarly journals The Theorems as far as Proposition 32, of the first book of Euclid's Elements, proved from First Principles

1883 ◽  
Vol 2 ◽  
pp. 40
Author(s):  
David Traill
Keyword(s):  
First Principles ◽  
Euclid’S Elements

scholarly journals Geometrical First Principles in Proclus’ Commentary on the First Book of Euclid’s Elements

Phronesis ◽  
2014 ◽  
Vol 59 (1) ◽  
pp. 44-98 ◽  
Author(s):  
D. Gregory MacIsaac
Keyword(s):  
First Principles ◽  
The Self ◽  
First Principle ◽  
Euclid’S Elements

Abstract In his commentary on Euclid, Proclus says both that the first principle of geometry are self-evident and that they are hypotheses received from the single, highest, unhypothetical science, which is probably dialectic. The implication of this seems to be that a geometer both does and does not know geometrical truths. This dilemma only exists if we assume that Proclus follows Aristotle in his understanding of these terms. This paper shows that this is not the case, and explains what Proclus himself means by definition, hypothesis, axiom, postulate, and the self-evident, and how geometry is a science that receives its principles from dialectic.

Transferability of first principles derived torsional potentials for mesogenic molecules and fragments

1998 ◽  
Vol 93 (6) ◽  
pp. 947-954 ◽  
Author(s):  
C.J. ADAM ◽  
S.J. CLARK ◽  
M.R. WILSON ◽  
G.J. ACKLAND ◽  
J. CRAIN
Keyword(s):  
First Principles ◽  
Torsional Potentials

A first-principles Hartree-Fock description of MnO at high pressures

1998 ◽  
Vol 77 (4) ◽  
pp. 1063-1075
Author(s):  
W. C. Mackrodt, E.-A. Williamson, D. W
Keyword(s):  
First Principles ◽  
High Pressures ◽  
Hartree Fock

Review of From First Principles: An Experiment on Ageing.

1997 ◽  
Vol 42 (2) ◽  
pp. 173-174
Author(s):  
Terri Gullickson
Keyword(s):  
First Principles

FIRST PRINCIPLES CALCULATION OF THE PHONON SPECTRA OF SOLIDS

1981 ◽  
Vol 42 (C6) ◽  
pp. C6-625-C6-627 ◽  
Author(s):  
P. E. Van Camp ◽  
V. E. Van Doren ◽  
J. T. Devreese
Keyword(s):  
First Principles ◽  
First Principles Calculation ◽  
Phonon Spectra

Electronic Structure and X-ray Absorption Spectra of Rutile TiO2 Using First-Principles Calculations

2014 ◽  
Vol 52 (12) ◽  
pp. 1025-1029
Author(s):  
Min-Wook Oh ◽  
Tae-Gu Kang ◽  
Byungki Ryu ◽  
Ji Eun Lee ◽  
Sung-Jae Joo ◽  
...  
Keyword(s):  
Electronic Structure ◽  
Absorption Spectra ◽  
First Principles ◽  
First Principles Calculations ◽  
Rutile Tio2 ◽  
X Ray ◽  
X Ray Absorption
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