The Thirteen Books of Euclib's Elements.CUP Archive |
Inni boken
Side v
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Side x
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Side xi
... POSTULATES AND AXIOMS 91 114 116 • 117 $ 4 . THEOREMS AND PROBLEMS • 124 $ 5. THE FORMAL DIVISIONS OF A PROPOSITION 129 $ 6 . OTHER TECHNICAL TERMS 132 $ 7 . THE DEFINITIONS • 143 THE ELEMENTS . DEFINITIONS , POSTULATES , COMMON NOTIONS ...
... POSTULATES AND AXIOMS 91 114 116 • 117 $ 4 . THEOREMS AND PROBLEMS • 124 $ 5. THE FORMAL DIVISIONS OF A PROPOSITION 129 $ 6 . OTHER TECHNICAL TERMS 132 $ 7 . THE DEFINITIONS • 143 THE ELEMENTS . DEFINITIONS , POSTULATES , COMMON NOTIONS ...
Side 25
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Side 27
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Innhold
IV | 32 |
78 | 41 |
I | 47 |
VOLUME III | 50 |
29 | 59 |
46 | 72 |
BOOK XI | 81 |
2 | 114 |
THE FORMAL DIVISIONS OF A PROPOSITION | 129 |
7 THE DEFINITIONS | 145 |
THE ELEMENTS | 189 |
365 | 265 |
Book II | 272 |
PYTHAGORAS AND THE PYTHAGOREANS | 411 |
420 | |
Vanlige uttrykk og setninger
angle ABC angle ACB angle BAC angles equal Apollonius Arabic Archimedes Aristotle assumed axiom bisected Book Campanus centre circle circumference commentary Common Notion congruent construction definition diameter drawn edition Elements enunciation equilateral triangle Eucl Euclid Euclid's Elements Eudemus Eutocius Fihrist follows Geminus geometry given straight line gives gnomon greater Greek Heiberg Heron hypothesis ibid interior angles interpolated isosceles joined lemma less Let ABC magnitude means meet namely Pappus parallel parallelogram passage perpendicular plane Plato porism Posidonius postulate problem Proclus produced proposition proved Ptolemy Pythagoras Pythagorean quoted rectangle rectangle contained reductio ad absurdum reference remaining angle respectively right angles right-angled triangle says Schol scholia scholium segment sides Simplicius solid square on AC suppose surface Suter Theon Theonine MSS theorem things three angles translation triangle ABC twice the rectangle words καὶ τὸ τῶν