A Manual of Greek MathematicsDover Publications, 1963 - 552 pagina's |
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Pagina 87
... perpendicular from a vertex to the opposite side . Thus , if , in the triangle ABC , AD is perpendicular to BC , the sum of all the angles of the two right - angled triangles ABD , ADC is known to be four right angles . Now the angles ...
... perpendicular from a vertex to the opposite side . Thus , if , in the triangle ABC , AD is perpendicular to BC , the sum of all the angles of the two right - angled triangles ABD , ADC is known to be four right angles . Now the angles ...
Pagina 252
... perpendicular to the five angular points of the nearer of the pentagons are all equal to the side of the pentagon . This gives the ten equilateral triangles which complete the required icosahedron . ( The length of each perpendicular is ...
... perpendicular to the five angular points of the nearer of the pentagons are all equal to the side of the pentagon . This gives the ten equilateral triangles which complete the required icosahedron . ( The length of each perpendicular is ...
Pagina 420
... perpendicular is drawn from a vertex ( A ) to the opposite side ( BC ) , and the theorems of Eucl . II . 12 and 13 are used in order to find the lengths of the segments into which BC is divided by the perpendicular AD . The length of ...
... perpendicular is drawn from a vertex ( A ) to the opposite side ( BC ) , and the theorems of Eucl . II . 12 and 13 are used in order to find the lengths of the segments into which BC is divided by the perpendicular AD . The length of ...
Inhoudsopgave
INTRODUCTORY 157 | 5 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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algebra Apollonius Archimedes Archytas arithmetic assumes astronomy axis base bisects Book centre of gravity chord circle circumscribed commentary cone conics contained cube curve cylinder definition diameter Diophantus divided edition equal equation equivalent Eratosthenes Eucl Euclid Eudemus Eudoxus Eutocius figure geometry given ratio given straight line gives Greek height Heron Hipparchus hyperbola inscribed lemmas length loci mathematics mean proportionals method method of exhaustion moon multiplied namely Pappus parabola parallel parallelogram pentagon perpendicular plane Plato polygonal number Porisms Posidonius problem Proclus proof Prop propositions proved Ptolemy pyramid Pythagoras Pythagoreans quadratic quadratic equations radius rectangle respectively right angles right-angled triangle segment semicircle sexagesimal sides similar solid solution solved sphere square number surface tangent Theon Theon of Alexandria theorem theory tion translation treatise triangular number volume whence