The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 135
When of the equimultiples of four magnitudes , taken as in the fifth definition , the
multiple of the first is greater than the multiple of the second , but the multiple of
the third is not greater than the multiple of the fourth , then the first is said to have
...
When of the equimultiples of four magnitudes , taken as in the fifth definition , the
multiple of the first is greater than the multiple of the second , but the multiple of
the third is not greater than the multiple of the fourth , then the first is said to have
...
Side 252
Definitions . The first seven definitions have given rise to considerable discussion
, on which however we do not ... or of a straight line and a curved line ; this
definition however is of no importance , as the only angles ever considered are
such ...
Definitions . The first seven definitions have given rise to considerable discussion
, on which however we do not ... or of a straight line and a curved line ; this
definition however is of no importance , as the only angles ever considered are
such ...
Side 271
THE THIRD BOOK . Tue third book of the Elements is devoted to properties of
circles . Different opinions have been held as to what is , or should be , included
in the third definition of the third book . One opinion is that the definition only
means ...
THE THIRD BOOK . Tue third book of the Elements is devoted to properties of
circles . Different opinions have been held as to what is , or should be , included
in the third definition of the third book . One opinion is that the definition only
means ...
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Vanlige uttrykk og setninger
ABCD AC is equal angle ABC angle ACB angle BAC Axiom base bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson square square on AC straight line &c suppose Take taken THEOREM third triangle ABC Wherefore whole
Bibliografisk informasjon
| Tittel | The Elements of Euclid, Bøker 1-6;Bok 11 Utgave 891 av Everyman's library Utgave 891 av Everyman's library, ed. by Ernest Rhys. Science. [No. 891] Utgave 891 av Everyman's library: Science |
| Forfatter | Euclid |
| Redaktører | Isaac Todhunter, Robert Simson |
| Utgiver | J.M. Dent & Sons, Limited, 1933 |
| Original fra | University of California, Berkeley |
| Digitalisert | 5. aug 2019 |
| Lengde | 298 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |