The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 85
H E ΚΑ A E 0 H BH and therefore the centre of each circle is in the straight line
GH which bisects BD at right angles ; [ III . 1 , Corol . therefore GH passes through
the point of contact . ( III . 11 . But GH does not pass through the point of contact ...
H E ΚΑ A E 0 H BH and therefore the centre of each circle is in the straight line
GH which bisects BD at right angles ; [ III . 1 , Corol . therefore GH passes through
the point of contact . ( III . 11 . But GH does not pass through the point of contact ...
Side 114
A circle is said to be described about a rectilineal figure , when the circumference
of the circle passes through all the angular points of the figure about which it is
described . 7. A straight line is said to be placed in a circle , when the extremities
...
A circle is said to be described about a rectilineal figure , when the circumference
of the circle passes through all the angular points of the figure about which it is
described . 7. A straight line is said to be placed in a circle , when the extremities
...
Side 248
If this process be continued , and the triangles be supposed to be taken away ,
there will at length remain segments of circles which are together less than the
excess of the circle EFGH above the space S , by the preceding Lemma . Let then
...
If this process be continued , and the triangles be supposed to be taken away ,
there will at length remain segments of circles which are together less than the
excess of the circle EFGH above the space S , by the preceding Lemma . Let then
...
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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 |