The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 130
В , To describe a circle about a given equilateral and equiangular pentagon . Let
ABCDE be the given equilateral and equiangular pentagon : it is required to
describe a circle about it . Bisect the angles BCD , CDE by the straight lines CF ,
DF ...
В , To describe a circle about a given equilateral and equiangular pentagon . Let
ABCDE be the given equilateral and equiangular pentagon : it is required to
describe a circle about it . Bisect the angles BCD , CDE by the straight lines CF ,
DF ...
Side 132
And equal arcs are subtended by equal straight lines ; [ III.29 . therefore the six
straight lines are equal to one another , and the hexagon is equilateral . It is also
equiangular . For , the arc AF is equal to the arc ED ; F B to each of these add the
...
And equal arcs are subtended by equal straight lines ; [ III.29 . therefore the six
straight lines are equal to one another , and the hexagon is equilateral . It is also
equiangular . For , the arc AF is equal to the arc ED ; F B to each of these add the
...
Side 133
To inscribe an equilateral and equiangular quindecagon in a given circle . Let
ABCD be the given circle : it is required to inscribe an equilateral and
equiangular quindecagon in the circle ABCD . Let AC be the side of an
equilateral triangle ...
To inscribe an equilateral and equiangular quindecagon in a given circle . Let
ABCD be the given circle : it is required to inscribe an equilateral and
equiangular quindecagon in the circle ABCD . Let AC be the side of an
equilateral triangle ...
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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 |