The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 82
If a point be taken within a circle , from which there falt more than two equal
straight lines to the circumference , that point is the centre of the circle . Let the
point D be taken within the circle ABC , from which to the circumference there fall
more ...
If a point be taken within a circle , from which there falt more than two equal
straight lines to the circumference , that point is the centre of the circle . Let the
point D be taken within the circle ABC , from which to the circumference there fall
more ...
Side 114
A circle is said to be described about a rectilineal figure , when the circumference
of the circle passes through all the angular ... Let ABC be the given circle , and
the given straight line , not greater than the diameter of the circle : it is required to
...
A circle is said to be described about a rectilineal figure , when the circumference
of the circle passes through all the angular ... Let ABC be the given circle , and
the given straight line , not greater than the diameter of the circle : it is required to
...
Side 115
A ; In a given circle , to inscribe a triangle equiangular to a given triangle . Let
ABC be the given circle , and DEF the given triangle : it is required to inscribe in
the circle ABC a triangle equiangular to the triangle DEF . Draw the straight line
GAH ...
A ; In a given circle , to inscribe a triangle equiangular to a given triangle . Let
ABC be the given circle , and DEF the given triangle : it is required to inscribe in
the circle ABC a triangle equiangular to the triangle DEF . Draw the straight line
GAH ...
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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 |