The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 72
An angle in a segment is the angle contained by two straight lines drawn from
any point in the circumference of the segment to the extremities of the straight line
which is the base of the segment . 9. And an angle is said to insist or stand on the
...
An angle in a segment is the angle contained by two straight lines drawn from
any point in the circumference of the segment to the extremities of the straight line
which is the base of the segment . 9. And an angle is said to insist or stand on the
...
Side 89
Let ABC be a circle , of which D is the centre and AB a diameter : the straight line
drawn at right angles to AB , from its extremity A , shall fall without the circle . For ,
if not , let it fall , if possible , within the circle , as AC , and ' draw Do to the point ...
Let ABC be a circle , of which D is the centre and AB a diameter : the straight line
drawn at right angles to AB , from its extremity A , shall fall without the circle . For ,
if not , let it fall , if possible , within the circle , as AC , and ' draw Do to the point ...
Side 91
And EB is drawn from the centre ; but the straight line drawn at right angles to a
diameter of a circle , from the extremity of it , touches the circle ; [ III . 16 , Corollary
. therefore AB touches the circle . And AB is drawn from the given point A. Q.E.F. ...
And EB is drawn from the centre ; but the straight line drawn at right angles to a
diameter of a circle , from the extremity of it , touches the circle ; [ III . 16 , Corollary
. therefore AB touches the circle . And AB is drawn from the given point A. Q.E.F. ...
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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 |