The Elements of Euclid, Bøker 1-6;Bok 11 |
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Side 68
Let ABC be any triangle , and the angle at B an acute angle ; and on BC one of
the sides containing it , let fall the perpendicular AD from the opposite angle : the
square on AC , opposite to the angle B , shall be less than the squares on CB ,
BA ...
Let ABC be any triangle , and the angle at B an acute angle ; and on BC one of
the sides containing it , let fall the perpendicular AD from the opposite angle : the
square on AC , opposite to the angle B , shall be less than the squares on CB ,
BA ...
Side 92
Let the straight line DE touch the circ ! e ABC at C , and from C let CA be drawn at
right angles to DE : the centre of the circle shall be in CA. For , if not , if possible ,
let F be the centre , and join CF. Then , because DE touches the circle ABC ...
Let the straight line DE touch the circ ! e ABC at C , and from C let CA be drawn at
right angles to DE : the centre of the circle shall be in CA. For , if not , if possible ,
let F be the centre , and join CF. Then , because DE touches the circle ABC ...
Side 115
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 touching the circle at the point [ III . 17 . H at the point A , in the straight ...
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 touching the circle at the point [ III . 17 . H at the point A , in the straight ...
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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 |