The Elements of Euclid, Libros 1-6;Libro 11 |
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The extremities of a line are points . a 4. A straight line is that which lies evenly between its extreme points . 5. A superficies is that which has only length and breadth . 6. The extremities of a superficies are lines . 7 .
The extremities of a line are points . a 4. A straight line is that which lies evenly between its extreme points . 5. A superficies is that which has only length and breadth . 6. The extremities of a superficies are lines . 7 .
Página 117
... at the distance of any one of them , will pass through the extremities of the other two ; and it will touch the ... and the straight line which is drawn from the extremity of a diameter , at right angles to it , touches the circle .
... at the distance of any one of them , will pass through the extremities of the other two ; and it will touch the ... and the straight line which is drawn from the extremity of a diameter , at right angles to it , touches the circle .
Página 129
... at the distance of any one of them will pass through the extremities of the other four ; and it will touch the ... and the straight line drawn from the extremity of a diameter , at right angles to it , touches the circle ; [ III .
... at the distance of any one of them will pass through the extremities of the other four ; and it will touch the ... and the straight line drawn from the extremity of a diameter , at right angles to it , touches the circle ; [ III .
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal 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 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 solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole