The Elements of Euclid, Libros 1-6;Libro 11J.M. Dent & Sons, Limited, 1933 - 298 páginas |
Dentro del libro
Resultados 1-3 de 25
Página 1
... extremities of a line are points . 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. A plane ...
... extremities of a line are points . 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. A plane ...
Página 117
... extremities of the other two ; and it will touch the straight lines AB , BC , CA , because the angles at the points E , F , G are right angles , and the straight line which is drawn from the extremity of a dia- meter , at right angles ...
... extremities of the other two ; and it will touch the straight lines AB , BC , CA , because the angles at the points E , F , G are right angles , and the straight line which is drawn from the extremity of a dia- meter , at right angles ...
Página 129
... extremities of the other four ; and it will touch the straight lines AB , BC , CD , DE , EA , because the angles at the points G , H , K , L , M are right angles , [ Construction . and the straight line drawn from the extremity of a dia ...
... extremities of the other four ; and it will touch the straight lines AB , BC , CD , DE , EA , because the angles at the points G , H , K , L , M are right angles , [ Construction . and the straight line drawn from the extremity of a dia ...
Otras ediciones - Ver todas
Términos y frases comunes
ABCD AC is equal adjacent angles angle ABC angle ACB angle BAC angle DEF angle EDF angles equal Axiom base BC bisected centre circle ABC circumference Constr Construction Corollary Definition 15 demonstration diameter double draw equal angles equal to F equiangular equimultiples Euclid Euclid's Elements exterior angle fourth given circle given straight line gnomon greater ratio greater than F Hypothesis less Let ABC Let the straight meet multiple opposite angle parallel to BC parallelogram perpendicular polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION rectangle contained remaining angle right angles segment shewn sides similar and similarly Simson square described square on AC straight line &c straight line AB THEOREM tiples touches the circle triangle ABC triangle DEF twice the rectangle Wherefore