The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
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Side 82
... circle , from which there fall more than two equal straight lines to the circum- ference , 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 than ...
... circle , from which there fall more than two equal straight lines to the circum- ference , 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 than ...
Side 85
... circle cannot touch another on the inside at more points than one . Nor can one circle touch an- other on the outside at more points than one . For , if it be possible , let the circle ACK touch the circle ABC ... circle ACK , the straight ...
... circle cannot touch another on the inside at more points than one . Nor can one circle touch an- other on the outside at more points than one . For , if it be possible , let the circle ACK touch the circle ABC ... circle ACK , the straight ...
Side 115
... 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 . A ; at the point A ...
... 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 . A ; at the point A ...
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Vanlige uttrykk og setninger
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