The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
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Side 213
... also have the sectors . Let ABC and DEF be equal circles , and let BGC and EHF be angles at their centres , and BAC ... also shall the sector BGC be to the sector EHF . K H Take any number of arcs CK , KL , each equal to BC , and also ...
... also have the sectors . Let ABC and DEF be equal circles , and let BGC and EHF be angles at their centres , and BAC ... also shall the sector BGC be to the sector EHF . K H Take any number of arcs CK , KL , each equal to BC , and also ...
Side 279
... also into 5 , 10 , 20 , 40 , equal parts ; and also into 15 , 30 , 60 , 120 , equal parts . Hence also regular polygons having as many sides as any of these numbers may be inscribed in a circle , or described about a circle . This ...
... also into 5 , 10 , 20 , 40 , equal parts ; and also into 15 , 30 , 60 , 120 , equal parts . Hence also regular polygons having as many sides as any of these numbers may be inscribed in a circle , or described about a circle . This ...
Side 297
... also similar to EF ; [ VI . 21 . therefore OP is about the same diameter with EF . [ VI . 26 . Let GQB be their ... also equal to the side EB ; therefore TE is also equal to PB . Let OS be added to each ; therefore the whole TS is equal ...
... also similar to EF ; [ VI . 21 . therefore OP is about the same diameter with EF . [ VI . 26 . Let GQB be their ... also equal to the side EB ; therefore TE is also equal to PB . Let OS be added to each ; therefore the whole TS is equal ...
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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