The Elements of Euclid, Bøker 1-6;Bok 11J.M. Dent & Sons, Limited, 1933 - 298 sider |
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Resultat 1-3 av 37
Side 38
... diameter ; the opposite sides and angles of the figure shall be equal to one another , and the diameter BC shall bi- sect it . Because AB is parallel to CD , and BC meets them , the alternate angles ABC , BCD are equal to one an- other ...
... diameter ; the opposite sides and angles of the figure shall be equal to one another , and the diameter BC shall bi- sect it . Because AB is parallel to CD , and BC meets them , the alternate angles ABC , BCD are equal to one an- other ...
Side 45
... diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC ; and EH , GF parallelograms about AC , that is , through which AC passes ; and BK , KD the other paral- lelograms ...
... diameter of any parallelogram , are equal to one another . Let ABCD be a parallelogram , of which the diameter is AC ; and EH , GF parallelograms about AC , that is , through which AC passes ; and BK , KD the other paral- lelograms ...
Side 114
... diameter of the circle . Let ABC be the given circle , and D the given straight line , not greater than the diameter of the circle : it is required to place in the circle ABC , a straight line equal to D. Draw BC , a diameter of the ...
... diameter of the circle . Let ABC be the given circle , and D the given straight line , not greater than the diameter of the circle : it is required to place in the circle ABC , a straight line equal to D. Draw BC , a diameter of the ...
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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