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enabled Kepler to abolish these purely ge-
                                         ometrical makeshifts, and to substitute a
                                         system in which the sun became physically
                                         its controller.
                                            FOOTNOTES:
                                            [1] Phil. Mag ., vol. xxiv., pp. 481-4.
                                            [2]
                                            ˆˆˆˆˆˆˆ¨ ¨ˆ ˆ`¨ˆ ¨¨`ˆ¨ˆ ˆˆˆ` ˆ `¨ˆ` ˆ¨ˆ ˆ¨ˆ
                                            IIIIIII lI IE IIII¿IIIIII II lII I¿IIII III¿III l
                                         ˆˆ ¨¨ˆˆ ˆˆ¨ˆ¨ˆ ˆˆ` ˆ`´ˆˆˆˆ`ˆ`´ˆˆˆˆˆˆ`¨ˆˆˆˆ¨ˆˆ
                                         II¿IIII EIIIII¿I II, IIII II lII I lIIII lII lI IIIIIIIIII
                                                           120
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