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he result of the study of this problem in the highest mathematics: "Reaumur avait propose au celebre mathematicien Koenig le problem suivant: 'Entre toutes les cellules hexagonales a fond pyramidal compose de trois rhombes semblables et egaux, determiner celle qui peut etre construite avec le moins de matiere?' Koenig trouva qu'une telle cellule avait son fond fait de trois rhombes dont chaque grand angle etait de 109 degres, 26 minutes et chaque petit de 70 degres, 34 minutes. Or, un autre savant, Maraldi, ayant mesure aussi exactement que possible les angles des rhombes construits par les abeilles fixa les grands a 109 degres, 28 minutes, et les petits a 70 degres, 32 minutes. Il n'y avait done, entre les deux solutions qu'une difference de 2 minutes. II est probable que l'erreur, s'il y en a une, doit etre imputee a Maraldi plutot qu'aux abeilles, car aucun instrument ne permet de mesurer avec une precision infaillible les angles des cellules qui ne sont pas assez nettlement definis." Maclaurin, a Scotch physicist, checked Koenig's computations and reported to the Royal Society in London in 1743 that he found a solution in exact accord with Maraldi's measurements, thereby completely justifying the mathematics of the bee architect.] [Footnote 203: The Romans were as curious and as constant in the use of perfumes as we are of tobacco. It is perhaps well to remember that they might find our smoke as offensive as we would their unguents.] [Footnote 204: Indeed one of the marvels of nature is the service which certain bees perform for certain plants in transferring their fertilizing pollen which has no other means of transportation. Darwin is most interesting on this subject.] [Footnote 205: The ancients, even Aristotle, did not know that the queen bee is the common mother of the hive. They called her the king, and it remained for Swammerdam in the seventeenth century to determine with the microscope this important fact. From that discovery has developed our modern knowledge of the bee; that the drones are the males and are suffered by the (normally) sterile workers to live only until one of them has performed his office of fertilizing once for all the new queen in that nuptial flight, so dramatically fatal to the successful swain, which Maeterlinck has described with wonderful rhetoric, whereupon the workers massacre the surviving males without mercy. This is the "driving out" which Varro mentions.] [Footnot
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