{"id":137822,"date":"2013-12-12T08:00:40","date_gmt":"2013-12-12T06:00:40","guid":{"rendered":"http:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/?p=137822"},"modified":"2013-12-11T13:31:28","modified_gmt":"2013-12-11T11:31:28","slug":"una-leccion-de-geometria-en-el-parrafo-cuadrigentesimo-trigesimo-segundo-de-el-origen-de-las-especies","status":"publish","type":"post","link":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/2013\/12\/12\/137822","title":{"rendered":"Una lecci\u00f3n de geometr\u00eda en el p\u00e1rrafo cuadrigent\u00e9simo trig\u00e9simo segundo de El Origen de las Especies"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone\" src=\"https:\/\/encrypted-tbn3.gstatic.com\/images?q=tbn:ANd9GcQKGf6fpk2zTfTYOt-isu7xeBuhJAFwXqNCDFeQNMD8PO9MtaWGrQ\" alt=\"\" width=\"262\" height=\"192\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>Efectivamente, al recibir su carta, el profesor Miller, de Cambridge, contesta al autor que s\u00ed, \u00a0que es cierto que operando como la abeja, se obtienen panales como los de la abeja. Brillante ge\u00f3metra. Indeed.<\/p>\n<p>&nbsp;<\/p>\n<p><em>432<\/em><\/p>\n<p><em>If a number of equal spheres be described with their centres placed in two parallel layers; with the centre of each sphere at the distance of radius x sqrt(2) or radius x 1.41421 (or at some lesser distance), from the centres of the six surrounding spheres in the same layer; and at the same distance from the centres of the adjoining spheres in the other and parallel layer; then, if planes of intersection between the several spheres in both layers be formed, there will result a double layer of hexagonal prisms united together by pyramidal bases formed of three rhombs; and the rhombs and the sides of the hexagonal prisms will have every angle identically the same with the best measurements which have been made of the cells of the hive-bee. But I hear from Professor Wyman, who has made numerous careful measurements, that the accuracy of the workmanship of the bee has been greatly exaggerated; so much so, that whatever the typical form of the cell may be, it is rarely, if ever, realised.<\/em><\/p>\n<p><em>\u00a0<\/em><\/p>\n<p><em>Si se describe un n\u00famero de esferas iguales, cuyos centros est\u00e9n situados en dos planos paralelos, estando el centro de cada esfera a una distancia igual al radio x la ra\u00edz cuadrada de 2 (o sea, al radio x 1,41421) o a una distancia menor de los centros de las seis esferas que la rodean en el mismo plano, y a la misma distancia de los centros de las esferas adyacentes en el otro plano paralelo; entonces, tomando los planos de intersecci\u00f3n entre las diferentes esferas de los dos planos paralelos, resultar\u00e1n dos capas de prismas hexagonales, unidas entre s\u00ed por bases piramidales formadas por tres rombos, y los rombos y los lados de los prismas hexagonales tendr\u00e1n todos los \u00e1ngulos id\u00e9nticamente iguales a los dados por las mejores medidas que se han hecho de las celdas de la abeja com\u00fan. Pero el profesor Wyman, que ha hecho numerosas medidas cuidadosas, me dice que la precisi\u00f3n de la labor de la abeja ha sido muy exagerada, hasta tal punto, que lo que podr\u00eda ser la forma t\u00edpica de la celdilla pocas veces o nunca se realiza.<\/em><\/p>\n<p>&nbsp;<\/p>\n<p>Lectura aconsejada:<\/p>\n<ul>\n<li><a href=\"https:\/\/digital.csic.es\/handle\/10261\/76630\">\u00a0Manual para detectar la impostura cient\u00edfica: Examen del libro de Darwin por Flourens.<\/a> Digital CSIC, 2013. 225 p\u00e1ginas.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; Efectivamente, al recibir su carta, el profesor Miller, de Cambridge, contesta al autor que s\u00ed, \u00a0que es cierto que operando como la abeja, se obtienen panales como los de la abeja. Brillante ge\u00f3metra. Indeed. &nbsp; 432 If a number of equal spheres be described with their centres placed in two parallel layers; with the centre of each sphere at the distance of radius x sqrt(2) or radius x 1.41421 (or at some lesser distance), from the centres of the six surrounding spheres in the same layer; and at the same distance from the centres of the adjoining spheres in\u2026<\/p>\n","protected":false},"author":86,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ngg_post_thumbnail":0},"categories":[467,6712,22589],"tags":[],"blocksy_meta":{"styles_descriptor":{"styles":{"desktop":"","tablet":"","mobile":""},"google_fonts":[],"version":4}},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/posts\/137822"}],"collection":[{"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/users\/86"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/comments?post=137822"}],"version-history":[{"count":4,"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/posts\/137822\/revisions"}],"predecessor-version":[{"id":137945,"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/posts\/137822\/revisions\/137945"}],"wp:attachment":[{"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/media?parent=137822"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/categories?post=137822"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madrimasd.org\/blogs\/biologia_pensamiento\/wp-json\/wp\/v2\/tags?post=137822"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}