{"id":42,"date":"2024-11-16T16:10:17","date_gmt":"2024-11-16T16:10:17","guid":{"rendered":"https:\/\/picoronsdelageometri.live-website.com\/?page_id=42"},"modified":"2024-12-07T09:47:38","modified_gmt":"2024-12-07T09:47:38","slug":"themes-et-syntheses","status":"publish","type":"page","link":"https:\/\/picoronsdelageometrie.fr\/?page_id=42","title":{"rendered":"Th\u00e8mes et synth\u00e8ses"},"content":{"rendered":"\n
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Euler<\/a><\/p>\n\n\n\n

Droite et cercle d’euler, droite de Simson et son enveloppe, droite de Steiner d’un quadrilat\u00e8re, triangles et cercles podaires, c\u00e9viens, orthopole, th\u00e9or\u00e8me de Laisant<\/p>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

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I<\/a>sotomie<\/a><\/p>\n\n\n\n

Outil barycentrique, conjugaison par isotomie, images des droites et des coniques. Point de gergonne, Point de Nagel, sym\u00e9diane, point de Lemoine, cercles de Tucker<\/p>\n\n\n\n

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Cercles d’Appolonius<\/a><\/p>\n\n\n\n

Cercles d’Applloniuss, probl\u00e8me d’Appollonius (les dix cas)<\/p>\n<\/div>\n\n\n\n

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Isogonalit\u00e9 et coniques<\/a><\/p>\n<\/div>\n\n\n\n

isogonalit\u00e9, transformation par conjugaison orthogonale, coniques circonscrites, tangentes aux c\u00f4t\u00e9s d’un triangle.<\/p>\n<\/div>\n<\/div>\n\n\n\n

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Orthopole<\/a><\/p>\n\n\n\n

Orthopole, th\u00e9or\u00e8me de Carnot, lieu, orthopole d’un quadrilat\u00e8re<\/p>\n\n\n\n

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Sym\u00e9tries et triangles<\/a><\/p>\n\n\n\n

expression barycentrique des affinit\u00e9s, sym\u00e9tries par rapport \u00e0 trois droites concourantes, th\u00e9or\u00e8me de Miquel, triangles circumc\u00e9vien, triangle de Furhmann, point X109, point X110 (E.T.C)<\/p>\n<\/div>\n\n\n\n

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Point de Fr\u00e9gier<\/a><\/p>\n\n\n\n

s\u00e9cante \u00e0 une conique \u00e0 centre ou \u00e0 une parabole vue d’un de ses points sous un angle constant, enveloppe, cas de l’angle droit, Point de Fr\u00e9gier<\/p>\n<\/div>\n\n\n\n

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Normale \u00e0 une conique Hyperbole d’Apollonius<\/a><\/p>\n\n\n\n

propri\u00e9t\u00e9s des normales aux coniques, hyperbole d’Apollonius<\/p>\n<\/div>\n\n\n\n

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Hyperbole \u00e9quilat\u00e8re<\/a><\/p>\n\n\n\n

th\u00e9or\u00e8me de pascal, faisceau de Poncelet d’hyperboles \u00e9qulat\u00e8res, de J\u00e9rabek, Kiepert, Feuerbach, g\u00e9n\u00e9ration homographique, g\u00e9n\u00e9ralisation.<\/p>\n<\/div>\n\n\n\n

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Extension des notions d’Euler aux coniques (orthogonalit\u00e9 remplac\u00e9e par la conjugaison et l’involution de Desargues)<\/a><\/p>\n\n\n\n

extensions des notions de: orthocentre, droite et cercle d’Euler, orthopole<\/p>\n\n\n\n

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Th\u00e9or\u00e8mes de Morley, Brocard, Laroche<\/a><\/p>\n\n\n\n

th\u00e9or\u00e8mes de Morley, points et angles de Brocard, orthotransverslae, th\u00e9or\u00e8me de Laroche<\/p>\n\n\n\n

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Probl\u00e8me de Castillon<\/a><\/p>\n\n\n\n

probl\u00e8me de Castillon par les involutions, par les polaires<\/p>\n\n\n\n

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<\/a>Quadrangle<\/a><\/p>\n\n\n\n

quadrangle th\u00e9or\u00e8me de Carnot (Kempen), point d’Euler-Poncelet, de Gergonne-Steiner, cercles podaires, point de Miquel d’un quadrangle<\/p>\n\n\n\n

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<\/a><\/a>Quadrilat\u00e8re complet<\/a><\/p>\n\n\n\n

quadrilat\u00e8re complet, point et cercle de Miquel, quadrilat\u00e8res circonscrits , quadrangles inscrits<\/p>\n\n\n\n

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<\/a><\/a><\/a>Quadrangle harmonique<\/a><\/p>\n\n\n\n

propri\u00e9t\u00e9s du quadrangle harmonique, transformation associ\u00e9e.<\/p>\n\n\n\n

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<\/p>\n","protected":false},"excerpt":{"rendered":"

Euler Droite et cercle d’euler, droite de Simson et son enveloppe, droite de Steiner d’un quadrilat\u00e8re, triangles et cercles podaires, c\u00e9viens, orthopole, th\u00e9or\u00e8me de Laisant Isotomie Outil barycentrique, conjugaison par isotomie, images des droites et des coniques. Point de gergonne, Point de Nagel, sym\u00e9diane, point de Lemoine, cercles de Tucker Cercles d’Appolonius Cercles d’Applloniuss, probl\u00e8me […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-42","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/picoronsdelageometrie.fr\/index.php?rest_route=\/wp\/v2\/pages\/42","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/picoronsdelageometrie.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/picoronsdelageometrie.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/picoronsdelageometrie.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/picoronsdelageometrie.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=42"}],"version-history":[{"count":45,"href":"https:\/\/picoronsdelageometrie.fr\/index.php?rest_route=\/wp\/v2\/pages\/42\/revisions"}],"predecessor-version":[{"id":374,"href":"https:\/\/picoronsdelageometrie.fr\/index.php?rest_route=\/wp\/v2\/pages\/42\/revisions\/374"}],"wp:attachment":[{"href":"https:\/\/picoronsdelageometrie.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=42"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}