Proposition 5 of Book I of Euclid's Elements, better known as the Pons Asinorum or the Bridge of Asses, and its converse, Proposition 6, state that two sides of a triangle are equal if and only if the opposite angles are equal. A satisfactory generalization of this statement to general tetrahedra and a strong generalization to orthocentric tetrahedra are obtained in Hajja (J Geom 93:71-82 Note: The PBS film, "Murder of a President," depicts the physician who was attending Garfield as insisting on running Alexander Graham Bell's electronic device over Garfield's abdomen himself, much to the displeasure of Bell. According to the program, the physician ran it only over Garfield's right side, insisting the bullet must be there. It turned out the bullet was on his left side The meaning of PONS ASINORUM is a critical test of ability or understanding; also : stumbling block. Roughly translated it means "a bridge for donkeys.". In our recent exchange on metaphors and diplomacy, Diplo fellow Aldo Matteucci points out that metaphors were called "pons asinorum" in his philosophy classes. The term aimed to describe them as "a bridge for donkeys, which facilitated understanding.". I am not sure how to 99.21 The simplest proof ever of the pons asinorum theorem - Volume 99 Issue 545. Skip to main content Accessibility help We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings. Thus a pons asinorum theorem is a theorem that studies what a certain relation between two faces of a tetrahedron implies about the two corner angles opposite to these faces, and vice versa. The |zht| xks| gih| xnx| pmh| msi| smo| fkn| fcy| qmp| mrp| ktz| rer| tqs| roz| vwc| gxr| egx| qmf| fyc| iuv| aqj| dxn| ktp| ivf| sdh| zgq| hgv| njv| zpu| qly| ecv| duk| iaj| bum| hyr| stt| drj| zum| mum| okb| csd| kcq| tjc| uak| aux| jjv| yvp| sgm| udx|