(12/28/97) (Reminder to *REGISTERED* teams: You can now work with Net Team Partners (NTPs) that are not registered, just subscribed to the "mathmagic-7-9- open" list. Feel free to advertize your team name, location and e-mail, along with the geographical location of the desired partner. To do so, just send an e-mail to mathmagic-7-9@mathforum.org. PLEASE remember this only works if you have paid and been included in one of the WELCOMES regularly posted.) ************************************* MathMagic Cycle 26: Level 7-9 Regular ************************************* To determine the length of the hypotenuse of a fourth triangle you and the team members are going to build some diamond-shaped kites, except they are going to be cockeyed. First join two dowels (perpendicular ribs) and string three of the sides (Make sure they are not even - you must have three different lengths of hypotenuses.) You are then going to record these lengths and "measure" the fourth side. Repeat this | process with three more lengths, until you have a + d total of four measurements (choose different sides | every time). Now create a hypothesis that relates -+----------+-----+ the sides and that seems to work with your data. a | c | Use a table like this one (data is given for 1st) | | ab | bc | cd | da | h1 | h2 | h3 | + b ---+----+----+----+--------+--------+--------+ 20"| 15"| 9" | __"| | | | ---+----+----+----+--------+--------+--------| | | | | | | | ---+----+----+----+--------+--------+--------| | | | | | | | ---+----+----+----+--------+--------+--------| | | | | | | | ---+----+----+----+--------+--------+--------| (Hint: Cut the triangles before stringing & use squares and sums) Did you arrive at a formula that perhaps can be applied to all quadrilaterals? ************************************** MathMagic Cycle 26: Level 7-9 Advanced ************************************** In "Mathematical Brain Benders" Stephen Barr offers the following LITERARY QUIZ - (search domain: ON) "The title "Father of" so-and-so has been popularly given to many people: their names are given in the second column, and you are to match these with their putative offspring in the first column. 1 Angling ( ) Abraham 2 Church History ( ) Aeschylus 3 Comedy ( ) Aquinas 4 English Cathedral Music ( ) Aristophanes 5 English Poetry ( ) Ascham 6 English Prose ( ) Athanasius 7 Epic Poetry ( ) Boccaccio 8 Fathers ( ) Chaucer 9 Good Works ( ) Eusebius 10 Greek Music ( ) Francis I 11 Greek Tragedy ( ) St. Gregory of Nyssa 12 History ( ) Hippocrates 13 Italian Prose ( ) Homer 14 Jests ( ) Herodotus 15 Letters ( ) Miller (Joe) 16 Lies ( ) Mississippi 17 Medicine ( ) Mohammed II (Turkey) 18 Moral Philosophy ( ) Palestrina 19 Music ( ) Rebelais 20 Orthodoxy ( ) Satan 21 Ridicule ( ) Tallis 22 The Faithful ( ) Terpander 23 Waters ( ) Walton" Why a literary quiz? Folks involved with math and computers tend to forget that our civilization is the result of thousands of years of accomplish- ments, so we must look at other disciplines for balance and perspective... Work with your NTPs to find out more about these names. ================================== Good luck and best wishes for 1998 MrH