(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, 
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regularly posted.)

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MathMagic Cycle 26: Level 7-9 Regular 

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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?


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MathMagic Cycle 26: Level 7-9 Advanced 

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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.

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Good luck and best wishes for 1998
MrH