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41, Propose par Leo Sauve, College Algonquin Ayant donne logB3 = p et log35 = q, exprimer logioS et log106 en fonction de p et q 42 Proposed by Viktors Linis, University of Ottawa Find the area of a quadrilateral as a function of its four sides, given that the sums of opposite angles are equal
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, Algonquin College, Col. By Campus, 281 Echo Drive, Ottawa, Ont., K1S 5G2. NOTE S FRO M TH E EDITO R 1 On e hundre d seventy-on e copie s o f EUREK A No 4 wer e maile d a fe w day s ago mos t o f the m goin g t o th e Ottaw a region a fe w doze n elsewher e i nOntario
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Ne w subscriber s ar e welcome Get your mathematically-minded friends to send the editor their name, address, and place of employment. He will add them to the mailing list and send them back issues. .
2 Eve n mor e tha n additiona l name s o n th e mailin g list th e edito r woul d like to see greater participation by existing readers, in the form of solutions to problem proposals. To make his job easier, he would like to remind you that solutions, if not typewritten, should be neatly handwritten on signed, separate sheets, in a form suitable for publication.
Th e expressio n "i n a for m suitabl e fo r publication mean s tha t a handfu l of mathematical symbols sprinkled on a page does not constitute a proof. The words and mathematical symbols appearing in your solutions should collectively form recognizable, grammatical, properly punctuated English (or French) sentences, accompanied by neatly drawn diagrams where appropriate. Careful phrasing is conducive to clear thinking. It is not easy to write a proof in which you are convinced that every last comma is exactly where it should be; but what is worth doing is worth doing well.
Regardles
s o f anythin g sai d i n th e las t paragraph th e edito r woul d like to encourage readers who are young or inexperienced in mathematical writing to send in their solutions in spite of a fancied lack of elegance in their presentation. After all,in launching EUREKA, one of the principal aims of the founding members was precisely to help these people in their struggle to achieve mathematical maturity. So do the best you can and send your solutions in; what is worth doing is worth doing badly.
3 Th e mathematica l elit e i n ou r community th e universit y professor s an d gra duat e students ca n hel p a grea t dea l b y submittin g interestin g article s an d mode l solution s t o th e mor e difficul t problems The y wil l themselve s benefi t i n th e end fo r increasingl y competen t hig h schoo l teacher s wil l eventuall yquotesdbs_dbs8.pdfusesText_14