Costruzione quadrilatero ciclico - 2

[i]Costruire un quadrilatero ciclico convesso, conoscendo le lunghezze dei suoi lati in un ordine dato.[/i][br][br]La costruzione con relativa dimostrazione segue quanto proposto in appendice ad un articolo “Inequalities that Imply the Isoperimetric Inequality” di Andrejs Treibergs dell’Università dello Utah reperibile all'indirizzo: https://www.math.utah.edu/~treiberg/isoperim/isop.pdf.[br][br]Naturalmente si suppone l’esistenza del quadrilatero convesso e questo si verifica quando la somma delle lunghezze di tre lati è sempre maggiore del quarto lato. Usiamo il metodo di analisi e sintesi. [br][br]Supponiamo di aver costruito il quadrilatero ciclico.[br][img]data:image/png;base64,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[/img][br]Se a > c (se a = c allora il quadrilatero è un trapezio isoscele e se a < c si procede analogamente), le rette AD e BC si incontrano, dalla parte di D, in un punto E. Indichiamo con h la lunghezza di DE e con k la lunghezza di CE. I triangoli AEB e CED risultano simili perché ∠ABE e ∠EDC sono supplementari dello stesso angolo ∠CDA per la proprietà caratteristica dei quadrilateri ciclici di avere gli angoli opposti supplementari. La similitudine dei triangoli implica che:[br][center]a/c = (h + d)/k   e   a/c = (k + b)/h.[/center]Risolvendo rispetto alle incognite h e k si ha:[br][center]h = c(ab + cd)/(a[sup]2[/sup]– c[sup]2[/sup])   e   k = c(ad + bc)/(a[sup]2[/sup] – c[sup]2[/sup]).[/center]In base alle ipotesi su a, b, c e d il triangolo CDE esiste perché sono tutte verificate le disuguaglianze triangolari:[br][center]h + k > c, c + k > h e c + h > k. [/center]Ad esempio per la prima:[br][center]h + k = c(ab + bc + ad + bc)/(a[sup]2[/sup] – c[sup]2[/sup]) = c(a + c)(b + d)/(a[sup]2[/sup] – c[sup]2[/sup]) = c(b + d)/(a – c) > c[/center]perché b + d + c > a.[br][br]Ora è possibile costruire il quadrilatero ciclico ABCD:[list=1][*]Costruiamo i punti A e D a distanza d. Sulla retta AD dalla parte di D costruiamo E tale che la distanza tra D e E sia uguale a h.[/*][*]Costruiamo il punto C intersezione tra la circonferenza di centro D e raggio c e la circonferenza di centro E e raggio k.[/*][*]Costruiamo il punto B intersezione tra la circonferenza di centro A e raggio a e la circonferenza di centro C e raggio b.[/*][/list][img]data:image/png;base64,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[/img][br]Si pone il problema di costruire con riga e compasso segmenti di lunghezza h e k. Le operazioni algebriche coinvolte sono tutte elementari ed è necessaria solo un po’ di pazienza perché gli oggetti geometrici da costruire sono molti.[br]Nella seguente figura dinamica le lunghezze h e k non sono costruite con riga e compasso ma "calcolate". Inoltre vengono considerati anche i casi in cui a = c e a < c.[br][br][br]
La costruzione con riga e compasso del segmento di lunghezza h si trova all'indirizzo https://www.geogebra.org/m/gkkrxwqt. Analogamente si costruisce il segmento di lunghezza k.

Information: Costruzione quadrilatero ciclico - 2