A Straightforward Proof of Descartes's Circle Theorem.

Tytuł:: A Straightforward Proof of Descartes's Circle Theorem.
Autorzy:: Levrie, Paul (AUTHOR)
Temat:: DESCARTES, Rene, 1596-1650
MATHEMATICAL formulas
CIRCLE
EVIDENCE
MATHEMATICAL proofs
Źródło:: Mathematical Intelligencer. Sep2019, Vol. 41 Issue 3, p24-27. 4p.
: Czasopismo naukowe

Pełny tekst

\sqrt{r_{1} r_{2} r_{3} s - p} = \sqrt{r_{1} r_{2} r_{4} s - p} + \sqrt{r_{1} r_{3} r_{4} s - p} + \sqrt{r_{2} r_{3} r_{4} s - p} .

\frac{64}{r_{1} r_{2} r_{3} r_{4}} - 64 (\frac{1}{r_{1} r_{2} r_{3}} + \frac{1}{r_{1} r_{2} r_{4}} + \frac{1}{r_{1} r_{3} r_{4}} + \frac{1}{r_{2} r_{3} r_{4}}) u + 32 (^{2} -) u^{2} - 64 u^{3} + 64 u^{4} .

. [Extracted from the article]
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