Coloured Quadrangles: A Guide to the Tenth Book of Euclid's ElementsThis is meant as a guide to give access to the tenth book for those who may have lost faith in the commentaries by Thomas Heath, but who shrink from the long wanderings through the Greek text. |
Common terms and phrases
álogos amber line segments amber quadrangles amber rectangle amber whole apotome application of area Coloured Quadrangles commen commensurable in length commensurable in square commensurable magnitudes commensurable with h contain a red contain an amber converse decagon definitions diagram diameter dynatai equal quadrangles Euclid's Elements Greek hinc inc inc incommensurable squares integer lemma Lesser line seg line segments commensurable mean proportional measuring méson plane surface Proof proved R₂ radius ratio rational number rectangle contained red and commensurable red height red line segments red quadrangle red rectangle red segment red square regular pentagon rheté six classes square number square root squares equal sum-of-two-reds sums and differences surable Take four numbers Theorem theory Thomas Heath Timaios translating triangle V(a b whence width word dynamis X'th book