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The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises (1880)

Todhunter, I. (Isaac), 1820-1884 · Toronto : Copp, Clark · leaf 60

An illustration from The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises, 1880, leaf 60
gle AB, BC, is equal to the square on AB. Wherefore, if a straight line &c. q.e.d. PROPOSITION 3. THEOREM. If a straight line he divided into any two parts, therectangle contained hy the ichole and one of the parts, isequal to the rectangle contained hy the two parts, togetherwith the square on… … On BC describe the square CDEBproduce ED to F, and through A Adraw A ^parallel to CI) or BE. [1.31. Then the rectangle AEis, equalto the rectangles AD, CE.But A E is the rectangle containedby AB, BC, for it is containedby AB, BE, of which BE is equalto BC; and ^Z> is contained by AC, CB, for CD…

Geometry · Euclid's Elements · Mathematics, Greek

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