The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 80
en parallelogram. 2. Construct a rhombus equal to a given parallelogram. 3. Divide a parallelogram into four equal parallelograms. 4. If two adjacent sides of a parallelogram be given, its area isgreatest when the sides are perpendicular. 68 EUCLIDS ELEMENTS. Proposition 37. Theorem. Triangles on… … ■A Construction. Produce AD both ways to the points E, F ;through B draw BE parallel to CA, and through C drawCF parallel to BD. [I. 3L Proof. The parallelograms EBCA and DBCF are equal, jbecause they are on the same base EC, and between the sameparallels BC, EF. [L 35. Also the A ABC is half of…
Euclid's Elements · Geometry · Mathematics, Greek
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