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 363
wn through D at K. Then by removing from thegiven polygon the triangle CDE and adding the triangle CKE, weobtain a polygon having the same number of sides as the given polygon,and equal to it in area, but having a less perimeter. [Art. 28. 30. Through a given point P draw a straight line which… … n. 29. Then QOR shall be the required minimum a .For draw any other line QPR to cut off the A OQR.Draw RT parallel to OQ to meet QTR in T.Then PR-=PQ, zTPR-:zQTQ, and zPRT = zPQQ. .-. aPQQ^^aPTR... APRR>APQQ^Add to each the area ROQT. .-. A QOR>aQOR. .. any other straight line through P cuts…
Euclid's Elements · Geometry · Mathematics, Greek
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
