 BK, it is demonstrated that the parallelogram CL is equal to the square HC. Therefore the whole square BDEC is equal to the two squares GB, HC ; and the square BDEC is described upon the straight line BC, and the squares GB, HC upon BA, AC.  Elements of Geometry: With Notes - الصفحة 179بواسطة John Radford Young - 1827 - عدد الصفحات: 208عرض كامل - لمحة عن هذا الكتاب
 | Colin Macfarquhar, George Gleig - 1801 - عدد الصفحات: 436
...the triangle conftrueteci on the bafe of one ef the fquares, introduces an attiomt and fays, " hut the doubles of equals are equal to one another ; therefore the parallelogram is equal to the fquare." But if from this moi'e of exprtffion any шип conceive the axiom or univerial... | |
 | John Playfair, Euclid - 1804 - عدد الصفحات: 468
...triangle BFC, becaufe thefe alfo are upon the fame bale FB, and between the fame parallels FB, GC. Now the doubles of equals are equal '» to one another^ therefore the parallelogram h 6. Ax. JBL is equal to the fquare GB : And, in the fame manner, by joining AE, BK, it is demonftrated... | |
 | Robert Simson - 1806 - عدد الصفحات: 546
...between the same parallels FB, GC. But the doubles of equals• are equal h to one another : h 6. A* therefore the parallelogram BL is equal to the square GB : and in the same manner, by joining A I'.. BK, it is demonstrated that the parallelogram CL is equal to the square HC : therefore the whole... | |
 | Euclid - 1810 - عدد الصفحات: 554
...between the same parallels FB, GO. But the doubles of equals are equal h to one another : h 6. Ax. therefore the parallelogram BL is equal to the square...manner, by joining AE, BK, it is demonstrated that tie parallelogram CL is equal to the square HC : therefore the • whole square BDEC is equal to the... | |
 | Euclides - 1816 - عدد الصفحات: 588
...the same base FB, and between the same parallels FB, GC. But the doubles of equals are equal h to Al% one another: Therefore the parallelogram BL is equal...square GB : And, in the same manner, by joining AE, BK, 'tis demonstrated, that the parallelogram CL is equal to the square HC; Therefore the whole square... | |
 | Peter Nicholson - 1825 - عدد الصفحات: 1046
...the same base FB, and between the sama parallels FB, GC. But the doubles of equals are equal (6. Ax.} to one another : Therefore the parallelogram BL is. equal to the square GB : And, in (he same manner by joining AE, BK, it ¡s demonstrated that (he parallelogram CL is equal to the square... | |
 | Euclides - 1826 - عدد الصفحات: 226
...they have the same base FB, and are between the same parallels FB, GC. But things which are double of equals are equal to one another; therefore the parallelogram BL is equal to the square BG. In like manner AE, вк, being joined, the parallelogram CL may be also shown to be equal to the... | |
 | Euclid - 1826 - عدد الصفحات: 234
...they have the same base FB, and are between the same parallels FB, GC. But things which are double of equals are equal to one another ; therefore the parallelogram BL is equal to the square BG. In like manner AE, вк, being joined, the parallelogram CL may be also shown to be equal to the... | |
 | Euclid, John Playfair - 1826 - عدد الصفحات: 326
...between the same parallels FB, GC, Now the doubles of equals are equal (6. Ax.) to one another; then-lore the parallelogram BL, is equal to the square GB : And in the same manner, by joining AE,BK, it is demonstrated that the parallelogram CL is equal to the square 1 1C. Therefore, the whole... | |
 | Thomas Perronet Thompson - 1833 - عدد الصفحات: 168
...are on the same base FB, and between the same parallels FB, GC ; but the doubles of equal things arej equal to one another; therefore the parallelogram BL is equal to the square BAGF. In the same way may be shown, that the parallelogram CL is equal to the square ACKH. Therefore,... | |
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