 CB ; wherefore the four figures HF, CK, AG, GE are equal to the squares of AC, CB, and to twice the rectangle AC, CB : but HF, CK, AG, GE make up the whole figure ADEB, which is the square of AB: therefore the square of AB is equal to the squares of AC,...  Elements of geometry: consisting of the first four,and the sixth, books of ... - Page 43by Euclides - 1842Full view - About this book
 | Euclid, John Keill - Geometry - 1723 - 442 pages
...Rectangle contained under AC and CB. But HF, CK, AG, GE, make up the whole Square of AB, •viz. ADEB. Therefore the Square of AB is equal to the Squares of AC, CB, together with twice the Rectangle contained under AC, C B. Wherefore, if a. Right Line be -any how... | |
 | Euclid, John Keill - Geometry - 1733 - 448 pages
...Reftangle contained under AC and CB. But HF, CK, AG, GE, make up the whole Square of AB, w*. ADEB. Therefore the Square of AB is equal to the Squares of AC, CB, together with twice the Re&angle contained under AC, CB. Wherefore, if a Right Line be any how cut,... | |
 | Robert Simson - Trigonometry - 1762 - 466 pages
...the whole figure ADEB which is the fquare of AB. therefore the fquare of AB is equal to the fquares of AC, CB and twice the rectangle AC, CB. Wherefore if a ftraight line, &c. Q^ED COR. From the demonftration it is manifeft, that the parallelo-. grams about... | |
 | John Keill - Geometry - 1772 - 462 pages
...Rectangle contained under AC and C B. But HF, CK, AG, GE, make up the whole Square of AB, viz. ADE B. Therefore the Square of AB is equal to the Squares of AC and CB, together with twice the Rectangle cpntained under AC and C B. Wherefore, if a Right Line be... | |
 | Robert Simson - Trigonometry - 1775 - 520 pages
...the whole figure ADEB, which is the fquare of AB: Therefore the fquare of AB is equal to the fquares of AC, CB and twice the rectangle AC, CB. "Wherefore, if a ftraight line, &c. Q_E. D. CoR. From the demonftration, it is manifeft, that the parallelograms about... | |
 | John Keill - Geometry - 1782 - 399 pages
...Rectangle contained under AC and C B. But HF, CK, AG, GE, make up the whole Square of AB, viz, ADE B. therefore the Square of AB is equal to the Squares of AC and CB, together with twice the Rectangle contained under AC and C B. Wherefore, if a Right Line be... | |
 | Robert Simson - Trigonometry - 1804
...the whole figure ADEB which is the fquare of A^. therefore the fquare of AB is equal to the fquares of AC, CB and twice the rectangle AC, CB. Wherefore if a ftraight line, £c. Q^ED CoR. From the demonftration it is manifeft, that ike parallelograms about... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC, CB, and tq twice the rectangle contained by AC, CB. D Book II. Upon AB describe a the square ADEB, and join... | |
 | John Playfair - Euclid's Elements - 1806 - 320 pages
...the rectangle contained by the parts. Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC, CB, and to twice the rectangle contained by AC, CB, that is, AB2=AC2+CB2+2AC.CB. a 46. 1. Upon AB describe*... | |
 | Euclid - Geometry - 1810 - 518 pages
...HF, CK, AG, GE are equal to the squares of AC, CB, and to twice the rectangle AC, CB : but HF, CK, AG, GE make up the whole figure ADEB, which is the...IF a straight line be divided into two equal parts, aid also into two unequal parts ; the rectangle contained by the unequal parts, together with the square... | |
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