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... | |
| |