 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, CB, and twice the rectangle AC, CB. Wherefore, if a straight line be divided,...  Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Page 50by John Keill - 1782 - 399 pagesFull view - About this book
 | Euclid, John Keill - Geometry - 1733 - 444 pages
...GE, aw equal to twice the Re&angle contained under AC, CB-, and HF, CK, are the Squares of AC, CB. Therefore the four Figures HF, CK, AG, GE, are equal to the Squares of AC and CB, with twice the Reftangle contained under AC and CB. But HF, CK, AG, GE, make up the whole Square of AB,... | |
 | John Keill - Geometry - 1772 - 462 pages
...equal to CB } therefore GE fhall be equal to the Redtangle-under AC, and C B. Wherefore the Rectangles AG, and GE, are equal to twice the Rectangle contained...of AC, C B. Therefore the four Figures HF, CK, AG, GF), are equal to the Squares of AC and CB, with twice the Rectangle contained under AC and C B. But... | |
 | Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...equal to the rectangle contained by AC, CB taken twice ; but alfo HF, CK are the fquares of AC, CB ; therefore the four figures HF, CK, AG, GE are equal to the fquares of AC, CB and the rectangle contained by AC, CB taken twice : but HF, CK, AG, GE are the whole... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...wherefore AG, GE are equal to twice the rectangle AC, CB : and HF, CK are the squares of AC, 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... | |
 | Euclides - 1816 - 588 pages
...wherefore AG, GE are equal to twice the rectangle AC, CB : And HF, CK are the squares of AC, 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... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...wherefore AG, GE are equal to twice the rectangle AC, CB : And HF, CK are the squares of AC, 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... | |
 | Euclid - 1826 - 234 pages
...to twice the rectangle contained under AC, св ; and HF, CK, are the squares of AC, св. Wherefore the four figures HF, CK, AG, GE, are equal to the squares of AC, св, and to twice the rectangle AC, св. But HF, CK, AG, GE, make up the whole figure ADEB, which... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...wherefore AG, GE, are equal to twice the rectangle AC, CB; and HF, CK, are the squares of AC, 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... | |
 | Euclid - 1835 - 540 pages
...wherefore AG, GE are equal to twice the rectangle AC, CB : and HF, CK are the squares of AC, 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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...wherefore AG, GE are equal to twice the rectangle AC, CB ; and HF, CK are the squares of AC, 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... | |
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