 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 ... - Seite 50von John Keill - 1782 - 399 SeitenVollansicht - Über dieses Buch
 | Euclid, John Keill - 1733 - 444 Seiten
...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 - 1772 - 462 Seiten
...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 - 1781 - 324 Seiten
...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 - 1806 - 546 Seiten
...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 Seiten
...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 - 1825 - 1046 Seiten
...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 Seiten
...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 - 1827 - 546 Seiten
...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 Seiten
...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 - 1836 - 148 Seiten
...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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