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" 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 ... - Side 50
av John Keill - 1782 - 399 sider
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1733 - 397 sider
...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,...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 399 sider
...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...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - 309 sider
...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 sider
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...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...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...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...
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The Element of Geometry

John Playfair - 1836 - 114 sider
...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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