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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 ... - Página 50
por John Keill - 1782 - 399 páginas
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## Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - 444 páginas
...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 - 462 páginas
...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 - 324 páginas
...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 - 546 páginas
...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 - 588 páginas
...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 - 1046 páginas
...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 - 234 páginas
...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 - 546 páginas
...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 - 540 páginas
...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 - 148 páginas
...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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