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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 ... - Pagina 50
door John Keill - 1782 - 399 pagina’s
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pagina’s
...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...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pagina’s
...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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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pagina’s
...therefore 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pagina’s
...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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pagina’s
...wherefore AG, GE are equal to twicie 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 first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 pagina’s
...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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 pagina’s
...wherefore AG, GE are equal to twice the rectangle AC, CB; and HF, CK are the squares on AC, CB ; wherefore the four figures HF, CK, AG, GE, are equal to the squares on AC, CB, and twice the rectangle AC, CB : but .HF, CK, AG, GEmake up the whole figure ADEB, which...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pagina’s
...since GC is equal to CB; (def. 30) therefore also GE is equal to the rectangle AC, CB; therefore tlie four figures HF, CK, AG, GE, are equal to the squares of AC, CB, together with twice the rectangle AC, CB ; but HF, CK, AG, GE, make up the whole figure ADEB, which...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pagina’s
...wherefore AG, GE are equal to twice the rectangle AC, CB ; and HF, CK are the squares on AC, CB ; wherefore the four figures HF, CK, AG, GE, are equal to the squares on AC, CB, and twice the rectangle AC, CB : butllF, CK, AG, (?.Emake up the whole figure ADEB, which...
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