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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 ... - Page 50
by John Keill - 1782 - 399 pages
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 pages
...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, G^make up the whole figure ADEB, which...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...wherefore AG, GE, are equal to twice the rectangle AC, CB ; »nd HF, CK, are the squares of AC, CB; therefore the 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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...wherefore AG, GE are equal to twice the rectangle AC, CB ; and HF, CJTare 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, GE make up the whole figure ADEB, which...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...Therefore AG, t. „ re equal to twice the rectangle AC, CB. And HF, CK are the squares on AC, CB. Therefore the four figures HF, CK, AG, GE are equal to the squares on AC, CB, together with twice the rectangle AC, CB. EntHF, CK, AG^GE make up the whole figure ADEB,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...1. Therefore AG, GEa.re equal to twice the rectangle AC, CB. And HF, CK are the squares on AC, CB. Therefore the four figures HF, CK, AG, GE are equal to the squares on AC, CB, together with twice the rectangle AC, CB. But HF, CK, AG, GE make up the whole figure A...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...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 H. F, CK, AG, GEmake up the whole figure ADEB, which...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 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 twice the rectangle AC, CB : but HF, CK, AG, GE make up the whole figure ADEB, which is the...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...!] Therefore AG, GE are equal to twice the rectangle AC, CB. And HF, CK are the squares on AC, CB. Therefore the four figures HF, CK, AG, GE are equal to the squares on AC, CB, together with twice the rectangle AC, CB. But HF, CK, AG, GEmake up the whole figure ADEB,...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...AG, GE are equal to twice the rectangle AC, CB; and HF, CK are the squares on AC, CB; wherefore 15. 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, GE make up the whole figure ADEB, which...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...Therefore AG, GE are together equal to twice the rectangle AC, CB; And HF, CK are the squares on AC and CB. Therefore the four figures HF, CK, AG, GE are equal to the squares on AC and CB, together with twice the rectangle AC, CB. But HF, CK, AG, GE, make up the whole figure...
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