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" If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section. Let the straight line AB... "
The Elements of Euclid, containing the first six books, with a selection of ... - Seite 63
von Euclides - 1874
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 Seiten
...squares of the unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided equally in C, and unequally * This proposition is virtually the snme as the second corollary to the...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...squares of the two unequal parts are together doable of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : the squares of AD, DB shall together be...
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The Elements of Euclid

Euclid - 1838 - 470 Seiten
...between the points of section, is equal to the square of half the line. • Let the straight line AH be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB....
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 Seiten
...squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts : the squares of AD, DB are together...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 Seiten
...squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D: the squares of AD, DB shall be together...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 Seiten
...squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts ; The squares of AD, DB are together...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 Seiten
...equal parts are together equivalent to double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point c into two equal, and at D into two unequal parts : the squares of AD, DB are together...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 Seiten
...squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight...the point C, and into two unequal parts in the point J). Then the squares of AD, DB together, shall be double of the squares of AC, CD. CD B From the point...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 Seiten
...squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided at the point C into two equal, and at D into two unequal parts : the squares of AD, DB are together...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 Seiten
...squares of the unequal parts are together double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided equally in C, and unequally in D : the squares of AD, DB are together double of the squares of AC,...
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