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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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 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, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 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 shall be together...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...with the square of the line between the points of section, is equal to the square of half the line. Let the straight line AB 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 first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 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 books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 178 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 С into two equal, and at d into two unequal parts : the squares of ad, db are together...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 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 geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 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, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Bücher 1

Euclides - 1853 - 334 Seiten
...squares of the two unequal parts shall be double of the square of half the line, and the square of the line between the points of section. Let the straight line AB be bisected in c and divided into two unequal parts AD, DB in D. Then the squares of AD, DB shall be double...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 Seiten
...parts are together double of the square of half the line, and of the ajuare of the line between t he points of section. Let the straight line AB be divided into two equal parts at the point С ала into two uneqnal parts at the point D. The squares of AD and andDB together,...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 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 (Fig. 40) be divided at point C into two equal, and at D into two unequal parts. The squares of AD,...
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