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" If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Página 50
por John Playfair - 1842 - 317 páginas
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 páginas
...PROPOSITION 3. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts at the point C: the rectangle...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 páginas
...House of Lords." 1. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle...contained by the two parts, together with the square on the aforesaid part. 2. If a straight line be divided into two equal, and also into two unequal parts,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 páginas
...PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle contained by the two parts together mth the square on the aforesaid part. J> Let the st. line AB be divided into any two parts in C. Then...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 páginas
...divided Mo any two parts, the rectangle contained by the whole line and one of its parti is equal to th* rectangle contained by the two parts, together with the square of the for esaid part. And conversely, if there be a rectangle and the square of one of its sides, the rectangle...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 páginas
...Proposition 3. Theorem.—If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle...aforesaid part. Let the straight line AB be divided in two parts in the point C, then AB.BC=AC.CB+BC\ Upon BC describe (I. 41) the square CE; produce ED...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 páginas
...two right angles. 3. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the • parts is equal to the rectangle...parts, together with the square of the aforesaid part. 4. From a given point, either without or in the circumference of a circle, draw a straight line which...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 páginas
...Proposition III. Theorem. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle...contained by the two parts, together with the square on the aforesaid part. Let the straight line AB be divided into any two parts in the point C. Then...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 páginas
...PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the. rectangle contained by the whole and one of the parts, is equal to the rectangle...contained by the two parts, together with the square on the aforesaid part. Let AB be divided into any two parts at C. Then rect. AB, BC == rect. AC, BC,...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 páginas
...squares. Section III. 1. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle...contained by the two parts together with the square on the aforesaid part. 2. If a straight line be divided into any two parts, the squares on the whole...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 44 páginas
...half the line. 3. If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts is equal to the rectangle...contained by the two parts, together with the square on the aforesaid part 1G Same proposition. Divide a given line so that the rectangle contained by the...
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