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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... "
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 26
by Euclides - 1840
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...VII. THEOREM. lf a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by tlie whole and that part, toaetlier with the square on the other part. Let the straight line AB be...
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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
...7. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with, the square on the other part. Let the straight line AB be divided into...
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The Edinburgh university calendar

Edinburgh univ - 1868 - 334 pages
...sides shall be equal to three given straight lines. State the condition under which it is possible. 3. If a straight line be divided into any two parts,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 4. If two circles touch each other externally,...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other part. s Let AB be divided into any two parts in...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...VII. THEOREM. If a straight line be dirided into any two parts, the squaret on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the other part. l» TM Let AB be divided into any two parts...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 580 pages
...the square of CD. VII. — If a straight line he divided into any two part*, the squares of the wJwle line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let AB be divided into any two parts in...
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The Madras University Calendar

University of Madras - 1873 - 436 pages
...If a straight line be divided into any two parts, prove that the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. VI. From any point D in the side CA of a...
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A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ...

Euclides - 1874 - 120 pages
...7. THEOREM. If a straight line l>e divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...7.— Theorem. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...— Theorem. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let the straight line AB be divided into...
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