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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 92
by Robert Potts - 1876 - 403 pages
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...THEOREM 9. — IST METHOD. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. Sqq. on AD, DB = twice sqq. on AC, CD. Cons.— On AD describe the sq. ADFE. In AE make AG = AC. Through....
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...parts. SECTION IV.— 1. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 2. The angle in that segment of a circle which is less than a semicircle is greater than a right angle....
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...straight line, etc. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 3. In every triangle the square on the side subtending either of the acute angles is less than the...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...a parallelogram. 11. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are together...the square on half the line and of the square on the lines between the points of section. 12. If two sides of a trapezium be parallel, the triangle contained...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and alto into two unequal parts, the squares on the two unequal parts are together...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 on AD, DB shall be together...
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Annual Report

1886 - 568 pages
...the same parallels. 5. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...the line, and of the square on the line between the point? of section. ENGLISH GRAMMAR AND COMPOSITION. FIRST DIVISION. 1. Name and illustrate each kind...
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Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...4. If a straight line be divided into two equal and also into two unequal parts, the squares on thf two unequal parts are together double of the square...square on the line between the points of section. To what algebraical formula would this proposition correspond ? 6. Prove that if a polygon of any number...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1883 - 376 pages
...a straight line be divided into two equal, and also into two unequal parts, the squares on the tu'o unequal parts are together double of the square on...square on the line between the points of section. I. 32. LA. Let AB be divided equally in C and unequally in D. Then must sum of sqq. on AD, DB— twice...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885 - 358 pages
...parallel to one another. 6. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together...square on the line between the points of section. 7. Describe a square upon a given straight line. 8. In obtuse-angled triangles, if a perpendicular...
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Annual Report of the Chief Superintendent of Education

1885 - 608 pages
...must be parallel. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two .unequal parts are together...square on the line between the points of section. 4. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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