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" If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. "
Special Reports on Educational Subjects - Page 436
by Great Britain. Board of Education - 1912
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry - 1876 - 446 pages
...the angle CBD. 3. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...the line between the points of section, is equal to &e. (5, IL) 9. In every triangle, the square on the side subtending an acute angle is less than the...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 pages
...equal and also into two unequal parts, the rectangle contained by the unequal parts together wit!ยป the square on the line between the points of section is equal to the square on h:ilf the line. If the t\vo unequal parts are in the ratio 1 : 7 the rectangle contained by the unequal...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 pages
...right angles. 2. If a straight line be divided into two eqnal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between tho points of section, is equal to the square on half the line. 3. In obtuse angled triangles, if a...
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The College calendar. [Continued as] The College calendar for the United ...

Scotland free church - 134 pages
...the third. 3. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. 4. To describe a square upon a given straight line. 5. To describe a right-angled triangle upon a given...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 pages
...equal to CN. 4. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. 5. In every triangle, the square on the side subtending either of the acute angles, is less than the...
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Complete guide to the certificate and scholarship examinations, by a head ...

J T. Amner - 1878 - 226 pages
...angle. Section 4. 1. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. Construct a rectangle equal to the difference of two given squares. 2. If a straight line drawn through...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

Civil service - 1878 - 228 pages
...the other diagonal. 3. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. Find the greatest rectangle having a given perimeter. 4. The angle at the centre of a circle is double...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...PROPOSITION V. THEOREM. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the unequal parts, together...the line between the points of section, is equal to flu, square on naif the line. <? F Let the st. line AB be divided equally in C and unequally inD. Then...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...Proposition V. Theorem. If a straight line be divided into two equal parts and alsc into two unequal parts ; the rectangle contained by the unequal parts, together...section, is equal to the square on half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pages
...SECTION IV. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts together...of section is equal to the square on half the line. Construct a rectangle equal to the difference of two given squares. Let A and B be the sides AB of...
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