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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. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 88
by Robert Potts - 1876 - 403 pages
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 pages
...into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Illustrate the truth of this proposition by taking the whole straight line AB to...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...5.— 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...square on half the line. Let the straight line AB be bisected in C, and divided unequally in D ; AT, -pa The rectangle AD, BD, together with the square...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...PROPOSITION V. THEOREM. jy 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. Let the st. line AB be divided equally in C and unequally in P. Then must reel. AD, DB together with sq. on...
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Annual Report

1876 - 710 pages
...rectilineal angle. 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. ENGLISH GRAMMAR AND COMPOSITION. FIRST AND SECOND DIVISIONS. 1. Define case, indicative mood, sentence....
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The Teachers' assistant and pupil teachers' guide, Volume 1

1876 - 400 pages
...the other. 2, 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. ALGEBEA. — 1. Eeduce to lowest terms — — , 9 ., ' — and ** . 5 3 1 7 v, ' 2' Solve the equations...
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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!» 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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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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