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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 of the line between the points of section, is equal to the square of half the line.
The Elements of Euclid, the parts read in the University of Cambridge [book ... - Página 62
por Euclides - 1846
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Class lessons on Euclid

Marianne Nops - 1882 - 278 páginas
...half their sum. Beet. AD, DB and sq. on CD = sq. on CB. EUCLID'S ENUNCIATION II. 5. If a straight line be divided into two equal parts and also into two...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. Cons. (Euclid's...
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The Practical Teacher, Volumen1,Tema 1

1882 - 676 páginas
...meet, the angles formed by these lines are altogether equal to four right angles. 2. If a straight line be divided into two equal parts, and also into two...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. 3. If a straight...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 páginas
...triangle whose altitude is a units long, and whose base is 6 units long, is £ ab ? If a straight line be divided into two equal parts, and also into two...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. 5. Why cannot we...
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The Oxford examiner, ed. by M.W.I. Shilleto, Temas1-5

Mary W I. Shilleto - 1882 - 418 páginas
...side. The difference of any two sides of a triangle is less than the third side. 3. If a straight line be divided into two equal parts, and also into two...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. Show that (a+x)...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 páginas
...put the corresponding proposition for obtuseangled triangles. SECTION IV. — 1. If a straight line be divided into two equal parts and also into two...contained by the unequal parts, together with the Euclid, Algebra, and Mensuration. 209 square on the line between the points of section, is equal to...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 286 páginas
...line be bisected and produced, the rectangle of the whole line thus produced and the part produced, together with the square of the line between the points of section, is equal to the square of the line made up of the half and the part produced. For, CD being bisected in B and produced in A,...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 páginas
...the same side together equal to two right angles. 5. If a straight line be divided into two equal, 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. 6. The straight...
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The Cambridge Examiner, Volumen2

1882 - 498 páginas
...straight line which shall be bisected in that point. 15. If a straight line be divided into two equal 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. 16. From two given...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1882 - 510 páginas
...of the sides of one of the given rectangles. (20.) Section B. — Geometry. 27. If a straight line be divided into two equal parts and also into two unequal parts, show that the rectangle contained by the unequal parts, together with the square on the line between...
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The Competitor, Volúmenes1-2

1882 - 486 páginas
...nnequal parts, show that 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. 6. Show that if a straight line be divided into any two parts, the sum of the squares...
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