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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. "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 56
by Euclides - 1845
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...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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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...CB. EUCLID'S ENUNCIATION II. 5. 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. Cons. (Euclid's...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...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 Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...equal to four right angles. 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 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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The Competitor, Volumes 1-2

1882 - 480 pages
...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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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 pages
...triangles. 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 with the Euclid, Algebra, and Mensuration. 209 square on the line between the points of section, is equal to...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1882 - 512 pages
...unequal 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. The vertex A of an isosceles triangle ABC is joined to any point D in the base BC;...
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Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...but shall contain a greater angle. 3. 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. 4. The angle at...
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The Practical Teacher; with which is Incorporated the Practical ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...is (/') units long, is .) ab '/ If a straight line be divided inlo two equal parts, and abo 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 I. 41. Euclid...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 426 pages
...a square. are likewise squares. PROPOSITION 5. THEOREM. unequal parts, together with the square on the line between the points of section, is equal to the square on tuilf the line. Let the straight line AB be divided into two equal parts at the point C, and into...
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