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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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Responsions

University of Oxford - Education, Higher - 1863 - 328 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. 9. Divide a given straight line into two such parts that the rectangle contained...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864 - 588 pages
...together 1 10. 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. Hence show that a square is the greatest rectangle of given perimeter. 11. Describe a circle about...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...two unequal parts ; then the rectangle contained by /he unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. (References— Prop. I. 31, 34, 36, 43, 46; n. 4, Cor.) Let the straight line AB...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 360 pages
...parts, together with the square of tAt line between the points of section, is equal to the square of half the line. Let the straight line AB be divided...two equal parts in the point C, and into two unequal pans in the point D ; the rectangle AD.DB, together with the square of CD, is equal to the square of...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...line 1ie divided into two equal parts and also into two unequal parts, the rectangle contained l)y the unequal parts, together with the square on the...the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : the rectangle AD, DB, together with the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...line be divided into two equal parts and also into two unequal parts, the rectangle contained by iht unequal parts, together with the square on the line...the straight line AB be divided into two equal parts at the point C, and into two unequal parts at the point D : the rectangle AD,DB, together with the...
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Papers for the schoolmaster, Volume 4

1868 - 344 pages
...into two unequal parts, the rectal gle 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. Prove this also algebraically. rrove uu In any right angled triangle, the square...
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Examination for women. Examination papers, with lists of syndics and examiners

Cambridge univ, exam. papers - 1870 - 272 pages
...half the line and of the square on the line between the points of section. The square on half the line together with the square on the line between the points of section and the rectangle contained by the parts is equal to half the square on the line. 3. In equal circles,...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...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. CON.— 46. I., Pst. 1, and 31. I. DEM. — 43. I. The complements of the parallelograms...
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The National Schoolmaster, Volumes 7-8

Schools - 1877 - 606 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. Algebra. a'ly'z - at'yz* x- + •tx + 2 i. Reduce to lowest terms - , . „ — and — . — ~ —...
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