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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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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 páginas
...between the same parallels (I. 39). Therefore DE is parallel to EC. QED 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 square on the line between the points of section is equal to the square on half the line. Construct a rectangle...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 páginas
...likewise squares. 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 with the square on the line between the points of section, is equal to the square on half the line. Let the straight...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 282 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, w equal to the square of the line made up of the half and the part produced. For, CD being bisected...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 páginas
...C, the squares on AC, CB together are least when C is the middle point of AB. 5.If a straight line be divided into two equal parts, and also into two...section, is equal to the square of half the line. The difference between the squares on any two straight lines is equal to the rectangle contained by...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 páginas
...line, an acute-angled triangle, a rhomboid. 2. Bisect a finite straight line. 3. If a straight line is divided into two equal parts and also into two unequal...section, is equal to the square of half the line. 4. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 páginas
...than four times the square on AD, the triangle BAG is an acute-angled triangle. 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 the square...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 páginas
...which are about the diameter of any parallelogram, are equal to one another. 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. 4. Divide a given...
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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 346 páginas
...produced until EF=EB, and GJJ=DC, show that the line GF passes through A. "• 3. If a straight Hue 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. Prove that the...
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The Educational Journal of Virginia

Charles Henry Winston, Richard M. Smith, D. Lee Powell, John Meredith Strother, H. H. Harris, John Patrick McGuire, Rodes Massie, William Fayette Fox, Harry Fishburne Estill (F.), Richard Ratcliffe Farr, John Lee Buchanan, George R. Pace - 1880 - 516 páginas
...proposition of Euclid, Book II., be found in American or French Geometries? viz: "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 of one-half the line." This truth...
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The Bombay university calendar, Volumen1

Bombay city, univ - 1880 - 750 páginas
...diagonal through the same angular point, prove that the parallelogram is a rhombus. 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 Ijetween the points of section, is equal to the square on half the line. Deduce that the...
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