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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: Viz. the First Six Books, Together with the Eleventh ... - Side 53
av Euclid, Robert Simson - 1821 - 516 sider
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...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 - 266 sider
...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
...AB be divided in 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...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
...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
...angle is equal to the squares described on the sides which contain the right angle. SECTION IV. 1. If a straight line be divided into two equal parts and...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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The Bombay university calendar, Volum 1

Bombay city, univ - 1880
...with the 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...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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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
...— Can the 5th proposition of Euclid, Book II., be found in American or French Geometries? viz: "If a straight line be divided into two equal parts, and...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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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...conical tent 8 feet in perpendicular height with a radius of 6 J feet ? t, 2 MATHEMATICS. (2.) 1. If a straight line be divided into two equal parts, and...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. State and explain...
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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 335 sider
...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 Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...likewise squares. PROPOSITION 5. THEOREM. ff a straight line be divided into two equal parts and -dso into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equalto the square on halftheline. Let the straight line...
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