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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. "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pàgina 51
per John Playfair - 1856 - 318 pàgines
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 414 pàgines
...which the equal sides are opposite. 3. 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. 4. The diameter...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pàgines
...contain the right angle. 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 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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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pàgines
...perpendicular. PROPOSITION V. THEOREM. 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 lint. Let AB be divided...
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Queen's scholarship examination. Amner's eight years' scholarship questions ...

Joseph Wollman - 1879 - 120 pàgines
...parallel to EC. QED 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 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 pàgines
...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 pàgines
...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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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pàgines
...Bisect a finite straight line. 3. If a straight line is divided into two equal parts and also into two unequal parts, the rectangle contained by the...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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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1486 pàgines
...when C is the middle point of AB. 5.If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the...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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The Bombay university calendar, Volum 1

Bombay city, univ - 1880 - 754 pàgines
...the parallelogram is a rhombus. 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 Ijetween the points of section, is equal to the square on half the line. Deduce that the...
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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 346 pàgines
...the line GF passes through A. "• 3. If a straight Hue 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. Prove that the...
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