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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 Errors, by which Theon, Or Others, Have Long Ago ... - Pàgina 47
per Robert Simson - 1762 - 466 pàgines
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pàgines
...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...
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Report on Foreign Systems of Naval Education

James Russell Soley - 1880 - 346 pàgines
...that 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...
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The Bombay university calendar, Volum 1

Bombay city, univ - 1880 - 754 pàgines
...that 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...
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(Report).

Elizabethan club - 1880 - 156 pàgines
...equal to the squares on PB and PD. 5. If a straight line be divided into two equal parts, and also 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. If O be...
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Transactions, Volum 13

Institution of Surveyors (Great Britain). - 514 pàgines
...sides which contain the right angle. 7. 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. 8. To divide...
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Transactions, Volum 13

Royal Institution of Chartered Surveyors - 1881 - 532 pàgines
...sides which contain the right angle. 7. 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. 8. To divide...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pàgines
...equal to the square on the radius. 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. What is...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pàgines
...the rectangle contained by the parts. II. 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. Reet. AD,...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 292 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...
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The Practical Teacher, Volum 1,Edició 1

1882 - 676 pàgines
...terminated in the other extremity. 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 from...
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