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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, Plane and Spherical: With Numerous Practical Problems - Page 58
by Horatio Nelson Robinson - 1868 - 262 pages
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880 - 396 pages
...line is 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. 4. If a straight line fall upon two parallel straight...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...be divided into two equal parts, and alto into two tmeaua. parts • the rectangle contained by the unequal parts, together with the square of the line between the points of tectim (or division), is equal to the tquare of half the line. Let the straight line AB be dmded into...
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Transactions, Volume 13

Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...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 a given straight line into two parts,...
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Transactions, Volume 13

Institution of Surveyors (Great Britain). - Surveying - 514 pages
...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 a given straight line into two parts,...
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The Civil service year book and official calendar

1884 - 266 pages
...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. 4. A segment of a circle being given, describe the...
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Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 pages
...that if a straight line be divided into two equal and also into two unequal parts, the rectangle of the two unequal parts together with the square of the line between the points of section is equal to the square of half the line. 5. Divide a line into two parts so that the rectangle...
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...accuracy, ,] 1. If a straight line be divided into two equal and also into two unequal parts, prove that the rectangle contained by the two unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 2. In obtuse-angled...
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Calendar, for the Year ...

1894 - 278 pages
...given triangle is the pedal triangle. 2. If a straight line be divided into two equal parts and also into two unequal parts, the rectangle contained by the two unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. AB is the diameter...
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Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1074 pages
...to two right 16 angles. 3. If a straight line be divided into two equal parts and also into two 16 unequal parts, the rectangle contained by the two unequal parts, together with the square on the line between the points of section is equal to the square on half the line. 4. If in a circle...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...3. If a straight line be divided into two equal parts, and also into two unequal parts, prove that the rectangle contained by the two unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. Compare the lengths...
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