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" If a straight line be divided into any two parts, four times the rectangle contained ~by the whole line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that... "
Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813
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The School World, Volume 3

Education - 1901
...about the diagonal of a rhombus is a rhombus. (5) Divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. Show that there may be two points of division. (6) Equal...
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Annual Report of the Commissioners ..., Volume 68

1902
...Inspector. Mr. HUGHES, District Inspector. i SECTION A. 1. Divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without a circle two straight lines...
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Euclid, Book 1

Euclid, Rupert Deakin - Euclid's Elements - 1903 - 164 pages
...(a + 6)2 + 62 = 2 (a + 6) 6 + a2, where a denotes AC, and 6 denotes CB. PROP. B.— Theorem.— It a straight line be divided into any two parts, four...line and one of the parts, together with the square on the other part, is equal to the square on the line made up of the whole and that part. Let the straight...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...and each of the parts. (Draw a figure.) Ex. 1O92. If a straight line is divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. (Draw a...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 456 pages
...the figure and the leading points of Euclid-s proof. PROPOSITION 8. THEOREM. If a straight line is divided into any two parts, four times the rectangle...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and the...
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Science Examinations ... Reports, Etc

1906
...answers to Q.'s 24, 2f,, 26. Q. 21. Show how to divide a given straight lino into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. If A, B, C be three given straight lines, show how to...
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Mathematics

David Eugene Smith - Mathematics - 1923 - 175 pages
...two lines or two numbers. He also seems to have been able to divide a line into two parts such that the rectangle contained by the whole line and one of the parts is equal to the square on the other part. Expressed algebraically, if a is the length of the line and...
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Parliamentary Papers, Volume 19

Great Britain. Parliament. House of Commons - Bills, Legislative - 1861
...from the opposite angle and the angle aforesaid. 7. If a straight lino be divided into any two parts the rectangle contained by the whole line and one...with the square of the other part is equal to the rectangle contained by the whole line and the latter part together with the square of the former part....
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Elementary Geometry

Olaus Henrici - Congruences (Geometry) - 1888 - 188 pages
...and each of the parts. (Draw a figure.) Ex. 1O92. If a straight line is divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the square on that part together with the rectangle contained by the two parts. (Draw a...
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The Bombay University Calendar, Volume 2

University of Bombay - 1907
...equal area, their sides are equal and conversely. 3. Divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Divide a given straight line into two parts such that...
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