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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 on the line between the points of section, is equal to the square on half the line. "
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 144
by Euclid, Charles Peter MASON - 1872
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 332 pages
...also into two unequalparts ; 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. Let the straight line AB be divided into two equal parts in the point C, and into...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1847 - 340 pages
...denoted by a and b ; then, PROP. V. THEOR. If a straight linebe divided into two equal parts, andalsoinlo 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. Let the straight...
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Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 388 pages
...equal to the squares described upon the sides containing the right angle. SECTION III. 1. If a straight line be divided into two equal parts, and also into...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. 2. In any triangle...
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Report of the Committee of Council on Education (England and Wales ..., Issue 1

Great Britain. Council on Education - Education - 1848
...equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into...contained by the unequal parts together with the square of the line between the points of section is equal to the squares of half the line. 2. In any triangle...
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Minutes of the Committee of Council on Education: with Appendices, Volume 1

Great Britain. Committee on Education - Education - 1848 - 514 pages
...equal to the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into...contained by the unequal parts together with the square of the line between the points of section is equal to the squares of half the line. 2. In any triangle...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight line be divided into two equal parts, and also into...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. EUCLID S ELEMENTS....
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The English Journal of Education, Volume 2

Education - 1848 - 542 pages
...Geometry," &c. page 39, where a new proof is given of this important theorem. SECTION 3. 1. If a straight line be divided into two equal parts, and also into...parts, the rectangle contained by the unequal parts, togelher with the square of the line between the points of section, is equal to the square of half...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into...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. Let the straight...
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The Calendar of King's College, London

1850 - 398 pages
...triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If a right line be divided into two equal parts, and...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. 3. In every triangle,...
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The English Journal of Education, Volume 5

Education - 1851 - 502 pages
...rectilineal angle. upon the same side together equal to two right angles. SECTION II.—1. If a straight line be divided into two equal parts, and also into...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. 3. The opposite...
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