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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 of the other part, is equal to the square of the straight line which is made up of the whole and that... "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 86
by Euclides - 1871
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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...whole line thus produced and the part produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. 7. If a straight line be divided into any two parts, the squares on the...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 428 pages
...square on the line between the points of section, are together equal to the square of half the line. 2. If a straight line be divided into any two parts, four times the rectangle of the whole line and one of the parts, together with the square of the other part, is equal to the...
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Plane and Solid Geometry

Seth Thayer Stewart - Geometry - 1891 - 426 pages
...of a line given less than the line to be divided. 20. Divide a given line into two such parts that the rectangle contained by the whole line and one of the parts may be m times the square of the other part, m being any number. 21. Divide a given line into such...
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The Educational Record of the Province of Quebec: The Medium ..., Volume 11

Education - 1891 - 442 pages
...be equal to the square on the other part. 9. If a straight line be divided into any two parts, then the rectangle .contained by the whole line and one of the parts is equal to the rectangle contained by the two parts together with the square on the aforesaid part....
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Book 2

James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...and that part, together with the square on the other part. Enunciations of Euclid, Book II. 181 8. If a straight line be divided into any two parts,...parts, together with the square on the other part, shall be equal to the square on the line made up of the whole and the first part. 9. If a straight...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...half and the part produced. 4. If a straight line be divided into any two parts, four 12 times tho rectangle contained by the whole line and one of the...parts, together with the square on the other part, is equftl to tin1 square on the straight line which is made up of the whole and that part. 5. In every...
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A Text-book of Geometrical Deductions: Corresponding to Euclid, book ..., Book 2

James Blaikie - 1892 - 74 pages
...contained by the whole line and each of the parts. 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts shall be equal to the square on that part, together with the rectangle contained by the parts. 4. If...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...respectively, the angle BAC is a right angle. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts*. Let the...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...respectively, the angle BAC is a right angle. PROPOSITION 3. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two parts*. Let the...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...20, without producing a side of the triangle. 7 6. If a straight line be 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. 8 7. If...
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