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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... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 60
av Euclid, Isaac Todhunter - 1883 - 400 sider
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Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 sider
...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 - 1891 - 406 sider
...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 ..., Volum 11

1891
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 sider
...thenAC = ii-6. Hence we have a2 + 62 = 2a6 + (a - b)\ PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle...line which is made up of the whole and that part. [As this proposition is of little importance we merely give the figure, and the leading points in Euclid's...
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A Text-book of Geometrical Deductions: Book I [-II] Corresponding to ..., Bok 2

James Andrew Blaikie, William Thomson - 1892
...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, four times the rectangle...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 - 1892
...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 ..., Bok 2

James Blaikie - 1892
...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, Bøker 1-6

Henry Martyn Taylor - 1893 - 504 sider
...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, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 657 sider
...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 - 1897
...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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