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" Iff 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... "
Arithmetic, algebra, differential and integral calculus, by W. Rutherford ... - Página 149
por Royal Military Academy, Woolwich - 1853
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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 páginas
...Great importance will be attached to accuracy I\ i. 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. If the straight line PQ is divided in R, so that PQ ....
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 páginas
.../\ i I i 0 F E PROPOSITION 8. THEOREM. 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...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 páginas
...AB, BX — sq. on AB. 88 Proposition 3. THEOREM — 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. XB DE Let...
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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 422 páginas
...square 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 ..., Volumen11

1891 - 442 páginas
...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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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 páginas
...with the square on the other part. 8. If a straight line be divided into any two parta, 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...
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A Text-book of Geometrical Deductions: Corresponding to Euclid ..., Libro 2

James Blaikie - 1892 - 74 páginas
...with the square on the other part. 8. 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 witli the square on the other part, shall be equal to the square on the line made up of the...
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Euclid's Elements of Geometry, Libros 1-6

Henry Martyn Taylor - 1893 - 486 páginas
...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, Libros 1-6;Libro 11

Henry Martyn Taylor - 1895 - 708 páginas
...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 - 446 páginas
...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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