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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 part, is equal to the square of the straight line which is made up of the whole and that... "
The Educational Record of the Province of Quebec: The Medium Through which ... - Side 186
1891
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The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884 - 150 sider
...contained by AB and CE, AB and EF, AB and FD. QED vj COR. 1. If a straight line is divided into 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. This follows from Theor....
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 sider
...together with the square of AC. VIII. — 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...
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The Practical Teacher, Bind 4

1885 - 630 sider
...proposition given to him in the form of—' If a straight line be divided into any two pans, four times the rectangle contained by the whole line and one of the parts, together with the square on the other part, is equivalent to the square of the straight line, which...
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Calendar of Dalhousie College and University

Dalhousie University - 1889 - 220 sider
...section is equal to the square of half the line. 5. Divide a line into two parts so that the rectangle of the whole line and one of the parts is equal to the square of the other part. m mn m+n „ ??in 6. Shew that a X a = a , and that - = a a" 7. One vessel...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 356 sider
...the sum and difference of two given straight lines. 5. Divide a straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. If AB be divided in C so that the rectangle AB, BC...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - 1890 - 442 sider
...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 AB be a st. line...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
.../\ 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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Sandhurst Mathematical Papers for Admission Into the Royal Military College ...

Royal Military College, Sandhurst - 1890 - 144 sider
...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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Plane and Solid Geometry

Seth Thayer Stewart - 1891 - 426 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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Rider Papers on Euclid (books I. and II.)

Rupert Deakin - 1891 - 102 sider
...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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