| Education - 1885
...learnt the 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 is made up of the whole... | |
| Dalhousie University - 1888
...side, these two straight lines shall be parallel. 3. If a straight line be diyided into any two parts, **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 of the aforesaid part.... | |
| E. J. Brooksmith - Mathematics - 1889
...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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...identical in method with that of the first of II. 7. L 4/ / J H K /\ i I i 0 F E PROPOSITION 8. THEOREM. **If a straight line be divided into any two parts,...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 up of the whole and that... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 pages
...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 .... | |
| Euclid - Geometry - 1890 - 400 pages
...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... | |
| Rupert Deakin - Euclid's Elements - 1891 - 79 pages
...part, together 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 up of the whole and that... | |
| Seth Thayer Stewart - Geometry - 1891 - 406 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... | |
| Seth Thayer Stewart - Geometry - 1891 - 406 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... | |
| Education - 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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