 | Dalhousie University - 1888 - 212 pages
...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 - 356 pages
...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 - 538 pages
...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, four times the...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... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 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 - 442 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 - 102 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 - 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... | |
 | 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.... | |
 | Euclid - Geometry - 1892 - 460 pages
...BC = 6; 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...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... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...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, four times the...line and one of the 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.... | |
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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... 
