| Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...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... | |
| Education - 1885 - 630 pages
...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...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 and that part,' because... | |
| Oxford univ, local exams - 1885 - 358 pages
...line thus produced, and the part of it 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. 44 SECOND EXAMINATION. PASS. 4. If two circles touch one another externally,... | |
| 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 - 354 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... | |
| Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...line thus produced and the part of it 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. 3. Demonstrate that case of Kuc. II. 13 where the perpendicular falls within... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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. Let AB be bisected at C and produced to D ; ACBD K 7TT M GV then rect.... | |
| 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... | |
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