 | 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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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... 
