| GEORGE BRUCE HALSTED - 1885
...BC put b, then the above equation, a(a + b + b) + b2 = (a + #)2, gives us the theorem : /X" # sect **be bisected, and produced to any point ', the rectangle...the part of it produced, together with the square** on half the sect bisected, is equivalent to the square on the line which is made up of the half and... | |
| Oxford univ, local exams - 1885
...5. Equal triangles on the same base, and on the same side of it, are between the same parallels. 6. **If a straight line be bisected, and produced to any point, the** square on the whole line thus produced, and the square on the part of it produced, are together double... | |
| George Bruce Halsted - Geometry - 1886 - 366 pages
...BC put b, then the above equation, a(a -\-b-{-b)-\-b* = (a-\- by, gives us the theorem : If a sect **be bisected, and produced to any point, the rectangle...the part of it produced, together with the square** on half the sect bisected, is equivalent to the square on the line which is made up of the half and... | |
| Great Britain. Education Department. Department of Science and Art - 1886
...the cask at first. (25.) B. 27. If a straight line is bisected and produced to any point, show that **the rectangle contained by the whole line thus produced, and the part** produced, together with the square on half the line, is equal to the square on the line made up of... | |
| Dalhousie University - 1888
...together with the square of the aforesaid part. 4. Prove, either by a diagram or in any other way, that **if a straight line be bisected and produced to any point, the** square of the whole line thus produced, and the square of the part of it produced, are together double... | |
| Dalhousie University - 1889
...the ratio of i.-V/sT 4. If a straight line be bisected and produced to any point, the rectangle of **the whole line thus produced and the part of it produced...half the line bisected is equal to the square of the** line which is made up of the half and the part produced : also deduce the geometrical proof of the... | |
| E. J. Brooksmith - Mathematics - 1889
...two of its sides equal to two given straight lines each to each. 4. If a straight line is b-sected **and produced to any point, the rectangle contained by the whole line thus produced and the part** produced, together with the square on half the line bisected, is equal to the square on the line which... | |
| Queensland. Department of Public Instruction - Education - 1890
...that AF is greater than the diagonal of the square. For Admission as Teacher of the Third Class. 2. **If a straight line be bisected and produced to any...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... | |
| Euclid - Geometry - 1890 - 400 pages
...ie rect. under AY, YB + sq. on XY = sq. on BX. 91 Proposition 6. THEOREM — If a straiglit line is **bisected and produced to any point, the rectangle...the part of it produced, together with the square** on the half of the bisected line, is equal to the square on the straight line made up of the half and... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...AC, CD+sqs. on CB, CD, [II. 7. = twice sq. on AC + twice sq. on CD (vAC=CB). PROPOSITION 10. THEOREM. **If a straight line be bisected and produced to any point, the** squares on the whole line thus produced and the part produced are together double of the square on... | |
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