 | Euclid - Geometry - 1890 - 442 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 - 538 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... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...straight line which is made up of the half and the part produced. Produce a given straight line so that the rectangle contained by the whole line thus produced, and the part produced, may be equal to the square on half the line. 2. If any point be taken in the diameter of... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...double of the square on half the line, and of the square on the line between the points of section. 10. 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... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...square on the line between the points of section, shall be equal to the square on half the line. 6. If a straight line be bisected and produced to any...together with the square on half the line bisected, shall be equal to the square on the line made up of the half and the part produced. 7. If a straight... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...»hall be greater than the base of the other. 5. If a straight line is bisected and produced to any 22 point, the rectangle contained by the whole line thus produced, and the part of it poduced, together with the square on half the line bisected, is equal to the square on the straight... | |
 | Euclid - Geometry - 1892 - 460 pages
...rectangle which is equal to the square, find the other side. 40. Produce a given straight line so that the rectangle contained by the whole line thus produced and the part produced, may be equal to the square on another given line. 4I. Produce a given straight line so that... | |
 | Yale University - 1892 - 200 pages
...shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 2. 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... | |
 | Henry Sinclair Hall, Frederick Haller Stevens - Geometry - 1892 - 286 pages
...the Examples of the book. On Page 148 (Euclid), Ex. 40, read, "Produce a given straight line so that the rectangle contained by the whole line thus produced and the part produced, may be equal to the square on another given line." Page 148, Ex. 41. Head, "Produce a given... | |
 | James Blaikie - 1892 - 74 pages
...be double the sum of the squares on half the line and on the line between the points of section. 10. If a straight line be bisected and produced to any point, the sum of the squares on the whole line thus produced, and on the part of it produced, shall be double... | |
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If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made... 
