 | George Bruce Halsted - Geometry - 1886 - 394 pages
...-\-b-{-b)-\-b* = (a-\- by, gives us the theorem : If a sect 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 on half the sect bisected, is equivalent to the square on the line which is... | |
 | Great Britain. Education Department. Department of Science and Art - 1886 - 640 pages
...was in 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... | |
 | Richard Anthony Proctor - Geometry - 1887 - 202 pages
...solution. The following is an analogous proposition. PROP. II. — To produce a given straight line AB so that the rectangle contained by the whole line thus produced and the given straight line may be equal to the square on the part produced. Produce AB to C and D, making... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...— Find the locus of a point whose projection on a given fixed line is a given point. Ex. 223. — To produce a given straight line so that the rectangle...contained by the whole line thus produced, and the part produced, shall be equal to the square on half the given straight line. Ex. 224. — The square on... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...bisected, is equal to the square on the 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... | |
 | Queensland. Department of Public Instruction - Education - 1890 - 526 pages
...Admission as Teacher of the Third Class. 2. 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 on half the line bisected, is equal to the square on the straight line which... | |
 | Euclid - Geometry - 1890 - 442 pages
...sq. on BX. 91 Proposition 6. THEOREM — If a straiglit line is 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 on the half of the bisected line, is equal to the square on the straight line... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...being taken at each of its corners, so as to leave a square equal to the square of AC. 4. Show how to 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 of the original line. 5. If a line AB be divided at C so that the... | |
 | James Andrew Blaikie, William Thomson - Geometry - 1892 - 74 pages
...the given straight line. Produce AB and draw CD .LAC, etc. Use § 32, Ex. 1. Compare Euc. II. 14. 4. Produce a given straight line, so that the rectangle...contained by the whole line thus produced, and the part produced, shall be equal to a given square. Let AB be the given straight line, CB a side of the given... | |
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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... 
