 | Joseph Hughes - Education - 1883 - 568 pages
...the sq. on D is less than the sq. on AB by three limes the sq. on half cl.e line bisected. QED •V If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square of the part of it produced, are together double... | |
 | Dalhousie University - 1884 - 184 pages
...employ in proving the three main properties of parallel straight lines : and thereafter prove them. 2. " If a straight line be bisected and produced to any point, the rectangle of the whole line thus produced and the part produced," etc. Complete the emmtiatioii, prove the proposition,... | |
 | Stewart W. and co - 1884 - 272 pages
...and DF is equal to DB ; therefore the squares of AD, DB are double of the squares of AC, CD. X. — 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 twice... | |
 | George Bruce Halsted - Geometry - 1885 - 389 pages
...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...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 the part produced.... | |
 | Oxford univ, local exams - 1885 - 358 pages
...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 - 394 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...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 the part produced.... | |
 | Great Britain. Education Department. Department of Science and Art - 1886 - 640 pages
...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 - 212 pages
...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... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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... | |
 | Dalhousie University - 1889 - 220 pages
...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 together with the square of half the line bisected is equal to the square of the line which is made up of the half and the part... | |
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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... 
