 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...PROPOSITION 10. THEOREM. 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...bisected and of the square on the line made up of the halj and the part produced. Let the straight lme AB be bisected at C, and produced to D : the squares... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...PROPOSITION 10. THEOREM. 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...bisected and of the square on the line made up of tlie halj and the part produced. Let the straight lino AB be bisected at C, and produced to D : the... | |
 | Robert Potts - 1868 - 434 pages
...together with the square on half the line bisected, i3 equal to the square on the straight line which is made up of the half and the part produced. Let the...line AB be bisected in C, and produced to the point />• Then the rectangle AD, DB, together with the square on CB, shall be equal to the square on CD.... | |
 | James Maurice Wilson - Geometry - 1868 - 132 pages
...the squares of the two unequal parts are together double of the square of half the Hue bisected, and the square on the line made up of the half and the part produced ........ 62 THEOREM 29. In any right-angled triangle the square on the hypothenuse is equivalent to... | |
 | Euclides - 1871 - 136 pages
...the squares on AD, BD. 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...made up of the half and the part produced. Let the st. line AB be bisected in C and produced to D. Then must sum ofsqq. on AD, BD = twice sum ofsqq. on... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...PROPOSITION X. THEOREM. 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 if the square on half the line bisected and of the square on the line made up of the half and the part... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...the square on the produced part, is equal to twice the square on half the line together with twice the square on the line made up of the half and the part produced. The propositions required for the construction and proof in this proposition are the same as in the... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...part of it produced, aro together twice the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let AB be bisected in C, and produced to D ; then the squares of AD, DB, are twice the squares of AC, CD'... | |
 | Euclides - 1874 - 120 pages
...PROPOSITION 10. THEOREM. If a straight line 6« bisected, and produced to any point, the square on the whole line thus produced, and the square on the part...the line made up of the half and the part produced. j Let the straight line AB be bisected at C, and ' • produced to D : the squares on AD, DB shall... | |
 | 1874 - 682 pages
...7? 1U Geometry — 1. 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...the line made up of the half and the part produced. 2. To a given straight line apply a parallelogram which shall be equal to a given triangle, and hare... | |
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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 of the square on half the line bisected, and of the square on the line made up of the... 
