 | James Maurice Wilson - 1869 - 260 pages
...lines is equivalent to the difference of the squares tin those lines 6l One Corollary. THEOREM 28. If a straight line be divided into two equal and also into two unequal segments, the squares of the two unequal segments are together double of the square of half the line... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...into two equal parts. If the diagonals of a quadrilateral bisect one another, it is a parallelogram. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the... | |
 | Euclides - 1870 - 270 pages
...the extraction of the Square root. PROP. 9. — THBOB. If a st. line be divided into two equal parts, and also into two •unequal parts, the squares of the two unequal parts are togetJier double of the square of the half line and of the square of the line between the points of... | |
 | Euclides - 1871 - 136 pages
...BC and sq. on AC =sum of the eight rectangles and XH =AEFD = sq. on AD. X X 0 K Tf -U -XZ~ F p -R 0 If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square an half the line and of the square on the... | |
 | Edinburgh univ - 1871 - 392 pages
...has the greater angle is greater than the base of the other. A complete demonstration is required. 4. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...of the eight rectangles and XH =AEFD — sq. on AD. QED JC G ^ V 0 JT j> it PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...on the hypotenuse is equal to the sum of the squares on the other two sides. (I. 47.) 2. That if a line be divided into two equal, and also into two unequal parts, the rectangle contained by the unequal parts together with the square on the part between the points of... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...rectangle AC, CB. Coa. The parallelograms about the diameter of it square, are likewise squares. ,7\ V. — If a straight line be divided into two equal, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of... | |
 | Edward Atkins - 1874 - 426 pages
...of AB and BC together. (AB+BC>». Therefore, if a straight line, &c. QED Proposition 9. — Theorem. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the... | |
 | Euclides - 1874 - 120 pages
...than the square on the sum of the two lines by the square on their difference. PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the... | |
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If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. 
