| 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...the squares on the two unequal parts are together** double of the square an half the line and of the square on the line between the points of section.... | |
| 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...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.... | |
| 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... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...by four times their rectangle" (cor. to Prop. 7). PROP. IX.— THEOREM. (Euc. II. 9.) ij a slraic/ht **line be divided into two equal, and also into two...half the line, together with twice the square on the** part between the points of section. Lot AB be a straight line, which is divided into two equal parts... | |
| Braithwaite Arnett - 1874 - 130 pages
...exterior angle is equal to the two interior and opposite angles. Trisect a given finite straight line. 3. **If a straight line be divided into two equal and also...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.... | |
| 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...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.... | |
| 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...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.... | |
| Euclides - 1874 - 342 pages
...added together in one straight line. Wherefore, 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** cm the two unequal parts are together double of the square on half the line, and of the square on the... | |
| Royal College of Surgeons of England - 1874 - 36 pages
...opposite angles ; and the three interior angles of any triangle are together equal to two right angles. 7. **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... | |
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