| Euclides, James Hamblin Smith - 1872 - 349 sider
...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 - 1872
...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 - 1873
...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
...the two unequal parts are together double of the square on half the line, and of the square on tlie **line between the points of section. Let the straight line AB be divided into two equal parts** in the point C, and into two unequal parts in the point D ; The squares on AD and DB shall be together... | |
| Euclides - 1874
...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... | |
| Euclides - 1874
...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... | |
| Edward Atkins - 1874
...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... | |
| Braithwaite Arnett - 1874
...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 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... | |
| Royal College of Surgeons of England - 1874 - 13 sider
...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... | |
| Euclides - 1874
...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 unequal parts, the squares** on the two unequal parts are together equal to twice the square on half the line, together with twice... | |
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