| Euclid, Charles Peter MASON - Geometry - 1872 - 216 pages
...square 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... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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... | |
| Henry Major - Student teachers - 1873 - 592 pages
...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 unequal parts, the squares** on the two unequal parts are together equal to twice the square on half the line, together with twice... | |
| Edward Atkins - 1874 - 426 pages
...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 - 130 pages
...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... | |
| Euclides - 1874 - 120 pages
...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... | |
| Euclides - 1874 - 342 pages
...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 - 34 pages
...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... | |
| Isaac Todhunter - Plane trigonometry - 1874 - 360 pages
...x = a + Ъ, 4. If sin 30 = sin в cos 20 then & = -^ where и is zero or aa integer. 5. If an angle **be divided into two equal and also into two unequal parts, the** product of the sines of the unequal parts together with the square of the sine of the angle between... | |
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