 | 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 - 588 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 - 234 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 - 436 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 - 36 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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IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. 
