 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.  Responsions - Page 6by University of Oxford - 1863Full view - About this book
 | 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...the squares on the two unequal parts are together equal to twice the square on half the line, together with twice the square on the part between the... | |
 | 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... | |
 | 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... | |
 | Edward Atkins - 1876 - 130 pages
...of AB and BC together. (AB+BC)3. Therefore, if a straight line, &c. QED Proposition 9. — Theorem. If a straight line be divided into two equal, and...square on the 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... | |
 | Richard Wormell - 1876 - 268 pages
...made up of the whole and the first mentioned part. .. .. . . 145 9. If a straight line be divided îmo two equal, and also into two unequal parts, the squares...square on the line between the points of section. . . . . . . . . . . . . . . --156 lo. If a straight line be bisected, and produced to any point, the... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...BC and sq. on AC =sum of the eight rectangles and XH = AEFD =sq. on AD. QKD PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and...together double of the square on half the line and of tht square on the line between the points of section. Let AB be divided equally in C and unequally... | |
 | Euclides, James Hamblin Smith - Geometry - 1876 - 376 pages
...BC and sq. on AC =sum of the eight rectangles and XH =AEFD =sq. on AD. QED PROPOSITION IX. THEOREM. If a straight line be divided into two equal, and...the squares on the two unequal parts are together doable of the square on half the line and of the square on the line between the points of section.... | |
 | Henry Major - 1876 - 784 pages
...described upon the other two sides of it ; the angle contained by these two sides is a right angle. 2. If a straight line be divided into two equal, and...also into two unequal parts, the squares on the two nneqnal parts are together double of the square on half the line, and of the square on the lino between... | |
 | Education Department,London - 1876 - 1010 pages
...is the nature of the triangle whose sides numerically represented are 112,147, 84? SECTION III. 1. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts together wit!» the square on the line between the points... | |
| |
