| 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... | |
| 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... | |
| Henry Major - 1876 - 784 pages
...to the rectangle contained by the two parts, together with the square on the aforesaid part. 2. 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 - 1876 - 130 pages
...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 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... | |
| Education Department,London - 1876 - 1010 pages
...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... | |
| Robert Potts - Geometry, Plane - 1876 - 446 pages
...together in one straight line. Wherefore, if a straight line, &c, QED .1 PROPOSITION IX. THEOREM. If **a straight line be divided into two equal, and also into two unequal** parti; the squares on the two unequal parts are together double of the square on half the line, and... | |
| Civil service - 1878 - 228 pages
...parallelogram with the middle points of either pair of opposite sides will trisect the other diagonal. 3. 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 on the line between the points of... | |
| Euclides - 1879 - 146 pages
...BC contains a — x units, hence the analogous result is established.] 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... | |
| University of Oxford - Greek language - 1879 - 412 pages
...other angles shall be equal, each to each, namely those to which the equal sides are opposite. 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... | |
| Moffatt and Paige - 1879 - 378 pages
...That is, square on semi-diameter is half of the whole square. SECTION IV. (Three Questions.) 1. 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... | |
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