| 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...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.... | |
| 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... | |
| Richard Wormell - 1876 - 268 pages
...made up of the whole and the first mentioned part. .. .. . . 145 9. If a straight line be divided īmo **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.... | |
| 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... | |
| Robert Potts - Geometry - 1876 - 446 pages
...added 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... | |
| Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...Given that a : b '.'. b : c, show that :— a'+6'+c'=(a+6+c) (a-6+c) (20.) Section B.—Geometry. 27. **If a straight line be divided into two equal and also into** t\ro unequal parts, show that the rectangle contained by the unequal parts, together with the square... | |
| 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... | |
| Moffatt and Paige - 1879 - 378 pages
...E. 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...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.... | |
| Euclides - 1879 - 146 pages
...Now BC contains a — x units, hence the analogous result is established.] PROPOSITION IX. THEOREM. **If a straight line be divided into two equal, and...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.... | |
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