 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - Liczba stron: 236
...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 - 1874 - Liczba stron: 360
...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 - Liczba stron: 130
...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 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 - 1876 - Liczba stron: 784
...equal 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... | |
 | Education Department,London - 1876 - Liczba stron: 1010
...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 - 1876 - Liczba stron: 446
...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 - Liczba stron: 562
...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... | |
 | 1878 - Liczba stron: 228
...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 - Liczba stron: 146
...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 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 - 1879 - Liczba stron: 414
...their 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... | |
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THEOR. //' 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. 
