 | Henry Major - 1873 - 588 σελίδες
...rectangle AC, CB. Coa. 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... | |
 | Euclides - 1874 - 120 σελίδες
...than the square 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 σελίδες
...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... | |
 | Braithwaite Arnett - 1874 - 130 σελίδες
...exterior angle is 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... | |
 | Edward Atkins - 1874 - 426 σελίδες
...of AB and BC 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... | |
 | Royal College of Surgeons of England - 1874 - 36 σελίδες
...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... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 σελίδες
...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 - 360 σελίδες
...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 σελίδες
...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 - 784 σελίδες
...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... | |
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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. 
