 | Euclides - 1853 - 334 σελίδες
...proved. PEOP. V. THEOE. If a straight line be bisected, and also divided into two unequal parts : then the rectangle contained by the unequal parts together with the square of the part of the line intercepted between the points of section, shall be equal to the square of half the... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...л straight line (AB) be divided into two equal parts (inC), and also info two unequal parts (in D), the rectangle contained by the unequal parts, together with the square of (CD), the line between the points of section, is equal to the square of hilf the line : that is, DB... | |
 | John Playfair - 1855 - 340 σελίδες
...T) B PROP. V. THEOR. If a straight linele divided into two equal parts, andalsointo twounequalparts; the rectangle contained by the unequal parts, together...section, is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the- point C, and into two unequal parts... | |
 | Euclides - 1855 - 270 σελίδες
...into turn equal parts, and also into two unequal part'; the rectangle contained by the unequal parta, together with the square of the line between the points of section (or division), is equal to the square of half the line. Let the straight line AB be divided into two... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...triangle, and have one of its angles equal to a given rectilineal angle. Is this a determinate problem? 6. If a straight line be divided into two equal parts,...section, is equal to the square of half the line. Prove this proposition algebraically. 6. Find the centre of a given circle. Shew that if in a circle... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...times that on one of the sides; compare the two sides. 4. If a straight line be divided into two equal and also into two unequal parts; the rectangle contained...of section is equal to the square of half the line. State this result algebraically. 5. Draw a straight line from a given point, either without or in the... | |
 | Euclides - 1856 - 168 σελίδες
...of a square are likewise squares. L. — EUCLID II. 5. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained...section, is equal to the square of half the line. Let the straight line AB (Fig. 40) be divided into two equal parts at the point C, and into two unequal... | |
 | 1857 - 408 σελίδες
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 5. If a straight line be divided into two equal parts, and also into two unequal parts, the reptangle contained by the unequal parts, together with the square of the line between the points of... | |
 | War office - 1858 - 578 σελίδες
...24Z. 12s., and loses 18 per cent, on what the horse cost him ; what was the original cost? Euclid. 1. If a straight line be divided into two equal parts,...of section is equal to the square of half the line. 2. Equal straight lines in a circle are equally distant from the centre ; and those which are equally... | |
 | Euclides - 1858 - 248 σελίδες
...to various operations connected with the extraction of the Square root. PROP. 9. — THEOR. If a st. line be divided into two equal parts, and also into two unequal parts, the squares of the two unequal parts are together double of the square of the half line and of the square... | |
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If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. 
