 | 1848 - 542 Seiten
...where a new proof is given of this important theorem. SECTION 3. 1. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, togelher with the square of the line between the points of section, is equal to the square of half... | |
 | 1850 - 400 Seiten
...exterior angle is greater than either of the interior opposite angles. 2. If a right line be divided into two equal parts, and also into two unequal parts;...section, is equal to the square of half the line. 3. In every triangle, the square of the side subtending either of the acute angles, is less than the... | |
 | 1851 - 502 Seiten
...the same side together equal to two right angles. SECTION II.—1. If a straight line be divided into two equal parts, and also into two unequal parts :...section, is equal to the square of half the line. 3. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two... | |
 | Harvey Goodwin - 1851 - 196 Seiten
...what case will the diameter bisect the angle of a parallelogram? 3. If a straight line be divided into two equal parts, and also into two unequal parts,...section, is equal to the square of half the line. 4. Equal straight lines in a circle are equally distant from the centre ; and conversely, those which... | |
 | Euclides - 1853 - 176 Seiten
...diameter of a square are likewise squares. PROPOSITION V. — THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts,...points of section, is equal to the square of half the Une. LET the straight line ab be divided into two equal parts in the point С, and into two unequal... | |
 | Euclides - 1853 - 334 Seiten
...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 Seiten
...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 Seiten
...T) B PROP. V. THEOR. If a straight linele divided into two equal parts, andalsointo twounequalparts; the rectangle contained by the unequal parts, together...parts in the- point C, and into two unequal parts in the point D ; the rectangle AD.DB, together •with the square of CD, is equal to the square of... | |
 | Euclides - 1855 - 270 Seiten
...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... | |
 | Euclides - 1856 - 168 Seiten
...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...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 parts at the point D;... | |
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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 on the line between the points of section, is equal to the square on half the line. 
