 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.  The Element of Geometry - Seite 25von John Playfair - 1836 - 114 SeitenVollansicht - Über dieses Buch
 | J. Goodall, W. Hammond - 1848 - 390 Seiten
...squares described upon the sides containing the right angle. SECTION III. 1. If a straight line be divided into two equal parts, and also into two unequal...of section is equal to the square of half the line. 2. In any triangle the square of the side subtending contained by either of these sides, and the straight... | |
 | Great Britain. Committee on Education - 1848 - 514 Seiten
...the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into two unequal...line between the points of section is equal to the squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less... | |
 | Great Britain. Council on Education - 1848 - 532 Seiten
...the square described upon the sides containing the right angle. Section 3. 1. If a straight line be divided into two equal parts, and also into two unequal...line between the points of section is equal to the squares of half the line. 2. In any triangle the square of the side subtending any acute angle is less... | |
 | 1848 - 542 Seiten
...page 39, 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
...produced, the 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...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
...angle. upon 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...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
...parts. In 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...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... | |
 | Benjamin Greenleaf - 1852 - 348 Seiten
...Then 12=9+3; And 4Xl2X9+3 2 =(3X2X9) 2 ; 441 = 441. THEOREM XIII. 17O. If any quantity or number be divided into two equal parts, and also into two unequal parts, the sum of the squares of the two unequal parts will be double the squares of half the quantity, plus twice... | |
 | Euclid, John Playfair - 1853 - 336 Seiten
...line is divided be denoted by a and b; then, (a+6)* PROP. V. THEOR. If a straight line bcdividedinto two equal parts, and also into two unequal parts;...equal 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 CB,... | |
 | Euclides - 1853 - 176 Seiten
...about the 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...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... | |
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