| Euclid, Thomas Tate - 1849 - 120 páginas
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line **be divided into two equal parts, and also into two...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 at the point D ; the... | |
| 1850 - 398 páginas
...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...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... | |
| Harvey Goodwin - 1851 - 196 páginas
...equal 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...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... | |
| 1851 - 502 páginas
...rectilineal 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...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... | |
| Euclides - 1852 - 152 páginas
...any other division of 8, as into 6 and 2, or 7 and 1.] BOOK II. PROP. V. THEOR. If a straight line **be divided into two equal parts, and also into two...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 at the point D ; the... | |
| Benjamin Greenleaf - 1852 - 348 páginas
...c=3. 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... | |
| Euclides - 1853 - 146 páginas
...parallelograms about the diameter of a square are likewise squares. PROP. V. THEOREM. If a straight 'line **be divided into two equal parts, and also into two...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 at the point D; the rectangle... | |
| Royal Military Academy, Woolwich - 1853 - 400 páginas
...diameter of a square are likewise squares. PROPOSITION V. THEOR. If a straight line be divided inio **two equal parts, and also into two unequal parts,...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 at the point D ; the... | |
| Euclid, John Playfair - 1853 - 336 páginas
...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;...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 in the point D ; the... | |
| Euclides - 1853 - 178 páginas
...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...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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