 | 1848 - 542 sider
...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 the line. — See " Bell's Euclid," prop. 5, bookii. SECTION 4. 1. Construct a triangle whose arc shall be equal... | |
 | Euclid, Thomas Tate - 1849 - 120 sider
...likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the...equal parts in the point c, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal .to the square of CB.... | |
 | 1850 - 400 sider
...of the interior opposite angles. 2. If a right line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the...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 sider
...the angle of a parallelogram? 3. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the...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 sider
...two right angles. SECTION II.—1. If a straight line be divided into two equal parts, and also into two unequal parts : the rectangle contained by the...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 sider
...and 1.] BOOK II. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
 | Euclides - 1853 - 146 sider
...likewise squares. PROP. V. THEOREM. If a straight 'line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the...equal parts in the point C, and into two unequal parts at the point D; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...likewise squares. PROPOSITION V. THEOR. If a straight line be divided inio two equal parts, and also into two unequal parts, the rectangle contained by the...equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB.... | |
 | Euclides - 1853 - 176 sider
...squares. PROPOSITION V. — THEOREM. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the...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 sider
...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... | |
| |
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. 
