 | John Playfair - 1847 - 340 sider
...sides of the second, as the remaining side of the second is to the remaining side of the first. 3. A straight line is said to be cut in extreme and mean...is to the greater segment, as the greater segment js to the less. 4. The altitude of a triangle is the straight line drawn from its vertex perpendicular... | |
 | Euclides - 1848 - 52 sider
...side of the other, as the remaining side of this other is to the remaining side of the first." HI. A straight line is said to be cut in extreme and mean...greater segment, as the greater segment is to the less. IV. The altitude of any figure, is the straight line drawn from its vertex perpendicular to the base.... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...side of the other, as the " remaining side of this other is to the remaining side of the first." 3. A straight line is said to be cut in extreme and mean...greater segment as the greater segment is to the less. 4. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | Euclides - 1853 - 176 sider
...a side of the other as the remaining side of this other is to the remaining side of the first. III. A straight line is said to be cut in extreme and mean...greater segment as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | Euclides - 1853 - 334 sider
...other figure as the other about this angle is to the other about the angle in the first figure. III. A straight line is said to be cut in extreme and mean ratio, when it is divided into two parts such, that the whole line is to the greater part as the greater part is... | |
 | William Somerville Orr - 1854 - 534 sider
...the sides of the second as the remaining side of the second is to the remaining side of the first. m. A straight line is said to be cut in extreme and mean...greater segment as the greater segment is to the less. rv. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base,... | |
 | Euclides - 1855 - 270 sider
...second pair, as the remaining опе of the second pair is to the remaining one of the first. III. A straight line is said to be cut in extreme and mean...greater segment, as the greater segment is to the less. A straight line is said to be cut in harmonica! ratio, when the whole is to one of the extreme segments... | |
 | John Playfair - 1855 - 334 sider
...sides of the second, as the remaining side of the second is to the remaining side of the first. 3. A straight line is said to be cut in extreme and mean ratio, when the whole ie to the greater segment, as the greater segment is to the less. 4. The altttude of a triangle is... | |
 | Robert Potts - 1860 - 380 sider
...side of the other, as the remaining side of the other is to the remaining side of the first." III. A straight line is said to be cut in extreme and mean...greater segment, as the greater segment is to the less. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | Euclides - 1861 - 464 sider
...are one an extreme and the other a mean: thus, if AB : BF = CD : EF, the proportion is direct. III. A straight line is said to be cut in extreme and mean...greater segment, as the greater segment is to the less ; thus in the line AB and its parts, » с AB:AC = AC:CB. For EUCLID'S definition, LARDWER substitutes,... | |
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A straight line is said to be cut in extreme and mean ratio, when the whole is to the greater segment as the greater segment is to the less. 
