 | Robert Potts - 1865 - 528 pages
...side of the first." m. 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. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | Euclides - 1865 - 402 pages
...side of the first.' m. 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. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...remaining side of the first. 3. 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. 4. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | Robert Potts - 1868 - 434 pages
...side of the first." m. 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. IV. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | Euclid - Geometry - 1872 - 284 pages
...to be cut in extreme and mean ratio, when, as the whole is to the greater segment, so is the greater to the less. 3. The altitude of any figure, is a right...described upon a right line, is said to be applied to that line. 5. A parallelogram described upon any part of any right line, is said to be applied to that line... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...was required. QEF DEF. V. 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. PROPOSITION XXX. PROBLEM. (Eucl. vi. 30.) To cut a straight line in extreme and mean ratio. ji £ s... | |
 | Edward Olney - Geometry - 1872 - 472 pages
...9. Prob. — To divide a line in extreme and mean ratio ; that is, so thai the whole line shall be to the greater segment, as the greater , segment is to the less. SOLUTION. — Let it be proposed to divide the line AB in extreme and mean ratio. At one extremity... | |
 | Edward Olney - Geometry - 1872 - 562 pages
...? 9. frob. — To divide a line in extreme and mean ratio ; that is, so that the whok line shall be to the greater segment, as the greater segment is to the less. SOLUTION.— Let it be proposed to divide the line AB in extreme and mean ratio. At one extremity of... | |
 | Euclides - 1874 - 342 pages
...side of the first." 3. 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. .4. The altitude of any figure is the straight line drawn from its vertex perpendicular to the base.... | |
 | James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pages
...the point F. NOTE. — "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 " (Euo. VI., Def. 3). Problem 146. To divide a given straight line AB successively into its half, third,... | |
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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. 
