| Isaac Sharpless - 1879 - 266 pagina’s
...the sides about the equal angles proportional. 2. A straight line is cut in extreme and mean ratio **when the whole is to the greater segment, as the greater segment is to the** less. 3. The altitude of a triangle is the straight line drawn from its vertex perpendicular to the... | |
| Isaac Todhunter - 1880 - 400 pagina’s
...to the 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... | |
| Euclid, Isaac Todhunter - 1883 - 400 pagina’s
...to the 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. PROPOSITION 1. THEOREM. Triangles and parallelograms of the same altitude are to one another... | |
| Edward Albert Bowser - 1890 - 393 pagina’s
...proportional between AC and BD. 351. DEF. A straight line is said to be divided in extreme and mean ratio, **when the whole is to the greater segment as the greater segment is to the** less. Thus, the line AB is divided in extreme and mean ratio at 0 if /\ c B Proposition 36. Problem.... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pagina’s
...the 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... | |
| Euclid - 1904 - 456 pagina’s
...very generally omitted. DEFINITION. A straight line is said to be divided in extreme and mean ratio, **when the whole is to the greater segment as the greater segment is to the** less. [Book vI. Def. 5.J PROPOSITION 30. PROBLEM. To divide a given straight line in extreme and mean... | |
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