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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. "
Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ... - Pagina 147
door John Keill - 1782 - 399 pagina’s
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising 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...
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The Elements of Plane and Solid Geometry ...

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....
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The Harpur Euclid: An Edition of Euclid's Elements

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...
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A Text-book of Euclid's Elements for the Use of Schools, Boek 1

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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