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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. "
The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ... - Page 4
by Euclides - 1821
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Glossographia Anglicana Nova: Or, A Dictionary, Interpreting Such Hard Words ...

Thomas Blount - English language - 1707
...out of the Veins, &c. Extrejm and mean Proportion, a line is divided in Extream and mean Proportion , when the whole line is to the greater Segment, as the greater is to the lefs. Extremity , the end, edge," brink or border of a thing: alfo diflrefs. Extricate. (Lat.)...
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Glossographia Anglicana Nova: Or, a Dictionary, Interpreting Such Hard Words ...

Electronic books - 1707 - 590 pages
...of the Veins, &c, Extreant an:l mian Proportion, a line is divided in Extream and mean Proportion , when the whole line is to the greater Segment, as the greater is to the lefs. Extremity , the end, edge," brink or border of a thing ; alfo diftrefs. Extricate....
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - Euclid's Elements - 1789 - 296 pages
...fecond, of the fecond to the third, and fo on, to the laft. , 8. A right line is faid to be divided in extreme and mean ratio, when the whole line is to the greater fegment, as the greater fegment is to the lefs. PROP. PROP. I. Triangles and parallelograms, having...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...other, as the remaining side of this other is to the reK maining side of the first." III. 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...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 ratio, when the whole is to the greater segment as the greater segment is to the less. IV. The altitude of any figure is...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 542 pages
...the first to the third, the subtriplicate of the ratio of the first to the fourth, &c. 21. A straight line is said to be cut in extreme and mean ratio, when the one segment is a mean proportional between the other segment and the whole line. To facilitate the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 722 pages
...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 ratio, when the whole is to the greater segment, as the greater segment is to the less. 4. The altitude of any figure is...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...as the remaining side of this " oliver is to the remaining side of the first." III. A straight lipe is said to be cut in extreme and mean ratio,, when the whole is to the greater segrnent, as the greater segment js to the less. IV. The altitude of any figure is...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 1819 - 348 pages
...of the second, as the remaining side of the second is to the remaining side of the first. 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...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...a side of the other, as the remaining side of this other is to the remaining side of the first. 3. A right 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...
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