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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 ... - Side 147
av John Keill - 1782 - 399 sider
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 sider
...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 the straight line drawn from its vertex perpendicular to the...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...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 the straight line drawn from its vertex perpendicular to the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...to the remaining side of the first. in. 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...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 166 sider
...such figures are equal to one another. 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 to the 4! The altitude of any figure is the distance between two parallel lines touching the figure,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1847 - 340 sider
...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 js to the less. 4. The altitude of a triangle is the straight line drawn from its vertex perpendicular...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 sider
...the remaining side of the first." HI. 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...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 sider
...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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 sider
...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 the straight line drawn from its vertex perpendicular to the...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 sider
...to the remaining 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. rv. The altitude of any figure is the straight line drawn from its vertex perpendicular to the...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 sider
...to the remaining one 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. A straight line is said to be cut in harmonica! ratio, when the whole is to one of the extreme...
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