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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 ... - Strona 147
autor: John Keill - 1782 - Liczba stron: 399
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - Liczba stron: 218
...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 - Liczba stron: 546
...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 - Liczba stron: 292
...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 - Liczba stron: 166
...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 - Liczba stron: 340
...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 - Liczba stron: 52
...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 - Liczba stron: 400
...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 - Liczba stron: 176
...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 - Liczba stron: 534
...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 - Liczba stron: 270
...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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