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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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pagina’s
...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
...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
...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 - 138 pagina’s
...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 - 317 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 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
...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
...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 - 147 pagina’s
...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: The mathematical sciences

William Somerville Orr - 1854
...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
...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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