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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 Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pagina’s
...remaining side of the first." III. A straight line is said to be cut in the 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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 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 Element of Geometry

John Playfair - 1836 - 114 pagina’s
...the remaining one of the first. II. A straight line maybe 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. III. When two magnitudes can be divided into any number of equal parts, so that a part of one...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 pagina’s
...towards or from the point of concourse. 4. A straight line is said to he cut in extreme and mean ratio, when the whole is to the greater segment, as the greater segment is to the less. 5. A straight line is said to be harmonically divided, when it is divided into three segments...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...second to the remaining side of the first. III. A straight line is said to be cut in extreme and mean proportion, 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 plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840
...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 its...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 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 n/ti/>'(]<: of any figure is the straight line drawn from its vertex perpendicular to...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 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 is to the less. 4. The altitude of a triangle is the straight line drawn from its vertex perpendicular to the...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...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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