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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. "
A graduated course of problems in practical plane and solid geometry - Side 123
av James Martin (of the Wedgwood inst, Burslem.) - 1876
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - 364 sider
...the Ratio's are in each figure. III. A Right Line is faid to be cut into mean and extreme Proportion, when the Whole is to the greater Segment, as the greater Segment is to the leffer. IV. The Altitude of any Figure, is a Perpendicular Line drawn from the "Top, or Vertex, to...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1733 - 397 sider
...the Ratio's are in each Figure. III. A Right Line is faid to be cut into mean and extreme Proportion, when the whole is to the greater Segment, as the greater Segment is to the le/er. IV. The Altitude of any Figure, is a perpendicular Line drawn from the Top, or Vertex to the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...the remaining fide of this other is to the remaining fide of " the firft." m. A frraight line is fafd to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to thelefs. IV. The altitude of any figure is the ftraight line...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1772 - 399 sider
...in each Figure. III. A Right Line is faid to be cut into mean and extreme Proportion, when the Wbole is to the greater Segment , as the greater Segment is to the le/er. IV. Ibe Altitude of any Figure is a perpendicular Line drawn from the Topt or Vertex ', to the...
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - 1775 - 159 sider
...the remaining one of the laft two is to the remaining one of the firft. 176. Def. 24. A Line is faid to be cut in extreme and mean Ratio, when the Whole...the greater Segment as the greater Segment is to the lefs. • 177. Axiom i. Equimultiples of the fame, or equal Magnitudes, are equal to one another ;...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...remaining fide of this other is to * the remaining fide of the firft." III. A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the lefs. IV. The altitude of any figure is the ftraight line...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...remaining fide of this other is to " the remaining fide of the firft." III. A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the lefs. IV. The altitude of any figure is the ftraight line...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...the remaining fide of the other is to the remaining fide of the firft. III. A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the lefe. "* IV. The altitude of any figure is the ftraight line...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 sider
...the remaining one of the laft two is to the remaining one of the firft. III. A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the lefs. IV. The altitude of any figure is the ftraight line...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...the remaining fide of this other is to the remaining " fide of the firft." A ftraight line is faid to be cut in extreme and mean ratio, when the whole is to the greater fegment, as the greater fegment is to the iefs. IV, The altitude of any figure is the ftraight line...
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