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" If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means; And if the rectangle contained by the extremes be equal to the rectangle contained by the means, the four straight lines... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Pągina 133
per John Playfair - 1846 - 317 pągines
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813
...be pro. portionals, I he rectangle contained by the extremes is equal to the rectangle contained by the means: and if the rectangle contained by the extremes...means, the four straight lines are proportionals. Prop. XVII. Theor. If three straight lines be proportionals, the rectangle contained by the extremes...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means : And if the rectangle contained 'by the...four straight lines are proportionals. Let the four straight.liilies AB, CD, E, F, be proportionals, viz. as AB to CD, so E to F; the rectangle contained...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pągines
...lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean ; and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals. Let the three straight lines A, B,...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pągines
...lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means : And if the rectangle contained by the extremes be equal to the rectangle contained by means, the four straight lines are proportionals. Let the four straight lines, AB, CD, E, F be proportionals,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819
...lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean : and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals. Prep. XVIII. Prob. Upon a given straight...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 pągines
...hues be proportionals, the. rectangle contained by the extremes is equal to the square of the mean : And if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals. Let the three straight lines A, B,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 pągines
...lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means: and if the rectangle contained by the extremes...AB, CD, E, F be proportionals, viz. as AB to CD, so is E to F; the rectangle contained by AB, F is equal to the rectangle contained by CD, E. From the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 pągines
...lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means : And if the rectangle contained by the extremes be equal lo the rectangle contained by the means, the four straight lines are proportionals. Let Ihf fnur straiuht...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 pągines
...by the means ; And if the reetangle eontained by the extremes be equal to the reetangle eontained by means, the four straight lines are proportionals....be proportionals, viz. as AB to CD, so E to F; the reetangle eontained by AB, F is equal to the reetangle eontained by CD, E. From the points A, C draw...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pągines
...lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean : and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals. Let the three straight lines A, B,...
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