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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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 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...by AB, F is equal to the rectangle contained by CD, L. From the points A, C draw (11. 1.) AG, CH at right angles to AB, CD; and make AG equal to F, and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 pągines
...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 contain* ed by the means, the four straight lines are proportionals. Let the four straight lines, AB,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...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...CD, so E to F : the rectangle contained by AB, F, shall be equal to the rectangle contained by CD, E. From the points A, C, draw * AG, CH at right angles...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 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. XIX. Similar triangles are to one another...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 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...E to F ; the rectangle contained by AB, F is equal to»the rectangle contained by CD, E. From the points A, C draw (6. 1.) AG, CH at right angles to AB,...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 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...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. t From the...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...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 proportiona Is . Let the three straight lines A, B,...
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The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840
...lines be proportional, the rectangle contained by the extremes is equal to the rectangle contained by the means: and, if the rectangle contained by the...contained by the means, the four straight lines are proportional. PROP. XVII. THEOR. If three straight lines be proportional, the rectangle contained by...
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