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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...
The Elements of Euclid: With Dissertations Intended to Assist and Encourage ... - Page 42
by Euclid, James Williamson - 1781 - 309 pages

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...lines be proportionals, the rectangle ^ contained by the extremes is equal to the fquare of' the mean: and if the rectangle contained by the extremes be equal to the fquare of the mean, the three ftraigho lines are proportionals. Let the three ftraight lines A, B,...

## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...lines be proportionals, the rectangle contained by the extremes is equal to the fquare of fhe mean : And if the rectangle contained by the extremes be equal to the fquare of the mean, the three flraight lines are proportionals. Let the three ftraight lines A, B,...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...r.• angle ADE. Therefore equal triangles, &c. Q^. ED Book V7. »>, ?, ji-. i4' e PROP. XVI. THE ORIF four ftraight lines be proportionals, the rectangle...rectangle contained by the extremes be equal to the reclangle contained by the means, the four ftraight lines are proportionals. • Let the four ftraight...

## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...four ftraight lines he proportionals, the reflangle contained by the extremes is equal to the re&angle contained by the means : And if the rectangle contained...to the rectangle contained by the means, the four ftrargbt lines are proportionals. Let the four ftraight lines, AB, CD, E, F be proportionals, viz....

## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...lines be proportionals, the reftangle contained by the extremes is equal to the fquare of the mean : And if the rectangle contained by the extremes be equal to the fquare of the mean, the three ftraight lines are proportionals. Let the three ftraight lines A, B,...

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

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...lines be proportionals, the reflangle contained by the extremes is equal to the fquarc of the mean : And if the rectangle contained by the extremes be equal to the fquare of the mean, the three ftraight lines are proportionals. ' Let the three ftraight lines A, B,...

## The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...lines be proportionals, the re&angle contained by the extremes is equal to the fquare of the mean : and if the rectangle contained by the extremes be equal to the fquare of the mean, the three ftraight lines arc proportionals. Let the three ftraight lines A, B,...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...9. 4. t? the triangle ADE. Therefore, equal triangles, &c. QE D, PROP. XVI. THEOR. IF four straight lines be proportionals, the rectangle contained by...to the rectangle contained by the means, the four straight lines are proportionals. Let the four straight lines AB, CD, E, F be proportionals, viz. as...