| 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,... | |
| 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,... | |
| 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... | |
| 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.... | |
| 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,... | |
| 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,... | |
| 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,... | |
| 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... | |
| John Playfair - Euclid's Elements - 1806 - 320 pages
...Therefore, equal triangles, &c. QED PROP. XVI. THEOR. *•* *f* IF four straight lines be proportional, **the rectangle contained by the extremes is equal to...to the rectangle contained by the means, the four** straight lines are proportional. Let the four straight lines AB, CD, E, F be proportional, AB to CD... | |
| John Mason Good - 1813 - 714 pages
...proportional, are equal to one 'an. other. Prop. XVI. Theor. If .four straight lines be pro. portionals, I he **rectangle contained by the extremes is equal to the...to the rectangle contained by the means, the four** straight lines are proportionals. Prop. XVII. Theor. If three straight lines be proportionals, the... | |
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