| Robert Simson - Trigonometry - 1762 - 488 pages
...tT TM~ T7 yf T* & El Ei J^JU-UJyiiiiNio PROP. XVI. THEOR. TF four flraight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the meansi and if the rectangle contained by the extremes be equal to the rectangle contained by the... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...e 9. D. PROP. Book VI. it PROP. XVI. THE OR. TF four ftraight lines be proportionals, the re&angle 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,... | |
| Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...proportional, are equal. Which was to be demonftrated. PROP. XVI. If four ftraight 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... | |
| Robert Simson - Trigonometry - 1781 - 534 pages
...triangles, &c. Q^. ED Book V7. »>, ?, ji-. i4' e PROP. XVI. THE ORIF four ftraight 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 reclangle contained by the means, the... | |
| Alexander Ingram - Trigonometry - 1799 - 374 pages
...equal triangles, &.c. Q^ED c i.6. e 9. 5. PROP. XVI. THEOR. IF four flraight lines be proportionals, the recT:angle contained by the extremes is equal to the rectangle contained by the means : And if the reelangle contained by the extremes be equal to therectangle contained by the means, the... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...triangles, &c. Q^ED *. ii. i. t. 7. C. 14. 6. PROP. XVI. THEOR. IF four ftraight 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... | |
| John Playfair - Mathematics - 1806 - 320 pages
...triangle EAD. Therefore, equal triangles, &c. QED PROP. XVI. THEOR. *•* *f* IF four straight 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 extremes be equal to the rectangle contained by the means,... | |
| 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 rectangle contained by the means: and if the rectangle contained by the extremes be equal to the rectangle contained by the means, the... | |
| Euclides - 1816 - 588 pages
...Therefore equal triangles, &c. QED BooK VI. ^^ PROP. XVI. THEOR. 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,... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...EAD. Therefore equal triangles, &c. Q, ED PROP; XVI. THEOR. If four straight lines be proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the. means : .3nd if the rectangle contained by the extremes be equal to the rectangle contained by means, the... | |
| |