 | Robert Simson - 1762 - 488 pagine
...CD, fo E to F. Wherefore -'• 14 »• if four, &c. Q._E. D. PROP. XVII. THEOR. TF three ftraight 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... | |
 | Robert Simson - 1775 - 534 pagine
...therefore AB is to CD, fo E to F. Wherefore, if four, &c. D. PROP. XVII. THEO R. TF three ftraight 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... | |
 | Euclid, James Williamson - 1781 - 324 pagine
...are reciprocally 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... | |
 | Euclid - 1781 - 552 pagine
...therefore AB is to CD, fo E to F. Wherefore, if four, &c. D. PROP. XVII. THEO R. }F three ftraight lines be proportionals, the rectangle contained by the extremes is equal to the fquare of the mean : And if the rectangle contained by the extrenies be equal to the fquare of... | |
 | Alexander Ingram - 1799 - 374 pagine
...triangle ADE. Therefore 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... | |
 | John Playfair, Euclid - 1804 - 468 pagine
...to D ; A is a to B, as D to C : but if four » ?.V5. llraight lines be proportionals, the reftangle contained by the extremes is equal to that which is contained by the means b : therefore A.— — — ' b ><>. 6. the reftangle AC — the reftangle BD -, but the reftangle... | |
 | Robert Simson - 1804 - 530 pagine
...ADE. Therefore equal 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... | |
 | Robert Simson - 1806 - 546 pagine
...ABC is equal* e 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 the extremes is equal to the rectangle contained by the means : and if the rectangle contained by the extremes be equal to the... | |
 | Euclid - 1810 - 554 pagine
...to D ; A isa to B, as D to C : but if four straight lines * 7. 5. be proportionals,the rectA B angle contained by the extremes is equal to that •which is contained by the Dmcans^ : therefore the C , . ,. .. , t, Id. C. rectangle contained by A, C is equal to that contained... | |
 | John Mason Good - 1813 - 714 pagine
...rectangle contained by the means, the four straight lines are proportionals. Prop. XVII. Theor. If three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean : and if between the dividing line and the extremities of the rectangle contained... | |
| |
IF three straight 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. 
