 | Robert Simson - 1762 - Liczba stron: 488
...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 - Liczba stron: 534
...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 - Liczba stron: 324
...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 - Liczba stron: 552
...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 - Liczba stron: 374
...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 - Liczba stron: 468
...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 - Liczba stron: 530
...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 - Liczba stron: 546
...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 - Liczba stron: 554
...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 - Liczba stron: 714
...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... | |
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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. 
