 | Robert Simson - 1762 - عدد الصفحات: 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 - عدد الصفحات: 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 - عدد الصفحات: 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 - عدد الصفحات: 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 - عدد الصفحات: 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 - عدد الصفحات: 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 - عدد الصفحات: 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 - عدد الصفحات: 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 - عدد الصفحات: 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 - عدد الصفحات: 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. 
