| Robert Simson - Trigonometry - 1806 - 546 pages
...the squares of AC, CD : and the square of AF is i 4,7. 1. equal ' to the squares of AE, EF, because AEF is a right angle ; therefore the square of AF is double of the squares of AC, CD : but the squares of AD, DF are equal to the square of AF, because the angle... | |
| Euclides - 1816 - 588 pages
...the squares •47". 1. of AC, CD : And the square of AF is equal' to the squares of AE, EF, because AEF is a right angle ; therefore the square of AF is double of the squares of AC, CD : But the squares of AD, DF, are equal to the square of AF, because the angle... | |
| Euclides - 1826 - 226 pages
...double to the squares of AC and CD. But the square of AF is equal to the squares of AE and EF, because AEF is a right angle ; therefore the square of AF is double of the squares of AC, CD. But the squares of AD, DF, are equal to the square of AF, because the angle... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...the squares of AC, CD: but the square of AF • 47. 1. is equal * to the squares of AE, EF, because AEF is a right angle; therefore the square of AF is double of the squares of AC, CD : but the squares of AD, DF ajre equal to the square of AF, because the angle... | |
| Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...because the angle AEF is right, the square of AF is equal to the squares of AE and EF (XLVII, Book I ), therefore the square of AF is double the squares of AC and CD ; but the square of AF is equal to the squares of AD and DF as the angle ADF is right, therefore the... | |
| Euclid - 1835 - 540 pages
...AC, CD : And the square of AF is equal' to the squares of AE, EF, because AEF is a right i 4.7. 1. angle; therefore the square of AF is double the squares of AC, CD : But the squares of AD, DF are equal to the square of AF, because the angle ADF is a right angle;... | |
| Robert Simson - Trigonometry - 1835 - 544 pages
...of AC, CD: And the square of AF is equal' to the squares of AE, EF, because AEF is a right i 47. l. angle; therefore the square of AF is double the squares of AC, CD : But the squares of AD, DF are equal to the square of AF, because the angle ADF is a right angle;... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...double of the squares of AC, CD. And the square of AF is equal to the squares of AE, EF (I. 47), because AEF is a right angle ; therefore the 'square of AF is double of the squares of AC, CD. But the squares of AD, DF, are equal to the square of AF, because the angle... | |
| Euclides - 1838 - 264 pages
...the squares of *"• '• AC, CD : but the square of AF is equal* to the squares of AE, EF, because AEF is a right angle ; therefore the square of AF is double of the squares of AC, CD : but the squares of AD, DF are equal to the square of AF, because the angle... | |
| Euclid - Geometry - 1845 - 218 pages
...the squares of AC, CD : and the square of AF is equal§ to the § 47. i. squares of AE, EF, because AEF is a right angle ; therefore the square of AF is double of the squares of AC, CD : but the squares of AD, DF are equal to the square of AF, because the angle... | |
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