 ... will be greater than a quadrant. Let ABC be a right angled spherical triangle ; according as the two sides AB, AC are of the same or of different affection, the hypotenuse BC will be less, or greater than a quadrant. The...  A Treatise of Practical Mathematics - Page 195by Andrew Bell - 1842Full view - About this book
 | Robert Simson - 1806 - 546 pages
...XIV. IF the two sides of a right angled spherical triangle be of the same affection, the hypothenuse will be less than a quadrant ; and if they be of different affection, the hypothenuse will be greater than a quadrant. Let ABC be a right angled spherical triangle, if the two... | |
 | John Playfair - 1819 - 350 pages
...Therefore, &c. QED B \ PROP. XV. If the two sides of a right angled spherical triangle about the right anglt be of the same affection, the hypotenuse will be less...hypotenuse will be greater than a quadrant. Let ABC be a right angled spherical triangle ; according as the two sides AB, AC are of the same or of different... | |
 | John Playfair - 1819 - 354 pages
...right angled spherical triangle about the right angle be of the same affection, the hypotenuse wll be less than a quadrant ; and if they be of different...hypotenuse will be greater than a quadrant. Let ABC be a right angled spherical triangle ; according as the two aides AB, AC are of the same or of different... | |
 | Euclid, John Playfair - 1826 - 326 pages
...the two sides of a right angled spherieal triangle about the right angle be of the same affeetion, the hypotenuse will be less than a quadrant; and if they be of different affeetion, the hypotenuse will be greater than a quadrant. Let ABC be a right angled spherieal triangle... | |
 | Robert Simson - 1827 - 546 pages
...• If the two sides of a right angled spherical triangle be of the same affection, the hypothenuse will be less than a quadrant ; and if they be of different affection, the hypothenuse 'will be greater than a quadrant. Let ABC be a right angled spherical triangle, if the... | |
 | Euclid - 1835 - 540 pages
...PROP. XIV. FIG. 9, 10. If the two sides of a right angled spherical triangle about the right angle be of the same affection, the hypotenuse will be less...hypotenuse will be greater than a quadrant. Let ABC be a right angled spherical triangle ; according as the two sides AB, AC are of the same or of different... | |
 | Robert Simson - 1835 - 544 pages
...PROP. XIV. FIG. 9, 10. , If the two sides of a right angled spherical triangle about the right angle be of the same affection, the hypotenuse will be less...hypotenuse will be greater than a quadrant. Let ABC be a right angled spherical triangle ; according as the two sides AB, AC are of the same or of different... | |
 | John Playfair - 1835 - 336 pages
...demonstrated. PROP. XV. If the two sides of a right angled spherical triangle about the rig/it angle be of (he same affection, the hypotenuse will be less than a...hypotenuse will be greater than a quadrant. Let ABC be a right angled spherical triangle ; according as the two sides AB, AC are of the same or of different... | |
 | 1836 - 488 pages
...of a right angled spherical triangle about the right angle be of the same affection, the hypothenuse will be less than a quadrant; and if they be of different affection, the hypothenuse will be greater than a quadrant. COR. I. Hence conversely, if the hypothenuse of a right... | |
 | A. Bell - 1837 - 180 pages
...angle as before, and BCA is greater than ECA, that is, greater than a right angle. PROPOSITION XV. If the two sides of a right-angled spherical triangle...hypotenuse will be greater than a quadrant. Let ABC (last figure) be a right-angled spherical triangle ; if the two sides AB, AC, be of the same or of different... | |
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