 | Robert Simson - 1775 - 534 pages
...greater than a quadrant ; pg. ,0. then the hypothenufe BC will be greater than a quadrant ; for let AK be a quadrant, then E is the pole of AC, and EC will be a quadrant. But CB is greater than CE by prop. i2. ftnce AC paffes through the pole of ABD. Q^ ED PROP. XV. IF the hypothenufe bf a right-angled... | |
 | Robert Simson - 1781 - 534 pages
...quadrant. Q._ ED Fii. ic. ^-afe 2. Let AC be lefs, and AB greater than a quadrant ; then the hypothenufe BC will be greater than a quadrant ; for let AE be...and EC will be a quadrant. But CB is greater than CE by prop. i 2. fince AG pafles through the pole of ABD. Q._E. D. PROP. XV. TF the hypothenufe of a right-angled... | |
 | Euclid - 1781 - 552 pages
...Q^E. 1). Cafi Cafe 2. Let AC be lefc, and AB greater than a quadrant; Fig. io. then the hypothenufe BC will be greater than a quadrant ; for let AE be...and EC will be a quadrant. But CB is greater than CE by prop. 12. fincc AC paffes through the pole of ABD. Q^ ED PROP. XV. TF the hypothenufe of a right.angled... | |
 | Euclid, John Playfair - 1795 - 462 pages
...Cafe a. Let AC be lei$, and AB greater than a quadrant ; then the hypptenufe BC will be greater than i quadrant ; for, let AE be a quadrant .then E is the pole of AC, and EC will be-a quadrant. But CB is greater .than CE (Prop. 13.), fince AC pafles jhrdughjhe pole of ABD. : (^... | |
 | Robert Simson - 1804 - 530 pages
...quadrant. Q^ED fig. io. Cafe 2. Let AC be lefs, and AB greater than a quadrant; then the hypothenufe BC will be greater than a quadrant ; for let AE be...and EC will be a quadrant. But CB is greater than CE by prop. 12. fince AC pafles through the pole of ABD. Q^ED PROP. XV. TF the hypothenufe of a right-angled... | |
 | Euclides - 1814 - 560 pages
...QED Case 2. Let AC be less, and AB greater than a quadrant; Fig. 10. then the hypothenuse BC will he greater than a quadrant: for let AE be a quadrant,...and EC will be a quadrant. But CB is greater than CE by Prop. 12. since AC passes through the pole of ABD. QED PROP. XV. .IF the hypothenuse of a right... | |
 | Euclides - 1816 - 588 pages
...and AB greater than a quadrant; Fig. it. then the hypothenuse BC will be greater than a quadrant i for let AE be a quadrant, then E is the pole of AC,...and EC will be a quadrant. But CB is greater than CE by Prop. 12. since AC passes through the pole of ABD. QED PROP. XV. IF the hypothenuse of a right angled... | |
 | Euclid, Robert Simson - 1821 - 514 pages
...a quadrant; then the hypothenuse BC wi'l be greater than a quadrant; for let AE be a quadrant, than E is the pole of AC, and EC will be a quadrant. But CB is greater than CE by prop. 12. since AC passes through the pole of ABD. Q. ED PROP. XV. IP the hypothenuse of a right... | |
 | Robert Simson - 1827 - 546 pages
...quadrant. QED Fig. 10. Case 2. Let AC be less, and AB greater than a quadrant ; then the hypothenuse BC will be greater than a quadrant : for let AE be...and EC will be a quadrant. But CB is greater than CE by Prop. 12. since AC passes through the pole of ABD. QED PROP. XV. If the hypothenuse of a right angled... | |
 | Euclides - 1834 - 518 pages
...»;• ' See fig. 34. Case 2. Let AC be less, and AB greater than a quadrant ; then the hypothenuse BC will be greater than a quadrant : for let AE be a quadrant, then E is the pole of AC, an^ EC wi^I be a quadrant. But CB is greater than CE by Prop. 12, since AC passes through the pole... | |
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BC will be greater than a quadrant : for let AE be a quadrant, then E is the pole of AC, and EC will be a quadrant. But CB is greater than CE by Prop. 12. 
