 Fig. 9. Case 1. Let AB, AC be each less than a quadrant. Let AE, AG be quadrants ; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but, by prop. 12. CE is greater than CB, since CB is farther off from CGD than CE. In the same manner,...  A Treatise of Practical Mathematics - Page 196by Andrew Bell - 1842Full view - About this book
 | Robert Simson - 1806 - 546 pages
...be quadrants ; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but, by prop. 12. CE is greater than CB, since CB is farther off from...quadrant, is less than CE, that is, less than a quadrant. Q ED Fig. 10. Case 2. Let AC be less, and AB greater than a quadrant; then the hypothenuse BC will... | |
 | Euclid - 1810 - 554 pages
...be quadrants; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but, by prop. 12. CE is greater than CB, since CB is farther off from...than CE. In the same manner, it is shown that CB, m the triangle CBD, where the two sides CD, BD are each greater than a quadrant, is less than CE, that... | |
 | Euclides - 1814 - 560 pages
...be quadrants; G will be the pole of AB, and E the pole of AC, and EC a quadrant ; but by Prop. 12, CE is greater than CB, since CB is farther off from CGD than CIS. In the same manner, it is shown that CB, in the triangle CBD, where the two sides CD, BD, are... | |
 | Euclides - 1816 - 588 pages
...quadrants ; G wtll be the pole of AB, and lB tba pole of AC, and EG a quadrant ; but by Prop, 1 2, CB is greater than CB, since CB is farther off from CGD...quadrant, is less than CE, that is, less than a quadrant. QED . Case 2. Let AC be less, and AB greater than a quadrant; Fig. it. then the hypothenuse BC will... | |
 | Euclid, Robert Simson - 1821 - 514 pages
...AC be quadrants; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but by prop. 12. CE is greater than CB, since CB is farther off from...sides CD, BD are each greater than a quadrant, is k:s.» than CE, that is, less than a quadrant. Q,. ED Fig. 1O. — Case 2. Let AC be less, and AB greater... | |
 | Robert Simson - 1827 - 546 pages
...AG, be quadrants; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but by Prop. 12, CE is greater than CB, since CB is farther off from CGD than CE. In the same manner, it is shewn that CB, in the triangle CBD, where the two sides CD, BD, are each greater than a quadrant, is... | |
 | Euclides - 1834 - 518 pages
...quadrants ; G will be the pole of AB, and °E' the pole of AC, and EC a quadrant ; but by Prop. 12, CE h greater than CB, since CB is farther off from CGD than CE. In the same manner it is shewn, that CB in the triangle CBD, where the two sides CB, BD are each greater than a quadrant, is... | |
 | Euclid - 1835 - 540 pages
...be quadrants ; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but, by Prop. 12, CE is greater than CB, since CB is farther off from CGD than CE. In the same manner, it is shown of the right angled triangle CDB, in which each of the sides CD, BD is greater than a quadrant, that... | |
 | Robert Simson - 1835 - 544 pages
...be quadrants ; G will be the pole of AB, and E tlie pole of AC, and EC a quadrant; but, by Prop. 12, CE is greater than CB, since CB is farther off from CGD than CE. In the same manner, it is shown of the right angled triangle CDB, in which each of the sides CD, BD is greater than a quadrant, that... | |
 | A. Bell - 1837 - 180 pages
...be quadrants ; G will be the pole of AB, and E the pole of AC, and EC a quadrant; but (Sp. Ge. 13) CE is greater than CB, since CB is farther off from...2. Let AC be less, and AB greater than a quadrant ; then the hypotenuse BC will be greater than a quadrant ; for, let AE be a quadrant, then E is the... | |
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