| Robert Simson - Trigonometry - 1762 - 488 pages
...therefore DH is greater than DG, the lefs than the greater, which is impoffible. therefore no ftraight **line can be drawn from the point A between AE and...does not cut the circle. or, which amounts to the** fame thing, however great an acute angle a ftraight line makes with the diameter at the point A, or... | |
| Robert Simson - Trigonometry - 1775 - 534 pages
...therefore DH is greater than DG, the lets than the greater, which is impoffible : Therefore no ftraight **line can be drawn from the point A between AE and...does not cut the circle, or, which amounts to the** fame thing, however great an acute angle a ftraight line makes with the diameter at the point A, or... | |
| Euclid - 1781 - 552 pages
...therefore DH is greater than DG, the lefs, than the greater, which is impoffible: Therefore no ftraight **line can be drawn from the point A between AE and the circumference, which does not cut the** cir cle, or, which amounts to the fame B thing, however great an acute angle a ftraight line makes... | |
| Robert Simson - Trigonometry - 1804 - 530 pages
...therefore DH is greater than DG, the lefs than the greater, which is impoffible. therefore no ftraight **line can be drawn from the point A between AE and...does *> not cut the circle. or, which amounts to the** fame thing, however gre^ an acute angle a ftraight line makes with the diameter at the point A, or... | |
| Euclides - 1814 - 560 pages
...DAG less b than a right angle, '19. i. DA is greater" 1 than DG : But DA is equal to DH : therefore **DH is greater than DG, the less than the greater,...A between AE and the circumference, which does not** B[cut the circle; or, which amounts to the same thing, however great an acute angle a straight line... | |
| Charles Butler - Mathematics - 1814 - 528 pages
...cuts the circumference be between it and the tangent ? The like may be observed of the sentence, " **therefore no straight line can be drawn from the point...the circumference, which does not cut the circle."** It was for the sake of the latter part of the demonstration that the seventh definition of this book... | |
| Euclides - 1816 - 588 pages
...DAG lessb than a right angle, a 19. i' DA is greater11 than DG: But DA. is equal to DH : therefore **DH is greater than DG, the less than the greater,...point A between AE and the circumference, which does** notl cut the circle; or, which amounts to the same thing, however great an acute angle a straight line... | |
| Euclid, Robert Simson - Geometry - 1821 - 514 pages
...less (19. 1.) than a right angle: DA is greater (19. 1.) than DG: but DA is equal to . ^ DH; therefore **DH; is greater than DG ^ the less than the greater,...which amounts , to the same thing, however great an** B .acute angle a straight line makes with the diameter at the point A, or however small an angle it... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...is greater (Ip. 1.) than DG : But DA Is equal to DH ; therefore DH is greater than DG, the less la **the greater, which is impossible : Therefore no straight...small an angle it makes with AE, the circumference** passe* between that straight line and the perpendicular AE. * And this ii all that is to be understood,... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...* 19. 1. than a right angle, DA is greater* than DG : but DA HSDef.1. is equal )- to DH; therefore **DH is greater than DG, the less than the greater,...small an angle it makes with AE, the circumference** roust pass between that straight line and the perpendicular AE. " And this is all that is to be understood,... | |
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