 | Robert Simson - Trigonometry - 1762 - 466 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 - 520 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 - 550 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
...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 - 558 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 - 528 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 - 372 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 - 513 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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DH; (I. def. 15.) therefore DH is greater than DG, the less than the greater, which is impossible : therefore no straight line can be drawn from the point A, between AE and the circumference, which does not cut the circle : or, which amounts to the same... 
