| Robert Potts - Geometry, Plane - 1860 - 380 pages
...17.) therefore DA is greater than DG: (i. 19.) but DA is equal to DH; (i. def. 15.) therefore DHis **greater than DG, the less than the greater, which...small an angle it makes with AE, the circumference** must pass between that straight line and the perpendicular AE. QED COB. From this it is manifest, that... | |
| Euclides - 1862 - 172 pages
...therefore DA mvst be greater than DG ; (i. 19) but DA is equal to DH ; (i. def. 15) therefore DH must be **greater than DG, the less than the greater, which...to the same thing, however great an acute angle a** small an angle it makes with AK, the circumference shall pass between that straight line and the perpendicular... | |
| Euclides - 1864 - 448 pages
...17.) therefore DA is greater than DG: (I. 19.) but DA is equal to DH; (l. def. 15.) therefore DHis **greater than DG, the less than the greater, which...small an angle it makes with AE, the circumference** must pass between that straight line and the perpendicular AE. QED COR. From this it is manifest, that... | |
| Euclides - 1864 - 262 pages
...17.) therefore DA is greater than DG: (l. 19.) but DA is equal to DH; (l. def. 15.) therefore DHis **greater than DG, the less than the greater, which...small an angle it makes with AE, the circumference** must pass between that straight line and the perpendicular AE. QED COR. From this it is manifest, that... | |
| Robert Potts - 1865 - 528 pages
...17.) therefore DA is greater than DG : (i. 19.) but DA is equal to DH\ (i. def. 15.) therefore DIIis **greater than DG, the less than the greater, which...small an angle it makes with AE, the circumference** must pass between that straight line and the perpendicular AE. QED CoR. From this it is manifest, that... | |
| Euclides - 1865 - 402 pages
...therefore DA must be greater than DG ; (i. 19) but DA is equal to DH ; (i. def. 15) therefore DH must be **greater than DG, the less than the greater, which...to the same thing, however great an acute angle a** Itraight line makes with the diameter at the point A, or however small an angle it makes with AE, the... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...[I.17. therefore DA is greaterthanZ>£r. [1.19. But DA is equal to DH; [I. Definition 15. therefore **DH is greater than DG, the less than the greater ;...from the point A between AE and the circumference,** so as not to cut the circle. Wherefore, the straight line &c. QED COROLLARY. From this it is manifest,... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...17. therefore DA is greaterthanZ>6?. [I.19. But DA is equal to DH; [I. Definition 15. therefore DHis **greater than DG, the less than the greater ; which...from the point A between AE and the circumference,** so as not to cut the circle. r E Wherefore, the straight line &c. QED COROLLARY. From this it is manifest,... | |
| Robert Potts - 1868 - 434 pages
...(I. 17.) therefore DA is greater than DG : (I. 19.) but DA is equal to DH; (I. def. 15.) therefore **DH is greater than DG, the less than the greater,...small an angle it makes with AE, the circumference** must pass between that straight line and the perpendicular AE. QED COR. From this it is manifest, that... | |
| Henry Major - Student teachers - 1873 - 588 pages
...DAG is less than a right angle ; therefore DA is greater than DG. But DA is equal to DH ; there* fore **DH is greater than DG, the less than the greater;...from the point A between AE and the circumference,** so as not to cut the circle. COROLLARY. — Prom this it is manifest, that the straight line which... | |
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