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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... "
Elements of Geometry, Containing the First Six Books of Euclid - Page 71
by Euclid - 1826 - 180 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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The school Euclid: comprising the first four books, by A.K. Isbister

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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

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...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

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...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

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...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...[I.17. therefore DA is greaterthanZ>úr. [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,...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

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,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...
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The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - Student teachers - 1873 - 592 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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