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" THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... "
Elements of Geometry: Containing the First Six Books of Euclid: With a ... - Side 77
av John Playfair - 1819 - 317 sider
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Campanus of Novara and Euclid's Elements, Volum 1

Euclid, Hubertus Lambertus Ludovicus Busard, Campano (da Novara) - 2005 - 768 sider
...remaining angle less, than any acute rectilineal angle", and to the porism "From this it is manifest that the straight line drawn at right angles to the diameter of a circle from its extremity touches the circle", the author of the Savile text only remarks: Reliqua autem diligentie...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897
...double of the square on half the line, and of the square on the line between the points of section. 3. The straight line drawn at right angles to the diameter...without the circle : and no straight line can be drawn from the extremity between that straight line and the circumference, so as not to cut the circle. 4....
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volumer 15-16

1870
...opposite sides of parallelograms are equal to one another. 2. When does a straight line touch a circle ? The straight line drawn at right angles to the diameter of a circle from the extremity of it, touches the circle. 3. If two triangles have one angle of the one equal to one angle of the other,...
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The Thirteen Books of Euclid's Elements

Euclid
...angle EBA. But the angle EDF is right ; therefore the angle EBA is also right. Now EB is a radius ; and the straight line drawn at right angles to the diameter of a circle, from its extremity, touches the circle ; [m. 16, For.] therefore AB touches the circle BCD. Therefore from...
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Euclid in China: The Genesis of the First Chinese Translation of Euclid's ...

Peter M. Engelfriet - 1998 - 488 sider
...of Euclid.7 Theorem 16 of Book III says the following: ft (P. 693) ! ft ft W Ji ft 'h T- & a Heath The straight line drawn at right angles to the diameter of a circle from its extremity will fall outside the circle, and into the space between the straight line and the circumference...
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