 | Ronald Calinger - 1996 - 380 sider
...advantage of avoiding any reference to the infinite. In Elements III, 16, for example, Euclid proves that "the straight line drawn at right angles to the diameter of a circle from its extremity will fall outside the circle."23 To do this, he supposes that the straight line AE falls... | |
 | Peter Machamer - 1998 - 474 sider
...Archive for the History of Exact Sciences, 1990,41/1:115-37. 93 Heath, Euclid's Elements, III, 16: "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... | |
 | Gert Schubring - 2005 - 700 sider
...in Book III, 16. This proposition has subsequently provoked an extensive debate, however. It says: 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... | |
 | Euclid, Hubertus Lambertus Ludovicus Busard, Campano (da Novara) - 2005 - 548 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... | |
 | British Columbia. Superintendent of Education - 1897 - 710 sider
...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.... | |
 | Euclides, A. Robertson - 1999 - 498 sider
[ Beklager, innholdet på denne siden er tilgangsbegrenset. ] | |
 | 1870 - 964 sider
...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,... | |
 | Euclid - 452 sider
...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... | |
 | Peter M. Engelfriet - 1998 - 516 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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THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle... 
