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 Books Bücher That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. The first six books of the Elements of Euclid, with numerous exercises - Seite 21
von Euclides - 1853 - 147 Seiten
Vollansicht - Über dieses Buch The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...the two angles AGH, BGH, are equal (I. 13) to two right angles. Therefore the two angles BGH, GHD, are less than two right angles. But those straight...another straight line falling upon them, make the two interior angles on the same side less than two right angles, will meet together (Ax. 12) if continually...
Vollansicht - Über dieses Buch Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...than BGH, GHD ; but the angles AGH, BGH, are equal to two right angles ; therefore the angles BGH GHD, are less than two right angles; but those straight...the same side less than two right angles, do meet together if continually "oduced ; therefore the straight lines AB, CD, if oduced far enough, shall...
Vollansicht - Über dieses Buch An introduction to geometry, consisting of Euclid's Elements, book i ..., Band 1

Euclides - 1884
...than BGH&nd GHD. (Ax. 4) But AGH and BGH are equal to two right angles ; (1. 13) therefore BGH and GHD are less than two right angles ; "but those straight lines which, with another falling upon them, make the interior angles on the same side of it together less than two right angles,...
Vollansicht - Über dieses Buch Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - 1885 - 512 Seiten
...PROPOSITION XXI. THEOREM. // two straight lines intersect a third straight line, making the sum of the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Let the two lines CD, IL, meet the line EF, making...
Vollansicht - Über dieses Buch Elements of Plane Geometry

Alan Sanders - 1901 - 247 Seiten
...also bisected. PROPOSITION XX. THEOREM 127. If two lines are cut by a transversal, making the sum of the interior angles on the same side less than two right angles, the lines will meet if sufficiently produced. Let AB and CD be cut by EF, making Z 1 + Z 2 < 2 KA's....
Vollansicht - Über dieses Buch The Monist, Band 13

1903
...to prop up the argument that proves the equality of alternate angles on parallels, viz. , that — "those straight lines which, with another straight...the same side less than two right angles, do meet if continually produced." This is exactly the point to be proved, for it is only one form of the conception...
Vollansicht - Über dieses Buch Elements of Plane and Solid Geometry

Alan Sanders - 1903 - 384 Seiten
[ Der Inhalt dieser Seite ist beschränkt. ] Introduction and books 1,2

Euclid - 1908
...right angles are equal to one another. \ 5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than...
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