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 Books Bücher If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles... The Elements of Euclid, containing the first six books, with a selection of ... - Seite 6
von Euclides - 1874
Vollansicht - Über dieses Buch ## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 Seiten
...All right angles are equal to one another. XII. " If a straight line meets two straight lines, •o as to make the two interior angles on the same side...the angles which are less than two right angles." PROPOSITION I. To describe an equilateral triangle on a given finite straight line. Let AB be the given...
Vollansicht - Über dieses Buch ## An introduction to geometry, consisting of Euclid's Elements, book i ..., Band 1

Euclides - 1884 - 182 Seiten
...to discuss it until we have made some further progress in the subject. 12. If a straight line meet two straight lines so as to make the two interior...together less than two right angles, these straight lines,being continually produced, shall at length meet on that side on which are the angles which are...
Vollansicht - Über dieses Buch ## A Short History of Greek Mathematics

James Gow - 1884 - 350 Seiten
...straight lines cannot enclose a space: 11. All right angles are equal: 12. If a straight line meet two straight lines, so as to make the two interior angles on the same side of it together less than two right angles, these straight lines will meet if produced on that side. Of these...
Vollansicht - Über dieses Buch ## The national encyclopædia. Libr. ed, Band 2

National cyclopaedia - 1884 - 642 Seiten
...as stated by Euclid it is not a true axiom. It runs thus — 44 If a straight line meets two other straight lines, so as to make the two interior angles on the same side of it, taken j together, less than two right angles ; these straight lines, being continually produced, shall at...
Vollansicht - Über dieses Buch ## The elements of plane geometry, Band 1

Mathematical association - 1884 - 146 Seiten
...together less than two right angles, the two straight lines will meet, if continually produced, on the side on which are the angles which are less than two right angles. *Ex. 43. If two straight lines are respectively parallel to two other straight lines, the angles made...
Vollansicht - Über dieses Buch ## The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - 1884 - 150 Seiten
...together less than two right angles, the two straight lines will meet, if continually produced, on the side on which are the angles which are less than two right angles. *Ex. 43. If two straight lines are respectively parallel to two other straight lines, the angles made...
Vollansicht - Über dieses Buch ## Mathematical Questions and Solutions, from the "Educational Times ..., Band 42

W. J. C. Miller - 1885 - 154 Seiten
...with EF ; and thus is it proved that all right angles are equal.* Axiom XII. : - " If a straight lino meets two straight lines, so as to make the two interior...the angles which are less than two right angles." Dr. Simson, admitting that this is not self-evident, demonstrates the truth of it by the aid of five...
Vollansicht - Über dieses Buch ## Mathematical Questions and Solutions, Band 42

1885 - 150 Seiten
...would coincide with EF ; and thus is it proved that all right angles are equal.* Axiom XII.: — " If a straight line meets two straight lines, so as...together, less than two right angles, these straight linos being continually produced, shall at length meet upon that side on which are the angles which...
Vollansicht - Über dieses Buch ## Transactions and Proceedings of the New Zealand Institute, Band 18

New Zealand Institute - 1886 - 530 Seiten
...equivalence of the three forms of the parallel-axiom mentioned in my paper. Form (a), (Euclid's) is : — " If a straight line meets two straight lines, so as to make the two interior angles on the same I side of it taken together less than two right angles, these straight lines being continually produced...
Vollansicht - Über dieses Buch ## A Mathematical Solution Book: Containing Systematic Solutions of May of the ...

Benjamin Franklin Finkel - 1888 - 518 Seiten
...so as to make the two interior angles *For definitions of geometrical magnitudes, see Mensuration. on the same side of it taken together less than two...lines being continually produced shall at length meet on that side< on which are the angles which are less than, two right angles. An axiom must possess...
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