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 Bøker Bok 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 ... - Side 6
av Euclides - 1874
Uten tilgangsbegrensning - Om denne boken ## Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 sider
...X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as...the angles which are less " than two right angles." PROPOSITIONS. PROPOSITION I. PROBLEM. — To describe an equilateral triangle upon a given finite straight...
Uten tilgangsbegrensning - Om denne boken ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...part. X. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, so as...are the angles which are less than two right angles. PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given Jinite straight line. Let...
Uten tilgangsbegrensning - Om denne boken ## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...to one another. |j 12. If a straight line meet two other straight lines which are in the same plane, so as to make the two interior angles on the same...together, less than two right angles, these straight lines shall at length meet upon that side, if they be continually produced.^ * ln this axiom and the following,...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Geometry, Symbolically Arranged

...cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meet two straight lines, so as to make the two interior...are the angles which are less than two right angles. A proposition is something either proposed to be done, or to be demonstrated, and iseither a problem...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Geometry, Symbolically Arranged

...cannot enclose a space. XI. All right angles are equal to one another. XII. If a straight line meet two straight lines, so as to make the two interior...are the angles which are less than two right angles. A proposition is something either proposed to he done, or to he demonstrated, and iseither a problem...
Uten tilgangsbegrensning - Om denne boken ## The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...to two right angles, and therefore the angles BEF, EFD are together less than two right angles : But If a straight line meets two straight lines, so as...make the two interior angles on the same side of it together less than two right angles, these straight lines, being continually produced, shall at length...
Uten tilgangsbegrensning - Om denne boken ## The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847
...impossible (Note on Definition 6). 11. All right angles are equal to one another. (See Definition 10.) 12. If a straight line meets two straight lines, so as...are the angles which are less than two right angles. An Axiom is a self-evident truth, and is so called from its being worthy (d£ioc) of universal acknowledgment....
Uten tilgangsbegrensning - Om denne boken ## Elements of the Philosophy of the Human Mind: In Two Parts, Del 1

Dugald Stewart - 1847 - 627 sider
...Euclid's Elements. When it is assorted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the san»« side together equal to two right angles, these two straight lines, though indefinitely produced,...
Uten tilgangsbegrensning - Om denne boken ## The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...cannot inclose a space. XI. All right angles are equal to one another. XII. If a straight line meet two straight lines, so as to make the two interior...are the angles which are less than two right angles. PROPOSITIONS. PROP. I. PROBLEM. To describe an equilateral triangle upon a given finite straight line....
Uten tilgangsbegrensning - Om denne boken ## The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 sider
...x. Two straight lines cannot inclose a space. XI. All right angles are equal to one another. XIL " If a straight line meets two straight lines, so as...the angles which are less than two right angles." PROPOSITION I. PROBLEM. To describe an equilateral triangle upon a given finite straight line. Let...
Uten tilgangsbegrensning - Om denne boken