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" 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 [book 1] for beginners, by J. Lowres - Σελίδα 12
των Euclides - 1852
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New Englander and Yale Review, Τόμος 42

Edward Royall Tyler, William Lathrop Kingsley, George Park Fisher, Timothy Dwight - 1883 - 872 σελίδες
...put Euclid's axiom in a different form. Thus Euclid's axiom is, "If a straight line meet two straight lines, so as to make the two interior angles on the...it taken together less than two right angles^ these straight lines, being continually produced, shall at length meet on that side, on which are the angles,...

Science, Τόμος 20

John Michels (Journalist) - 1892 - 448 σελίδες
...This is the axiom of parallels, which reads as follows : — " If a straight line meet two straight lines so as to make the two interior angles on the same side of it taken together less than two right-angles, these straight lines, being continually produced, shall at length meet on that side on...

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 2

Joseph Hughes - 1883
...on the same side toeether equal to two right angles. Axiom xii. If a straight line meet two straight lines so as to make the two interior angles on the same side of it taken together less than two ri^ht angles, these straight lines being continually produced, îhall at length meet on that side on...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 172 σελίδες
...Note.— The converse of this proposition, that "if a straight line meeting two other straight lines make the two interior angles on the same side of it taken together less than two right angles, the two lines will, if produced tar enough) meet on that Bide on which are the angles less than two...

The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 σελίδες
...a space. XI. All right angles are equal to one another. XII. If a straight line meets two straight lines, so as to make the two interior angles on the...it taken together less than two right angles; these straight lines being continually produced, shall at length meet upon that side on which are the angles...

Mathematical Questions with Their Solutions: From the ..., Τόμοι 40-42

1884 - 434 σελίδες
...it proved that all right angles are equal.* Axiom XII. : — "If a straight line meets two straight lines, so as to make the two interior angles on the...taken together, less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles...

Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884 - 146 σελίδες
...all its sides equal, but its angles are not right angles. 3. If a straight line meets two straight lines so as to make the two interior angles on the...taken together, less than two right angles, these straight lines being continually produced shall at length meet upon that side on which are the angles...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884 - 182 σελίδες
...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 angles on the...it taken together less than two right angles, these straight lines,being continually produced, shall at length meet on that side on which are the angles...

Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 266 σελίδες
...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...it taken together less than two right angles, these straight lines being continually produced, shall at length meet upon that side on which are the angles...

The national encyclopædia. Libr. ed, Τόμος 2

National cyclopaedia - 1884 - 642 σελίδες
...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...




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