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" 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... "
The first six books of the Elements of Euclid, with numerous exercises - Σελίδα 4
των Euclides - 1853 - 147 σελίδες
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...another. xn If a straight line meets two straight lines, no as to make the two interior angles on thr same side of it, taken together, less than two right angles, these straight lines, oeing continually produced, shall at length meet T upon that side on which are the angles which \ are...

Class lessons on Euclid

Marianne Nops - 1882
...is with these that the sixth postulate deals. It tells us that ' If a straight line meets two other straight lines so as to make the two interior angles...it, taken together less than two right angles, these lines, being continually produced, shall at length meet upon that side on which are the angles which...

New Englander and Yale Review, Τόμος 42

Edward Royall Tyler, William Lathrop Kingsley, George Park Fisher, Timothy Dwight - 1883
...Euclid, or 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...lines, being continually produced, shall at length meet on that side, on which are the angles, which are less than two right angles. This axiom is a puzzling...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 σελίδες
...cannot enclose a space. 11. All right angles are equal to one another. 12. If a straight line meet two straight lines, so as to make the two interior...lines, being continually produced, shall at length meet on that side on which are the angles which are less than two right angles. PROPOSITION I. PROBLEM....

Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Τόμος 3

Moffatt and Paige - 1883
...equal to two right angles (1. 13), therefore the angles BGH, GHD are less than two right angles. But if a straight line meets two straight lines so as...than two right angles, these straight lines, being continuallyproduced, shall at length meet on that side on which are the angles that are less than two...

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

Joseph Hughes - 1883
...interior angles 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...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...

Science, Τόμος 20

John Michels (Journalist) - 1892
...axiomatic.3 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...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...

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

Euclides - 1883 - 96 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...

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

Euclides - 1884
...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...

A Short History of Greek Mathematics

James Gow - 1884 - 323 σελίδες
...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...




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