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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... "
Elements of geometry, based on Euclid, books i-iii - Side 9
av Edward Atkins - 1876 - 119 sider
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852
...to inclose 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...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." [These are truths which...
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The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...inclose a space. 11. All right angles are equal to one another. 12. If a right line meet two other right lines, so as to make the two interior angles on the...it taken together less than two right angles, these two right lines being continually induced, shall at length meet on that side on which are the angles,...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...part. x. Two straight lines cannot inclose a space. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles." PROPOSITION I. — PROBLEM....
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...cannot enclose 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...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITION I. — PROBLEM....
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...cannot enclose a space. 11. All right angles are equal to one another, 12. If a straight line meets two straight lines, so as to make the two interior...lines being continually produced, shall at length meet upon that side on which are the angles which are less than two right angles. PROPOSITIONS. PROPOSITION...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Bok 1

Euclides - 1853
...parallel to FG; but both cannot. »^^F/ — 1 5- jf" * 3. — To BK. I. PEOP. A. If a straight line cut two straight lines, so as to make the two interior angles on the same side of it together less than two right angles : then these two straight lines, being continually produced, shall...
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Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...is the twelfth axiom, and is thus expressed in Euclid : — AXIOM XII. — If a straight line meets two straight lines, so as to make the two interior...than two right angles, these straight lines, being prolonged, shall at length meet upon that side on which are the angles that are less than two right...
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The Collected Works of Dugald Stewart: Elements of the philosophy of the ...

Dugald Stewart - 1854
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never...
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The Collected Works of Dugald Stewart, Volum 3

Dugald Stewart - 1854
...Euclid's Elements. When it is asserted, for example, that " if one straight line falls on two other straight lines, so as to make the two interior angles on the same side together equal to two right angles, these two straight lines, though indefinitely produced, will never...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...cannot enclose 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...being \ continually produced, shall at length meet ' V ' 'L upon that side on which are the angles -which \ are less than two right angles. It H admitted...
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