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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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...inclose a space. All right angles are equal to one another. XII. " 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 upon that side on which are the angles...

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...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 angles, on the...taken together, less than two right angles, these straight lines, being prolonged, shall at length meet upon that side on which are the angles that are...

The Collected Works of Dugald Stewart: Elements of the philosophy of the ...

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...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...

The Collected Works of Dugald Stewart: Elements of the philosophy of the ...

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The Elements of geometry; or, The first six books, with the eleventh and ...

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...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...taken together, less than \ two right angles, these straight lines, being \ continually produced, shall at length meet ' V ' 'L upon that side on which...

Elements of Geometry: Containing the First Six Books of Euclid with a ...

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...removed from among the Axioms. The 12th Axiom of Euclid is, that " if a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken " which are less than two right angles." Instead of this proposition, which, though true, is by no...

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...a space. XI. All right angles are equal to one another. xn. " If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken together lesi than two right angles, these straight lines being continually produced, shall at length meet upon...

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...angles measured by those equals must themselves be equal. 12. If a straight line meets two straight lines, so as to make the two interior angles on the same side of it taken C ^\ t^JD together less than two right angles, these two straight lines, being continually produced,...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

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...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...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...




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