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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 definitions, postulates, axioms, and enunciations of the propositions of ... - Σελίδα 6
των Euclides - 1848 - 42 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...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...than two right angles, these straight lines being con" tinually produced, shall at length meet upon that side on " which are the angles Which are less...

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

John Playfair - 1806 - 320 σελίδες
...and opposite. In order to demonstrate this proposition Euclid assumes it as an axiom, Book I. that " if a straight line meet two straight lines, so as to make v^-v^/ " the interior angles on the same side of it less than two right " angles, these straight lines...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...strnidit line meets twu straight line*, so as to make the two interior angles on tr.e same side of ¡t taken together less than two right angles, these straight lines being continually produce,], shall at length meet upon that side o>> which are the angles which are less tha-i two rig'it...

Elements of the Philosophy of the Human Mind, Τόμος 2

Dugald Stewart - 1814 - 560 σελίδες
...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 righl angles, these two straight lines, though indefinitely produced, will never...

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

John Playfair - 1819 - 350 σελίδες
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an Axiom, that " if a straight line meet two straight " lines, so as to make the interior angles on the same side of it less than " two right angles, these straight lines being continually...

British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Τόμος 9

William Nicholson - 1821 - 402 σελίδες
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...whole is greater than- its part. X, Two straight lines cannot enclose a space. XI. All right angles afe equal to one another. XII. " If a straight line meet...than two right angles, these straight lines being continual" ly produced, shall at length meet upon that side on which " are the angles which are less...

Elements of the Philosophy of the Human Mind, Τόμος 2

Dugald Stewart - 1821 - 348 σελίδες
...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 tw.% * Philosophical Essays, pp. 94, ?5, 4to edit. " right angles, these two straight...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 9

William Nicholson - 1821 - 406 σελίδες
...interior and opposite. In order to demonstrate this proposition, Euclid assumed it as an axiom, that if a straight line meet two straight lines, so as to make the interior angles on the same side of it less than two right angles, these straight lines being continually...

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

John Playfair - 1826 - 326 σελίδες
...axioms, and that whieh was before the 1 tth is aeeounted the lOthr The 12th Axiom of Euelid is, that " if a straight line meet two "straight lines, so as...than two right angles, these straight " lines being eontinually produeed, shall at length meet upon that *' side on whieh are the angles whieh are less...




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