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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... "
A Short History of Greek Mathematics - Σελίδα 199
των James Gow - 1884 - 323 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 angles on the same side of it taken together " less than two right angles, these straight lines being con" tinually produced, shall...

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

Euclid - 1810 - 554 σελίδες
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meet two straight lines, so as...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...

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...

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

Euclides - 1816 - 588 σελίδες
...V. IF two straight lines AB, CD be cut by a third ACE, so as to make the interior angles BAC, ACD, on the same side of it, together less than two right angles; AB and CD being produced, shall meet one another towards the parts on which are the two angles, which...

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

John Playfair - 1819 - 350 σελίδες
...before the llth is accounted the 10th. rfhe 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 together less than two right angles, these straight " lines being continually produced, shall...

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...

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 508 σελίδες
...instead of that which is the 12th in this, is, that " if •' a right line, falling on two right lines, make the two interior * ' * " angles on the same side...it. together less than two right " angles ; these right lines may be so produced, towards the part, " on which the interior angles are less than two...

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 516 σελίδες
...in this, is, that " if " a right line, falling on two right lines, make the two interior " angles OH the same side of it. together less than two right " angles ; these right lines may be so produced, towards the part, " on which the interior angles are less than two...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 σελίδες
...cannot inclose a space. 11. AH right angles are equal to one another. 12." 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, these straight lines being continually produced, shall at...

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

Euclid, 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...the two interior angles on the same *' side of it taken together less than two right angles, these straight " lines being eontinually produeed, shall...




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