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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... "
Journal of the Michigan Schoolmasters' Club - Side 86
av Michigan Schoolmasters' Club - 1894
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...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...
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1814 - 582 sider
...occur in 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 pro" duced, will...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 sider
...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...
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1821 - 348 sider
...occur in 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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 508 sider
...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...
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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 516 sider
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...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...
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The Boston Journal of Philosophy and the Arts, Volum 3

1826 - 628 sider
...Consequently, all elementary treatises are defective in this point. Proposition. If a straight line meets two straight lines so as to make the two interior angles on the same side less than two right angles, these straight lines being continually produced, will at length meet upon...
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Elements of Geometry: With Notes

John Radford Young - 1827 - 246 sider
...proposition Legendre is enabled to demonstrate Euclid's twelfth axiom, viz. : 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, these straight lines being continually produced shall at...
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