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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... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Side 7
av Euclides, James Hamblin Smith - 1879
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 sider
...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...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...Euclid is, that ' If a straight line ' meet two straight lines so as to make the two interior an' gles on the same side of it taken together less than two...angles, these straight lines being continually produced will, ' at length meet upon that side on which are the angles which ' are less than two right angles.'...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 sider
...space. XI. 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 same...upon that side on which are " the angles which are less than two right Angles. See the " notes on prop. 29. of Book I." a 3. I'Mtulate. b 9. Post. PROPOSITION...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...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...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 sider
...two straight lines, so as to make " the two Lriterior angles on the same ade of it taken to" gether less than two right angles, these straight lines "...upon " that side on which are the angles which are less than " two right angles. See the notes on Prop. 29. of Book I/' PROPOSITION I. PROBLEM. To describe...
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1814 - 582 sider
...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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 sider
...accounted the 10th. 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...upon that " side on which are the angles which are less than two right angles." Instead of this proposition, which though true, is by no means selfevident...
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Elements of the Philosophy of the Human Mind, Volum 2

Dugald Stewart - 1821 - 348 sider
...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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The First Six Books with Notes

Euclid - 1822 - 222 sider
...internal angles on the same side of it gee ff. taken together less than two right angles, these right lines being continually produced, shall at length...upon that side on which are the angles, which are less than two right angles. u angles • 12 V' Elements of Euclid. Fig. 12. PROPOSITION 1. PROBLEM....
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...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...meet upon that side on which are the angles which are lest than two right angles." Proposition I. Problem. To describe an equilateral triangle upon a given...
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