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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 Mathematical Solution Book Containing Systematic Solutions to Many of the ... - Page 378
by Benjamin Franklin Finkel - 1888 - 481 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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 at length meet upon that side on " which are the angles Which are less...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...another. XII. " 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...being continually " produced, shall at length meet upon that side on which are " the angles which are less than two right Angles. See the " notes on prop....
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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 pages
...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 " being continually produced, shall at length meet upon " that side on which are the angles which are less than " two right angles. See the notes on Prop....
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volume 2

Charles Butler - Mathematics - 1814 - 528 pages
...GHC together less than two right angles, KL and CD will meet towards K and C, or on that side of EF on which are the angles which are less than two right angles. For if not, KL and CD are either parallel, or meet towards L and D ; but they are not parallel, for...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - Geometry - 1817 - 456 pages
...Euclid's 12th axiom, (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...these straight lines, being continually produced, will at length meet on that side on which are the angles which are less than two right angles.) Using...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...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...lines being continually produced, shall at length meet upon that " side on which are the angles which are less than two right angles." Instead of this proposition,...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ...

Sir John Leslie - Geometry, Plane - 1820 - 482 pages
...it taken together less than two right angles, these straight lines, being continually produced, will at length meet on that side, on which are the angles which are less than two rig-fat angles.) Using the notation of your book, his assumption is, that C = $ : (A, B, c) : Now,...
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The First Six Books with Notes

Euclid - 1822 - 222 pages
...less than two right angles, these right lines being continually produced, shall at length meet 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. To describe an equilateral...
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