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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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 5
by Euclid, John Davidson - 1835 - 513 pages
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The Monthly review. New and improved ser

1798
...they meet a third line, make the alternate angles with it equal, Eu~; cljj assumée this axiom : " If a straight line meets two straight ' lines, so as to make the two interior angle's on the same side ' of it .less than two right angles, these straight lines, being CQniinfwtly...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...coincide with one another, that is, which exactly fill the same space, are equal to one another. Book I. IX. * •,-.< The whole is greater than its part....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 - Trigonometry - 1806 - 311 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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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...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
...The wbok is greater dan its part. X. Tvio strzLJ?ht lilies canncrt inclose a spare. XI. All riirfct angles are equal to one another. XII. " If a straight...meets 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...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - 1814
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Mathematics, Greek - 1821 - 516 pages
...cannot enclose a space. XI. All right angles afe equal to one another. XII. " If a straight line meet two straight lines, so as to make the two " interior...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...
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Elements of the Philosophy of the Human Mind, Volume 2

Dugald Stewart - Psychology - 1821
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1826 - 320 pages
...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 to make the two interior...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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Elements of geometry: with notes

John Radford Young - Geometry, Plane - 1827 - 208 pages
...subjoined the following corollary, viz., " It follows from this, that if two lines are cut by a third line, so as to make the two interior angles on the same side less than two right angles, these lines produced will meet, and form a triangle ;" from a slight examination,...
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