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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... "
The first three books of Euclid's Elements of geometry, with theorems and ... - Σελίδα 6
των Euclides - 1849
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The Monthly review. New and improved ser, Τόμος 26

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...

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

Euclid, Robert Simson - 1806 - 518 σελίδες
...X. Two straight lines cannot enclose a space. XI. All right angles are equal to one another. XII. " If a straight line meets two straight lines, so as...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...

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

John Playfair - 1806 - 311 σελίδες
...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.'...

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

Euclid - 1810 - 518 σελίδες
...cannot enclose a 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..." 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 I. PROBLEM. Book I....

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 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...

Elements of the Philosophy of the Human Mind, Τόμος 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...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...Tvio strzLJ?ht lilies canncrt inclose a spare. XI. All riirfct angles are equal to one another. XII. " If a straight line 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...

An Easy Introduction to the Mathematics: In which the Theory and ..., Τόμος 2

Charles Butler - 1814
...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...

Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ...

Sir John Leslie - 1817 - 432 σελίδες
...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 right angles.) Using the notation of your book, his assumption is* that C = if : (A, B, c) : Now, this means that...

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

John Playfair - 1819 - 317 σελίδες
...Axioms, und that which was before the llth is accounted the 10th. The 12th Axiom of Euclid is, that " if a straight line meets two " straight lines, so...the angles which are less than two right angles." Instead of this proposition, which though true, is by no means selfevident ; another that appeared...




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