Books Books That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles. Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - Page 26
by Euclides - 1845 ## The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...angles; but those straight lines, which with another straight line falling upon them, make the two interior angles on the same side less than two right...together if continually produced (Ax. 12) ; therefore , 3. The straight lines AB, CD if produced far enough will meet towards B, D ; but they never meet,... ## Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 512 pages
...PROPOSITION X2I. THEOREM. If two straight lines intersect a third straight line, making the sum of the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Let the two lines CD, IL, meet the line EF, making... ## The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...angles. But those straight lines, which with another straight line falling upon them, make the two interior angles on the same side less than two right angles, will meet together (Ax. 12) if continually produced. Therefore the two straight lines AB, CD, if produced far enough,... ## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...angles AGH, BGH, are greater than BGH, GHD ; but the angles AGH, BGH, are equal to two right angles ; therefore the angles BGH GHD, are less than two right...angles on the same side less than two right angles, do meet together if continually "oduced ; therefore the straight lines AB, CD, if oduced far enough,... ## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...PROPOSITION XXI. THEOREM. // two straight lines intersect a third straight line, making the sum of the interior angles on the same side less than two right angles, the two lines will meet if sufficiently produced. Let the two lines CD, IL, meet the line EF, making... ## Elements of Plane Geometry

Alan Sanders - Geometry, Modern - 1901 - 260 pages
...also bisected. PROPOSITION XX. THEOREM 127. If two lines are cut by a transversal, making the sum of the interior angles on the same side less than two right angles, the lines will meet if sufficiently produced. Let AB and CD be cut by EF, making Z 1 + Z 2 < 2 KA's.... ## The Monist, Volume 13

Philosophy - 1903 - 748 pages
...to prop up the argument that proves the equality of alternate angles on parallels, viz. , that — "those straight lines which, with another straight...angles on the same side less than two right angles, do meet if continually produced." This is exactly the point to be proved, for it is only one form of... ## Introduction and books 1,2

Euclid - Mathematics, Greek - 1908 - 550 pages
...right angles are equal to one another. \ 5. That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than... ## Pure Mathematics

Leslie Leland Locke - Mathematics - 1909 - 366 pages
...all right angles are equal to one another. 5. That if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than... 