 | Great Britain. Committee on Education - Education - 1847 - 624 pages
...straight lines on the opposite sides of it make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. 3. Equal triangles on the same base and on the same side of it are between the same parallels. Section... | |
 | Euclides - 1848 - 52 pages
...right angles. PROP. XIV. THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. PROP. XV. THEOREM. EUCLID S ELEMENTS.... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines are in one and the same straight line. then will BD be in the same straight... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight... | |
 | Education - 1851 - 502 pages
...SECTION I.—1. If at a point in a 'given straight line, two other straight lines on the opposite side of it make the adjacent angles together equal to two right angles, these straight lines are in one and the same straight line. 3. Upon a given straight line to describe... | |
 | Euclides - Geometry - 1853 - 176 pages
...PROPOSITION XIV. — THEOREM. If , at a point in a straight line, two other straiglit lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. AT the point b in the straight... | |
 | Euclides - 1853 - 146 pages
...line, &c. QED PROP. XIV. THEOREM. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B, in the straight... | |
 | Euclides - Geometry - 1853 - 334 pages
...cutting two other straight lines make the two interior angles on the same side of the cutting line together equal to two right angles : then these two straight lines shall be parallel. I. Let EF, cutting the two straight lines AB, CD in G, H, make one of the exterior angles,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...PROPOSITION XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite side of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line. At the point B in the straight... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...sides of it, make the adjacent angles together equal to two right angles, these two straight lines are in one and the same, straight line. At the point B in tlie straight line AB, let the two straight lines BC, BD upon lhe opposite sides of AB, make the adjacent... | |
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If, at a point in a straight line, two other straight lines upon the opposite sides of it, make the adjacent angles, together equal to two right angles, these two straight lines shall be in one and the same straight line. 
