 | Elias Loomis - Conic sections - 1849 - 252 pages
...equal to that of the two adjacent angles BAD, DAF. PROPOSITION HI. 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... | |
 | 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 a segment... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...angles DBA, ABC. -' 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...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... | |
 | Euclides - Geometry - 1853 - 176 pages
...QED 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...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 line ab, let the two straight... | |
 | Euclides - Geometry - 1853 - 334 pages
...right angles, or are together equal to two right angles. Which was to be proved. PEOP. XIV. THEOE. If at a point in a straight line, two other straight lines, on the opposite sides of it, make with it the adjacent angles together equal to two right angles: then these two straight lines shall... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...together equal to two right angles. Wherefore, when a straight line, etc. QED 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... | |
 | Euclides - 1853 - 146 pages
...equal to two right angles. Wherefore, the angles which one straight 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... | |
 | John Playfair - Geometry - 1855 - 334 pages
...angles DBA, ABC. 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 ttOo straight lines are in one and the same straight line. At the point B in the straight line AB,... | |
 | Robert Potts - 1855 - 1050 pages
...the squares on AC, AS, furthest removed from point A; shew that F, A, K, are in one straight line. 2. 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... | |
 | Euclides - 1855 - 270 pages
...added to this proposition by Euclid, are included in those now added to Prop. XIII. Exercise 1. — If at a point in a straight line two other straight lines meet upon the opposite sides of it, and make the vertical or opposite angles equal, these two straight... | |
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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. 
