 | 1882 - 498 σελίδες
...and the angles contained by those sides also equal, the two triangles are equal in every respect. 4. 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 - 1883 - 176 σελίδες
...the angles made by these lines taken consecutively, amount to four -:-'ht angles. PROP. 14. THEOR. If, at a point in a straight line, two other straight...adjacent angles together equal to two right angles, the two straight lines shall be in one and the same straight line. Given CB and BD meeting AB on opposite... | |
 | Euclid, Isaac Todhunter - 1883 - 426 σελίδες
...ADF G_ B " CKHM And because at the point H in the straight line GH, the two straight lines KH, HM, on the opposite sides of it, make the adjacent angles together equal to two right angles, KH is in the same straight line with HM. [I. 14. And because the straight line HO- meets the parallels... | |
 | 1883 - 658 σελίδες
...equal in every respect. QED BL) 3. If ata 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 ; then these two straight lines shall be in one and the same straight line. Prop. 14, Bk. I. Needlework.... | |
 | Joseph Hughes - 1883 - 578 σελίδες
...hypothesis BD = DC, and AB = AC. .'. By prop. 4 the triangles ABD, ACD are equal in every respect. QED 3. 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 ; then these... | |
 | Euclides - 1884 - 94 σελίδες
...SIMILAR FORM TO THIS. PROPOSITION XIV. If at a point in a straight line, tivo other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles ; then these two straight lines shall be in one and the same straight line. At the point in the straight... | |
 | Euclides - 1884 - 214 σελίδες
...Magnitudes which are equal to the same magnitude are equal to one another. PROPOSITION XIV. THEOREM. If, at a point in a straight line, two other straight lines, on the bpposite sides of it, make the adjacent angles together equal to two right angles; these two straight... | |
 | Euclides - 1884 - 434 σελίδες
...ways. If the exterior angles thus formed are equal, prove A ABC isosceles. PROPOSITION 14. THEOREM. If at a point in a straight line, two other straight lines on opposite sides of it make the adjacent angles together equal to two right angles, these two straight... | |
 | Stewart W. and co - 1884 - 272 σελίδες
...CBE, EBD, are two right angles ; therefore DBA, ABC, are together equal to two right angles. XIV. — 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 - 1884 - 182 σελίδες
...angles thus formed cannot be both acute, nor can they be both obtuse. 49. PROPOSITION 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... | |
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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. 
