 | Joseph Hughes - Education - 1883 - 568 pages
...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...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.... | |
 | Education - 1883 - 654 pages
...DC, and AB = AC. .'. By prop. 4 the triangles ABD, ACD are equal in every respect. QED BL) 3. If ata point in a straight line, two other straight lines,...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.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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... | |
 | Euclides - 1883 - 176 pages
...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 lines, on the opposite sides of it, make the adjacent angles together equal to two right angles, the two straight... | |
 | Stewart W. and co - 1884 - 272 pages
...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...equal to two right angles, these two straight lines slinll be in one and the same straight line. At the point B in the straight line A AB, let the two... | |
 | Euclides - 1884 - 94 pages
...ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PROPOSITION XIV. If at a point in a straight line, tivo other straight lines, upon the opposite sides of it,...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 pages
...wholes are equal. Axiom 1. 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... | |
 | Euclides - 1884 - 434 pages
...produced both 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... | |
 | Education - 1884 - 708 pages
...equal sides be produced, the angles on the other side of the base shall be equal. Prop. 5, Bk. I. 2. If at a point in a straight line, two other straight lines, «l'on the opposite sides of it, make the adjacent angles together eqaal to two right angles ; then... | |
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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 ; then these two straight lines shall be in one and the same straight line. 
