 | Robert Potts - 1860 - 380 σελίδες
...equal to two right angles, (ax. 1.) Wherefore, when a straight line, &c. QED PROPOSITION XIV. THEOREM. 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. At the point B in the straight... | |
 | Royal college of surgeons of England - 1860 - 332 σελίδες
...one another, and likewise ^ those which are terminated in the other extremity. (Second case only.) 3. If at a point in a straight line, two other straight...opposite sides of it make the adjacent angles together .jequal to two right angles, these two straight lines shall be in one and the same straight line. 4.... | |
 | Popular educator - 1860 - 424 σελίδες
...at a point ma straight line two other straight line» malte the two angles on opposite sides of it, together equal to two right angles, these two straight lines shall be in the same straight line ; but if they make two right angles on the same side of it, they shall coincide... | |
 | Euclides - 1860 - 288 σελίδες
...angles be equal .i to one of another pair, the remaining angles must be equal. PROPOSITION Xrv. THEOREM. If, at a point in a straight line, two other straight lines, upon tlie opposite sides of it, make the adjacent angles together equal to two right angles, these two straight... | |
 | Elias Loomis - 1861 - 254 σελίδες
...THEOREM (Converse of Prop. II.). If, at a point in a straight line, two other straight lines, upon me 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 line with CB. For, if BD... | |
 | Elias Loomis - 1861 - 244 σελίδες
...equal to that of the two adjacent angles BAD, DAF. PROPOSITION III. THEOREM (Converse of Prop. //.). If, at a point in a straight line, two other straight lines, upon me opposite sides of it, make the adjacent angles together equal to two right angles, these two straight... | |
 | Euclides - 1862 - 172 σελίδες
...therefore the angles DBA, ABC, are together equal to two right angles, (ax. 1.) PROP. XIV.— THEOREM. 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. (References — Prop. i.... | |
 | Euclides - 1862 - 140 σελίδες
...angles, (ax. 1.) 7. 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; 8. Therefore KH is in the same straight line with HM. (I. 14.) 9. And because the straight line HG... | |
 | University of Oxford - 1863 - 316 σελίδες
...line perpendicular to a given straight line of unlimited length, from a given point without it. 3. If, at a point in a straight line, two other straight...lines shall be in one and the same straight line. 4. At a given point in a given straight line, make a rectilineal angle equal to a given rectilineal... | |
 | Euclides - 1864 - 448 σελίδες
...equal to two right angles(ax. 1.) Wherefore, when a straight line, &o. QED PROPOSITION XIV. THEOREM. If at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjavent angles together equal to two right angles ; then these two straight lines shall be in one... | |
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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. 
