 | Charles Hutton - 1816 - 610 σελίδες
...those two lines will not be parallel, but will meet each other when produced. THEOREM XV. THOSE Lines which are Parallel to the Same Line, are Parallel to each other. I^et the Lines AB, CD, be each of _ them parallel to the line EF ; then shall * y . T> the lines AB,... | |
 | Charles Hutton - 1818 - 646 σελίδες
...those two lines will not be parallel, but will meet each other when produced. THEOREM XV. THOSE Lines which are Parallel to the Same Line, are Parallel to each other. Let the Lines AB, CD, be each of them parallel to the line EF ; then shall J±_ ^ B the lines AB, CD, be parallel... | |
 | Euclides - 1845 - 546 σελίδες
...straight line, &c. QED PROPOSITION XXX. THEOREM. Straight lines which are parallel to the same straight line are parallel to each other. Let the straight lines AB, CD be each of them parallel to EF . Then shall AB be also parallel to CD. Let the straight line GHK cut AB, EF,... | |
 | Elias Loomis - 1849 - 252 σελίδες
...angles, then will KL and CD meet, if sufficiently produced. PROPOSITION XXIV. THEOBEM. Straight lines which are parallel to the same line, are parallel...each other. Let the straight lines AB, CD be each of them parallel to the line EF; E then will AB be parallel to CD. PQR, perpendicular to EF. Then,... | |
 | Charles Davies - 1850 - 218 σελίδες
...lines will not be parallel, but will meet if sufficiently produced. THEOREM XV. All straight lines which are parallel to the same line, are parallel to each other. Let the lines AB and CD be each par- Q all el to EF: then will they be parallel to each other. Of Triangles.... | |
 | George Roberts Perkins - 1850 - 332 σελίδες
...parallel, and consequently will meet each other when produced. PROPOSITION XXI. THEOREM. Those lines which are parallel to the same line, are parallel to each other. parallel to FG; then will the * | B Let the lines AB, CD be each H lines AB, CD be parallel to each... | |
 | George Roberts Perkins - 1856 - 460 σελίδες
...to another. XIII. Only one straight line can be drawn joining two given points. XIV. Straight lines which are parallel to the same line are parallel to each other. POSTULATES. I. Let it be granted that a straight line may be drawn from any point to any other point.... | |
 | George Roberts Perkins - 1860 - 472 σελίδες
...to another. XIII. Only one straight line can be drawn joining two given points. XIV. Straight lines which are parallel to the same line are parallel to each other. POSTULATES. I. Let it be granted that a straight line may be drawn from any point to any other point.... | |
 | Benjamin Greenleaf - 1862 - 518 σελίδες
...interior angles whose sum is less than two right angles. PROPOSITION XXIV. — THEOREM. 90. Straight lines which are parallel to the same line are parallel to...each parallel to the line EF ; then are they parallel to'each other. Draw GHI perpendicular to c EF. Then, since AB is parallel to EF, GI will be perpendicular... | |
 | Benjamin Greenleaf - 1863 - 504 σελίδες
...interior angles whose sum is less than two right angles. PROPOSITION XXIV. — THEOREM. 90. Straight lines which are parallel to the same line are parallel to...line EF ; then are they parallel to each other. Draw GHI perpendicular to ,-, EF. Then, since AB is parallel to EF, GI will be perpendicular A to AB (Prop.... | |
| |
Straight lines which are parallel to the same line are parallel to each other. Let the straight lines AB, CD be each parallel to the line EF ; then are they parallel to each other. 
