 | Euclides - 1816 - 588 pages
...same -/• . , .. ; reason, CD is likewise at right s-, ._ angles to the plane HGK. There- OKD fore AB, CD, are each of them at right angles to the plane...lines are at right angles to the same plane, they shall be parallel0 to one another. There- • 6. 11. fore AB is parallel to CD. Wherefore, two straight... | |
 | John Playfair - 1819 - 354 pages
...and EF is parallel to AB ; therefore AB is at right angle,* (7. 2. Sup.) to the plane HGK. A H EFor the same reason, CD is likewise at right angles to...right angles to the same plane, they are parallel (6. 2. Sup.) to one another. Therefore AB is parallel to CD. Wherefore two straight lines, &c. PROP.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...therefore AB is at right angles (7.k2. Sup.) to the plane HGK. For the same reason, CD is J1^ 3± 55 likewise at right angles to the plane HGK. Therefore...right angles to the same plane, they are parallel (6. 2. Sup.) to one another. Therefore AB is parallel to CD. Wherefore two straight lines, &c. Q, ED... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...therefore AB is at right an- ^s gles (8. 11.) to the plane 'HGK. ' For the same reason, CD is likewise CKD at right angles to the plane HGK. Therefore AB, CD...angles to the plane HGK. But if two straight lines be at right angles to the same plane, they shall be parallel ((?. H.) to one another. Therefore AB... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...thro* them : And EF is par-« alW to AB: _ therefore AD is at right angles (8.11.) to the plane HGK. For the same reason, CD is likewise at right angles...lines are at right angles to the same plane, they shall be parallel (6. 11.) to one another. Therefore AB is parallel to CD. Wherefore, two straight... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...to AB ; therefore AB is at rieht angles (7. 2. Sup.) to the plane HGK. For the same reason, CD is A likewise at right angles to the plane HGK. Therefore AB, CD are eaeh of them at right angles to the plane HGK. But * if two straight lines are at right angles to the... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...passing through them : and EF is parallel to AB ; therefore AB is at right angles* to the plane HGK. For the same reason CD is likewise at right angles...right angles to the same plane, they are parallel* to AH E — / C K. \G -F one another : therefore AB is parallel to CD. Wherefo1-e, two straight lines,... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...right angles to the plane HGK. Therefore AB,CD are each of them at right angles to the plane EHGK. But if two straight lines are at right angles to the same plane, they are parallel C ¥i. 2. Sup.) to one another, herefore AB is parallel to CD. Wherefore two straight lines, &c. QED... | |
 | John Playfair - Euclid's Elements - 1833 - 346 pages
...therefore AB is at right angles (7. 2. Sup.) to the plane HGK. For the same reason, CD is J± _ _ B likewise at right angles to. the plane HGK. Therefore...each of them at right angles to the plane HGK. But E — if two straight lines are at right angles to the same plane, they ^ are parallel (6. 2. Sup.)... | |
 | Euclides - 1834 - 518 pages
...through them : and EF is parallel to •8.11. AB ; therefore AB is at right angles* to the plane HGK: for the same reason, CD is likewise at right angles...angles to the plane HGK. But if two straight lines arc at right • 6. 1 1. angles to the same plane, they are parallel * to one another ; therefore AB... | |
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For the same reason, CD is likewise at right angles to the plane HGK. Therefore AB, CD are each of them at right angles to the plane HGK. 
