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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. "
The Elements of Euclid with Many Additional Propositions and Explanatory Notes - Pagina 115
door Eucleides - 1860
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pagina’s
...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pagina’s
...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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pagina’s
...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 pagina’s
...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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pagina’s
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 pagina’s
...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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pagina’s
...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,...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 pagina’s
...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 pagina’s
...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.)...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pagina’s
...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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