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" PROP. XXX. THEOR. Straight lines which are parallel to the same straight line are parallel to one another. Let AB, CD, be each of them parallel to EF; AB is also parallel to CD. Let the straight line GHK cut AB, EF, CD ; and because GHK cuts the parallel... "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 48
των Euclid, John Playfair - 1826 - 320 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 σελίδες
...Q._E. D. PROP. »7. i: a. »3. I. ''• THEO R. CTRAIGHT lines which are parallel to the fame ftraight line, are parallel to one another. Let AB, CD be each of them parallel to EF ; AB is alfo parallel to CD. Let the ftraight line GHK cut AB, EF, CD ; and becaufe GHK cuts the parallel ftraight...

The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 σελίδες
...Wherefore, if a ftraight line, &c, QED PROP. XXX. THE OR. lines vfhich are parallel to the fame ftraight line are parallel to one another. Let AB, CD be each of them parallel to EF ; AB is alfo parallel to CD. GHK cuts the parallel ftraight . Let the ftraight line GHK cut AB, EF, CD ; and...

The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 σελίδες
...a ftraight line, &c. C^ED PROP. XXX. THEO R. STRAIGHT lines which are parallel to the fame ftraight line are parallel to one another. Let AB, CD be each of them parallel to EF; AB is alfo parallel to CD. Let the ftr^ght line GHK cut AB, EF, CD; and becaufe GHK cuts, the parallel ftraight...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 σελίδες
...a ftraight line, &c. Q^ED PROP. XXX. THEO R. * RAiGHT lines which are parallel to the fame ftraight line, are parallel to one another. Let AB, CD be each of them parallel to EF; AB is alfo parallel to CD. Let the ftraight line GHK cut AB, EF, CD ; and becaufe GHK cuts the parallel ftraight...

Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 462 σελίδες
...PROP. XXX. THE OR. —•y—* b 27.1. a 23. i. STRAIGHT lines which are parallel to the fame ftraight line are parallel to one another. Let AB, CD be each of them parallel to EF; AB is alfo parallel to CD. Let the ftraight line GHK cut AB, EF, CD ; and becaufe GHK cuts the parallel ftraight...

The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 σελίδες
...if » ftraight line, &c. s PROP. XXX. THEOR. TRAIGHT lines which are parallel to the fame ftraight line are parallel to one another. Let AB, CD be each of them parallel to EF; AB is alfo parallel to CD. .Let the ftraight line GHK cut AB, EF, CD ; and becaufe GHK cuts the parallel...

Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 σελίδες
...and C. PROP.' V27 S ELEMENTS PROP. XXX. THEOR. TRAIGHT lines which are parallel to the fame ftraight line are parallel to one another. Let AB, CD be each of them parallel to EF ; AB is alfo parallel to CD. Let the ftraight line GHK cut AB, EF, CD ; and becaufe GHK cuts the parallel ftraight...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 σελίδες
...a ftraight line, &c. Q^ED PROP. XXX. THEOR. STRAIGHT lines which are parallel to the fame ftraight line, are parallel to one another. Let AB, CD be each of them parallel to EF; AB is alfo parallel to CD. a. 29. i. EF, the angle AGH is equal > to / Let the ftraight line GHKcut AB, EF,...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 σελίδες
...angles; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight line, &c. QED PROP. XXX. THEOR. STRAIGHT lines which are parallel...CD; and because GHK cuts the parallel straight lines AB, EF, the angle AGH is b 27-1. therefore AB is parallel b to CD. Wherefore, straight lines, Stc....

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 554 σελίδες
...angles; therefore also BGH, GHD are equal to two right angles. Wherefore, if a straight line, &c. QED PROP. XXX. THEOR. STRAIGHT lines which are parallel...the straight line GHK cut AB, EF, CD; and because lines AB, EF, the angle AGH is a 29.1. equal » to the angle GHF. Again, GHK cuts the parallel straight...




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