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" AE is a parallelogram : join AH, DF ; and because AB is parallel to DC, and BH to CF ; the two straight lines AB, BH, which meet one another, are parallel to DC and CF, which meet one another... "
Books 10-13 and appendix - Page 324
by Euclid - 1908
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...may be proved that each of the figures CE, FG, GB, BF, AE is a parallelogram. Join AH, DF. Because AB is parallel to DC, and BH to CF, the two straight lines AB, BH, which meet each other, are parallel to DC, ($F, which meet each other ; therefore the angle ABH is equal to the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...CE, FG, GB, BF, AE is a parallelogram : join AH, DF ; and because AB is parallel to DC, and BH, toCF; the two straight lines AB, BH which meet one another, are parallel to DC and CF which meet one another, and are not in the same plane with the other two; wherefore they...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...parallelograms. that each of the figures CE, FG, GB, BF, AE, is a parallelogram: Join AH, DF; and because AB is parallel to DC, and BH to CF; the two straight...lines AB, BH, which meet one another, are parallel to DC and CF, which meet c same plane with the other two: wherefore they contain * 10.1i. equal angles,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram : Join AH, DF; and because AB is parallel to DC, and BH to CF; the two straight...lines AB, BH, which meet one another, are parallel to DC and CF, which meet one another, and are not in the same plane with the other two : wherefore they...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...be proved that each of the figures CE, FG, GB, BF, AE is a parallelogram : join AH, DF ; and because AB is parallel to DC, and BH to CF ; the two straight...lines AB, BH, which meet one another, are parallel to DC and CF, which meet one another ; wherefore, though the first two are not in the same plane with...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...figures CE, FG, GB, BF, AE is a parallelogram: join AH, DF; and because AB is parallel to DC, and A BH to CF; the two straight lines AB, BH, which meet one another, are parallel to DC and CF which meet one another, and are not in the same plane D with the other two; wherefore they...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...he proved that each of the figures CE, FG, GB, BF, AE is a parallelogram: Join AH, DF; and because AB is parallel to DC, and BH to CF ; the two straight...lines AB, BH, which meet one another, are parallel to DC and CF, which meet one another, and are not in the same plane with the ether two ; wherefore they...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...proved that eaeh of the figures CE, FG,GB, BF, AK is a parallelogram ; join AH, DF; and beeause \B is parallel to DC, and BH to CF; the two straight lines AB, BH, whieh meet one another, are parallel to DC and CF, whieh meet one another.; wherefore, though the first...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram. Join AH, DF; and because AB is parallel to DC, and BH to CF; the two straight...lines AB, BH, which meet one another, are parallel to DC and CF, which meet one another, and are not in the 1 10. 11. •4. 1. • 34,. 1. SeeN. 1 36. 1....
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...be proved that each of the figures CE, FG, GB, BF, AE is a parallelogram : join AH, DF ; and because AB is parallel to DC, and BH to CF; the two straight lines AB, BII, which meet one another, are parallel to DC and CF which meet one another, and are not in the same...
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