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" CD; therefore AC is a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram... "
Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... - Seite 215
von John Keill - 1772 - 399 Seiten
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1723 - 442 Seiten
...cut *i6ofthis. by the Plane AC, their common Sections are * parallel; wherefore AB is parallel to CD. Again, becaufe the two parallel Planes BF, AE, are...fhall be a Parallelogram. After the fame Manner, we dejnonftrate that CE, FG, GB, BF, or AE, is a Parallelogram. Let AH, DF, bejoined. Then becaufe AB...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 Seiten
...parallel planes, BG, CE are cut by the plane -• ifi. ii. AC, their common fections AB, CD are parallel", again, becaufe the two parallel planes BF, AE are cut by the plane AC, their common fections AD, BC are parallel ". and AB is parallel to CD ; therefore AC is a parallelogram, in like...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 Seiten
...the two parallel planes, BG, CE are cut by the plane AC, their common fections AB, CD are parallel*. Again, becaufe the two parallel planes BF, AE are cut by the plane AC, their common fections AD, BC are parallel" : And AB is parallel to CD ; therefore AC is a parallelogram. In like...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 Seiten
...parallel planes, BG, CE, are cut by the a 16. H. planc AC, their common fections AB, CD, are parallel '. Again, becaufe the two parallel planes BF, AE, are cut by the plane AC, their common fe&ions AD, BC, are parallel* : And AB is parallel to CD ; therefore AC is a parallelogram. In like...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - 1782 - 399 Seiten
...their common Sections are * paral- *'6 "/'*"• lei ; wherefore AB is parallel to C D. Again, because the two parallel Planes BF, AE, are cut by the Plane...Sections are parallel; therefore AD is parallel to B C. But AB has been proved to be parallel toC D; wherefore AC (hall be a Parallelogram. After the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 351 Seiten
...are cut by the plane AC, a it. n. their common feftions AB, CD are parallels *. Again, becaufe the parallel planes BF, AE are cut by the plane AC, their common feftions AD, BC are parallel a ; therefore AC is a parallelogram. In the fame manner, it may be proved,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...parallel planes, BG, CE are cut by the plane e. 16. tt. AC, their common fections AB, CD are parallel «. again, becaufe the two parallel planes BF, AE are cut by the plane AC, their common feftions AD, BC are parallel a. and AB is parallel to CD; therefore AC is. a parallelogram. in like...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - 1804 - 470 Seiten
...BG, CE, are cut by the plane AC, their common feftions AB, CD are parallel ". A- 8i4. i.Sup. gain, becaufe the two parallel planes BF, AE, are cut by the plane AC, their common feftions AD, BC are parallel a : and AB is parallel to CD ; therefore AC is a parallelogram. In like...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 Seiten
...CE are cut by the plane a 16. 11. AC, their common sections AB, CD are parallel ». Again, because the two parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel » : and AB is parallel to CD ; therefore AC is a parallelogram. In like manner,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 Seiten
...BG, CE are cut by the al4.2.Sup. plane AC, their common sections AB, CD are parallel* ; and because the two parallel planes BF, AE are cut by the plane AC, their common sections AD, BC are parallel*. Hence AC is a parallelogram. In like manner it may be proved that each of the...
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