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Books Books 1 - 10 of 27 on CD; therefore AC is a parallelogram. In like manner, it may be proved that each of....
" 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 ... - Page 214
by John Keill - 1723 - 364 pages
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Euclid's Elements of geometry: from the Latin translation of Commandine. To ...

John Keill - Trigonometry - 1733 - 397 pages
...Planes thereof are equal Parallelograms. For becaufe the parallel Planes BG, CE, are cut • 16 of tlii. by the Plane AC, their common Sections are * parallel...has been proved to be parallel to CD ; wherefore AC {hall be a Parallelogram. After the fame Manner/ we demonftrate that CE, FG, GB, BF, or AE, is a Parallelogram....
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...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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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - Geometry - 1772 - 399 pages
...Plane AC, their common Sections are * paral- i€ •f&i. lei ; wherefore AB is parallel to C D. Again, becaufe the two parallel Planes BF, AE, are...fhall be a Parallelogram. After the fame manner we demonftrate, that CE, FG, GB, BF, and AE, are Parallelograms. Let AH, DF, be joined : Then, becaufe...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...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 - 520 pages
...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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The elements of Euclid: viz. the first six books, with the eleventh and ...

Alexander Ingram, Robert Simson - Trigonometry - 1799 - 351 pages
...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 - Trigonometry - 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 - Euclid's Elements - 1804 - 440 pages
...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: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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 - Trigonometry - 1806 - 311 pages
...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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