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Books Books 1 - 10 of 48 on BAE; and they are in one plane, which is impossible. Also, from a point above a plane,....  
" BAE; and they are in one plane, which is impossible. Also, from a point above a plane, there can be but one perpendicular to that plane ; for, if there could be two, they would be parallel (6. PI.) to one another, which is absurd. Therefore, from the... "
Books 10-13 and appendix - Page 295
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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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
...the smgle CAE is equal to the angle BAE; and they are in one plane, D A which is impoiTible. Alfo, from a point above a plane there can be but one perpendicular to that plane; for if there could be two, l,. 6. ii. they would be parallel b to one another, which is abfurd. Therefore from the fame point,...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...Wherefore the angle CAE is equal to the angle BAE ; and they are in one plane, which is impoflible. Affo, from a point above a plane, there can be but one perpendicular to that plane j for, if there could be two, they would be parallel b to one another, which is abfurd. Therefore,...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...equal to the angle BAE ; and they are in one plane, which is impoffible. Alfo, from a point n. bove a plane, there can be but one perpendicular to that...for, if there could be two, they would be parallel b to one another, which is abfurd. Therefore, from the fame point, &c. D PROP. XIV. THEO R. to which...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...CAE is equal to the angle BAE ; and they are in j5"~ ' A. "j3 one plane, which is impoffible. Alfo, from a point above a plane, there can be but one perpendicular to that. plane; for, if there could be two, they P 4 would okyn. would be parallel b to one another, which is abfurd. There 6/7." fre, frmt*16 fame...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...CAE is equal to the angle BAE; and they are in one plane, -A* .A. JLJ which is impofllble. Alfo, from a point above a plane there can be but one perpendicular...for if there could be two, they would be parallel b to one another, which is abfurd. Therefore from the fame point, &c. Q^ED 6. it. P PROP. XIV. THEOR....
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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
...Wherefore BC the ahgle CAE is equal to the angle BAE; and they are in one plane, which is impossible. Also, from a point above a plane, there can be but...that plane ; for, if there could be two, they would b 6. 11. be parallel b to one another, which . is absurd. Therefore, from the same point, &c. JJ *s...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1810 - 518 pages
...Wherefore the angle CAEis equal to theangle BAE; and they are in one plane, ( vhich is impossible. Also, from a point above a plane, there can be but one perpendicular to I hat plune ; for, if there could be two, they ~ would be parallelh to one another, " . *. which...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...reason liAE is a right angle. Where- the angle BAE ; and they are in one plane, which is impossible. Also, from a point above a plane, there can be but...perpendicular to that plane: for, if there could be b 6.1i. two, they would be parallel b to one another, which is absurd. Therefore, from the same point,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...Wherefore the angle CAE is equal to D~ A ^ the angle BAE; and they arc in one plane, which is impossible. Also, from a point above a plane, there can be but...for, if there could be two, they would be parallel b to one another, which is absurd. Therefore, from the same point, &c. QED PROP. XIV. THEOR. 1: PLANES...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...Wherefore the angle CAE is equal to the angle BAE ; and they are in one plane, which is impossible. Also, from a point above a plane, there can be but...for if there could be two, they would be parallel (6. 2. Sup.) to one another, which is absurd. Therefore, from the same point, &c. Q, ED PROP. XII....
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