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" CA is at right angles to the given plane, it makes right angles with every straight line meeting it in that plane. But DAE, which is in that plane, meets CA : therefore CAE is a right angle. For the same reason BAE is a right angle. Wherefore the angle... "
Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ... - Side 9
av A. Bell - 1837 - 164 sider
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 sider
...CA ; therefore CAE is a right angle, for the fame reafon BAE is a right angle, "wherefore 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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 sider
...But DAE, which is in that plane, meets CA ; therefore C AE is a right angle. For the fame reafon BAE is a right angle. Wherefore the angle CAE is equal...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,...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 sider
...But DAE, which is in that plane, meets CA ; therefore CAE is a right angle. For the fame reafon BAE is a right angle. Wherefore the angle CAE is equal...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 plane ;...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 sider
...plane. but DAE which is in that phne meets CA; therefore CAE is a right angle. for the fame reafon BAE is a right angle. wherefore the angle CAE is equal...the angle BAE ; and they are in one plane, which is impoftible. Alfo, from a point above a plane there can be but one perpendicular to that plane ; for...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - 1795 - 400 sider
...But DAE, which is in that plane, meets CA ; therefore CAE is a right angle. For the fame reafon RAE is a right angle. Wherefore the angle 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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...but DAE which is in that plane meets CA ; therefore C AE is a right angle, for the fame reafon BAE is a right angle. wherefore the angle 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 sider
...CA; therefore CAE is a right angle. For the same reason BAE is a right angle. Wherefore BC the ahgle CAE is equal to the angle BAE; and they are in one...Also, from a point above a plane, there can be but one perpendicular to that plane ; for, if there could be two, they would b 6. 11. be parallel b to one...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 sider
...plane, meets CA ; therefore CAE is a right angle. For the same reason BAE is a right angle. Wherer fore the angle CAE is equal to the angle BAE ; and they are in one plane, which is impossible. b Def. 1. 2. Sup. A E Again, from a point above a plane there can be only one perpendicular to that...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 sider
...a right angle. 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,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...plane, meets CA; therefore CAE is a right angle. For the same reason liAE is a right angle. Where- • the angle BAE ; and they are in one plane, which is...Also, from a point above a plane, there can be but one perpendicular to that plane: for, if there could be b 6.1i. two, they would be parallel b to one another,...
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