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" AB shall be at right angles to the plane CK. Let any plane DE pass through AB, and let CE be the common section of the planes DE, CK ; take any point F in CE, from which draw FG in the plane DE at right D angles to CE ; and because AB is , perpendicular... "
The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Page 211
by Robert Simson - 1775 - 520 pages
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...any plane DE pass through AB, and let CE be the common section of the planes DE, CK ; take any point in CE, from which draw FG in the plane DE at right angles to CE. And hecause AB is perpendicular to the plane CK, therefore it is also perpendicular to every straight line...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...through AB is perpendicular to CK. Let any plane DEpass through AB, and let CE be its common section with CK ; take any point F in CE, from which draw FG in the plane DE perpendicular to CE. Then, because AB is perpendicular to CK, it is perpendicular (XI. def. 1.) to...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...at right angles to the plane CK. Let any plane DE pass through AB, and let CE be the common section of the planes DE, CK ; take any point F in CE, from which draw FG in the plane DE at right D angles to CE ; and because AB is , perpendicular to the plane CK, therefore it is also perpendicular...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...angles to the plane CK ; every plane which passes through AB shall be at right angles to the plane CK. * any point F in CE, from which draw FG in the plane DE at right* angles to CE; and fe_j._*.._j?,_ " * 11. I. because AH is perpendicular is also perpendicular to every to the plane CK,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...at right angles to the plane CK. Let any plane DE pass through AB, and let CE be the common section of the planes DE, CK ; take any point F in CE, from...draw FG in the plane DE at right angles to CE : And because AB is perpendicular to the plane CK, therefore it is also perpendicular to every straight line...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...at right angles to the plane CK. Let any plane DE pass through AB, and let CE be the common section of the planes DE, CK ; take any point F in CE, from...draw FG in the plane DE at right angles to CE. And because AB is perpendicular to the plane CK, therefore it is also perpendicular to every straight line...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...at right angles to the plane CK. Let any plane DE pass through AB, and let CE be the common section of the planes DE, CK; take any point F in CE, from...which draw FG in the plane DE at right angles to CE. (i. 11.) And because AB is perpendicular to the plane CK, therefore it is also perpendicular to every...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...AB is perpendicular to CK. Let any plane DE pass through AB, and let CE be its common section with CK ; take any point F in CE, from which draw FG in the plane DE perpendicular to CE. Then, because AB is perpendicular to CK, it is perpendicular (XI. def. 1) to CE,...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...through AB, and let CE be the common section of the planes DE, CK ; take D <> A „ H ' ' any point rm CE, from which draw FG, in the plane DE, at right angles to CE : And because AB is perpendicular to the plane CK, therefore it is also perpendicular to every straight line...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...right angles to the plane CK. Let any plane , DE pass through AB, and let CE be the common section of the planes DE, CK ; take any point F in CE, from...draw FG in the plane DE at right angles to CE : And because AB is perpendicular to the plane CK, therefore it is also perpendicular to every straight line...
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