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" From the same point in a given plane there cannot be two straight lines at right angles to the plane, upon the same side of it : and there can be but one perpendicular to a plane from a point above the plane. "
The Elements of Descriptive Geometry ... - Página 10
por Thomas Grainger Hall - 1841 - 100 páginas
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 páginas
...equal angles. XI. From the same point in a plane, there cannot be two straight lines at right angles to the plane, upon the same side of it : and there can be but one perpendicular to a plane from a point above it. XII. Planes to which the same straight line...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 páginas
...angles to the given plane, the other AD is also (XI. 8.) at right angles to it. PROP. XIII. THEOR. FROM the same point in a given plane, there cannot be two straight lines drawn perpendicular to the plane, upon the same side of it : and there can be but one perpendicular...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - 1837 - 180 páginas
...AF, it will be perpendicular to the same plane to which AF is perpendicular. PROPOSITION XI. THEOREM. From the same point in a given plane, there cannot be two straight lines at right angles to the plane, upon the same side of it ; and there can be but one perpendicular to...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...at right angles to a given plane from a point given in it. Which was to be done. PROP. XIII. THEOR. From the same point in a given plane, there cannot be two straight lines at right angles to the plane, upon the same side of it: and there can be but one perpendicular to a...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 páginas
...AF it will be perpendicular to the same plane to which AF is perpendicular (7. PL). PROP. XI. THEOR. FROM the same point in a given plane, there cannot be two straight lines at right angles to the plane upon the same side of it : and there can be but one perpendicular to a...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...PROP. XI. THEOR. From the same point in a plane, there cannot be two straight lines at right angles to the plane, upon the same side of it ; And there can be but one perpendicular to a plane from a point above it. For if it be possible, let the two straight...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 páginas
...angles to a given plane, from a point given in it. Which was to be done. PROPOSITION XIII. THEOR. — From the same point in a given plane, there cannot be two straight lines at right angles to the plane, upon the same side of it : and there can be but one perpendicular to...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 382 páginas
...angles to the given plane, the other AD is also (XI. 8) at r: if ht angles to it. PROP. XIII. THEOR. — From the same point in a given plane, there cannot be two straight lines drawn perpendicular to the plane, upon the same side of it : and there can be but one perpendicular...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 páginas
...erected at right angles to a given plane, from a point given in it. QKF PROPOSITION XIII. THEOREM. From the same point in a given plane, there cannot be two straight lines at right angles to the plane, upon the same side of it : and there can be but one perpendicular to...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 168 páginas
...8 of this. 11 Th. From the same point in a plane there cannot be two straight lines at right angles to the plane, upon the same side of it. And there can be but one perpendicular to a plane from a point above it. Recite p. 3, 6 of this. 12 Th. Planes to which...
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