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" To erect a straight line at right angles to a given plane, from a point given in the plane. Let A be the point given in the plane. "
Books 10-13 and appendix - Seite 294
von Euclid - 1908
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 Seiten
...BH, the straight line AF has been drawn perpendicular to the plane. UMI'. PROP. XII. PUOB. To erect a straight line at right angles to a given plane, from a point given in the plane. Let A be the given point in the given plane : it i* required to erect a straight...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 Seiten
...a straight line perpendicular to a plane, from a given point above it. PROP. XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point given in the plane. PROP. XIII. THEOREM. From the same point in a given plane, there cannot be...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855 - 226 Seiten
...plane BH, the straight line AF is drawn perpendicular to that plane. PROPOSITION XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point (A) given in the plane. SOLUTION. From any point B above the plane, draw BC perpendindar to it...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 258 Seiten
...the plane BH, the straight line AF и drawn perpendicular to it. QE í PROP. XII. PBOBLEM. To draw a straight line at right angles to a given plane, from a point given in the plane. Let A he the given point in the plane. It is required to draw a straight...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 Seiten
...plane BH, the straight line AF is drawn perpendicular to that plane. PROPOSITION XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point (A) given in the plane. SOLUTION. From any point B above the plane, draw BC perpendicular to...
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton - 1864 - 212 Seiten
...to it. Therefore angle AB C= angle ERG, or the parallelograms ABCD, EFGH, are equiangular. 6. Erect a straight line at right angles to a given plane from a given point in the plane. On a given equilateral triangle describe a regular tetrahedron. Let ABC (fig. 52) be the...
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Calendar

University of Cambridge - 1864 - 694 Seiten
...which is compounded of the ratios of their sides, the parallelograms shall be equiangular. 6. Erect a straight line at right angles to a given plane from a given point in the plane. On a given equilateral triangle describe a regular tetrahedron. 7- If OQ, OQ', touch a parabola...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 Seiten
...BH, the straight line AFis drawn perpendicular to that plane. QEF PROPOSITION XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point given in t lie plane. Let A be the point given in the plane. It is required to erect a straight...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 Seiten
...BH, the straight line AF is drawn perpendicular to that plane. QEF PROP. XII.— PROBLEM. To erect a straight line at right angles to a given plane, from a point given in the plane. (References — Prop. i. 31; xi. 8, 11.) Let A be the point given in the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 Seiten
...BH, the straight line AF is drawn perpendicular to that plane. QEF PROPOSITION XII. PROBLEM. To erect a straight line at right angles to a given plane, from a point given in the plane. Let A be the point given in the plane. It is required to erect a straight...
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