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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 for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 Seiten
...the straight line AF has been drawn perpendicular to the plane. QEF PROPOSITION 12. PROBLEM. To erect a straight line at right angles to a given plane, from a given point in the plane. Let A be the given point in the given plane : it is required to erect a straight line from...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 Seiten
...the straight line AFhas been drawn perpendicular to the plane. QEF PROPOSITION 12. PROBLEM. To erect a straight line at right angles to a given plane, from a given point in the plane. Let A be the given point in the given plane : it is required to erect a straight line from...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 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 the plane. Let A be the point given in the plane. It is required to erect a straight...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 372 Seiten
...plane BH. Thus from A a line AF is drawn x to the plane BH. QEF PROPOSITION XII. THEOREM. To erect a straight line at right angles to a given plane, from a given point in the plane. Let A be the given pt. in the given plane. It is required to erect a st. line from A±to...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 Seiten
...plane BH, the straight line AF is drawn perpendicular to it. QEF PROPOSITION 12. — Problem. To draw 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 plane. It is required to draw a straight...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 Seiten
...the straight line AF has been drawn perpendicular to the plane. QEF PROPOSITION 12. PROBLEM. To erect a straight line at right angles to a given plane, from a given point in the plane. Let A be the given point in the given plane : it is required to erect a straight line from...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 426 Seiten
...the straight line AFhas been drawn perpendicular to the plane. QEP PROPOSITION 12. PROBLEM. To erect a straight line at right angles to a given plane, from a given point in the plane. Let A be the given point in the given plane : it is required to erect a straight line from...
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Annual Report of the Schools of New Brunswick ... by the Chief ...

New Brunswick. Board of Education - 1889 - 1006 Seiten
...any point in the one to any point iu the other, is in the same plane with the parallels. 4. To erect a straight line at right angles to a given plane, from a given point in the plane. 5. Similar polygons inscribed in circles are to one another as the squares on the diameters...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 Seiten
...[XI. 8. .-. GH is xrto AF; v AF is xr to GH, DE ; .-. AF is xrtopl. MN. [XI. 4. PROP. 12.— To erect a straight line at right angles to a given plane from a given point in the plane. Let A be the given pt., MN the given plane ; it is reqd. to ect a st. line from A xr to...
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Euclid's Elements of Geometry, Bücher 1-6;Bücher 11

Henry Martyn Taylor - 1895 - 706 Seiten
...in the ratio of the area of the base to the sum of the areas of the faces. PROPOSITION 11. To draw a straight line at right angles to a given plane from a given point wthout it. Let ABC be a given plane and D a given point without it : it is required to draw from D...
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