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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 - Page 294
by Euclid - 1908
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...straight line AF is drawn perpendicular to that plane. Which was to be done. PROP. XII. PROB. TO erect a straight line at right angles to a given plane, from a point given in the plane. DB Let A be the point given in the plane ; it is required to erect a straight...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...draw a straight line perpendicular to а plane, from a given point above it. Prop. XII. Prob. To erect a straight line at right angles to a given plane, from a point given Ы the plane. Prop. XIII. T.heor. From the same point in a giren plane, there cannot be...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...straight line AF is drawn perpendicular to that plane : Which was :o be done. PROP. XII. PROB. 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 io erect a straight...
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The Cyclopædia, Or, Universal Dictionary of Arts, Sciences, and ..., Volume 34

Abraham Rees - Art - 1819 - 754 pages
...fourth ftraight line, thus drawn, is perpendicular to the plane. XII. Problem. — To ereft a ftraight line at right angles to a given plane from a given point in the plane. From any given point above the plane draw a ftraight line perpendicular to the plane, and...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...straight line AF is drawn perpendicular to that plane. Which was to be done. PROP. XII. PROB. 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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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...straight line AF is drawn perpendicular to that plane : Which was to be done. PROP. XII. PROB. To erect a straight line at right angles to a given plane, from a given point in the plane. Let A be the point given in the plane ; it is required to erect a straight line from the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...straight line AF is drawn perpendicular to that plane : Which was to be done. PROP. XII. PROB. To erect a straight line at right angles to a given plane, from a given point in the plane. Let A be the point given in the plane ; it is required to erect a straight line from the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...straight line AF is drawn perpendicular to that plane. Which was to be done. PROP. XII. PROB. 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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...AF is drawn perpendicular to that plane. Which was to be done. PROPOSITION XII. PROB. — 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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...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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