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" ... plane, from a given point above it. Let A be the given point above the plane BH; it is required to draw from the point A a straight line perpendicular to the plane BH. "
The Elements of Euclid with Many Additional Propositions and Explanatory Notes - Page 116
by Eucleides - 1860
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - Geometry - 1733 - 444 pages
...in the * i*. i. Plane BH, and let AD be drawn * from the Point A perpendicular to BC ; then if AD be perpendicular to the Plane BH, the thing required is already done. But if not, let DE be drawn in the Plane from the Point D at Right Angles to BC; and let AF be drawn * from...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...third plane, and let BD be the common fection of the firft two. BD is perpendicular to the third plane. If it be not, from the point D draw, in the plane AB, the ftraight line DE at right angles to AD the common fection of the plane AB with the third plane...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...ftraight line BC, and from the point a i». f. A draw * AD perpendicular to BC. If then AD be alfo perpendicular to the plane BH, the thing required is already done ; but if it be not, from the bzi. i. point D draw b, in the plane BH, the ftraight line DE at right angles to BC j and from the...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...plane, and let BD be the common fection of the firft two ; BD is perpendicular to the third plane. If it be not, from the point D draw, in the plane AB, the ftraight line DE at right angles to AD the common fection of the plane AB with the third plane...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine, to ...

John Keill - Geometry - 1782 - 476 pages
...in the Plane BFJ; and let AD be drawn * from the Point A,»IZ.I, perpendicular to BC ; then if AD be perpendicular to the Plane BH, the Thing required is already done ; but, if not, let DE be drawn in the Plane from the* , Point D, at Right Angles to BC ; and let AF be drawn...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...line BC, and from the point A draw " AD perpendicular to BC. If then AD be alfo perpendicular to-the plane BH, the thing required is already .done ; but if it be not, from the point D draw b, in the B'ane BH, the ftraight line E at right angles to BC ; and from the point A draw AF perpendicular...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...ftraight line BC, and from the point a it. i. A draw » AD perpendicular to BC. If then AD be alfo perpendicular to the plane BH, the thing required...already done ; but if it be not, from the point D b ni draw b, in the plane BH, the ftraight line DE at right angles to BC ; and from the point A draw...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...draw any ftraight line BC, and from the point A draw » AD perpendicular to BC. If then AD be alfo perpendicular to the plane BH, the thing required...already done; but if it be not, from the point D draw b A in the plane BH, the ftraight line DE at right angles to BC; and from Jfi ' the point A draw tA.F...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...ftraight line BC, and from the point , ,2. ,. A draw » AD perpendicular to BC. If then AD be alfo perpendicular to the plane BH, the thing required is already done ; but if it be not, from , x the point D , draw b, in the •• plane BH, the ftraight line • j£ DE alright angles to BC...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...any straight line BC, and from the point A drawa AD perpendicular to BC ; then if AD be also » 12- 1 perpendicular to the plane BH the thing required is...already done. But if it be not, from . the point D drawb, in the ^ yj-A- bll. 1. plane BH, the straight line DE at right angles to BC ; and from the point...
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