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" To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point without it. Let AB be the given straight line, which may be produced to any length both ways, and let c be a point without it. "
Mensuration for Beginners: With Numerous Examples - Page 18
by Isaac Todhunter - 1869 - 296 pages
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...latter proposition is a particular case of the former. PROPOSITION 12. PROBLEM. To draw a straight line perpendicular to a given straight line from a given point without it. 0 •B Let AB be the given straight line, and C the given point without it : it is required to draw...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...and C ; consequently, DA is perpendicular to BC at the given point A (BI, P. XVI., C.). PROBLEM III. To draw a perpendicular to a given straight line, from a given point without that line. Let FG be the given line, and A the given point. From A, as a centre, with a radius sufficiently...
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Proceedings of the Edinburgh Mathematical Society, Volumes 5-6

Edinburgh Mathematical Society - Mathematics - 1887 - 316 pages
...equal to the given aperture as have been cut off from AB. 4. Euclid I. 10. Tartaglia's solution. 5. To draw a perpendicular to a given straight line from a given point outside it. Euclid I. 12. See figure 35. Let AB be the given straight line, C the given point. Join...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...PROPOSITION 12. PROBLEM. To draw a straight line perpendicular to a given straight line of unlimited length from a given point without it. Let AB be the given straight line which may be produced to any length both ways, and let C be the given point without it ; it is required...
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 188 pages
...Proposition 12. 78. To draw a straight line perpendicular to a given straight line from a given point witlwut it. Let AB be the given straight line and C the given point ; it is required to draw from C a straight line which shall be perpendicular to AB. Construction. On...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1892 - 460 pages
...draw a straight line at right angles to a yiven. straight line, from a given point in the same. AD CEB Let AB be the given straight line, and C the given point in it. It is required to draw from the point C a straight line at right angles to AB. Construction....
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...for any additions you may make :— (o) To bisect a given straight line ; (6) To draw a straight line perpendicular to a given straight line from a given point without it. 17 4. Prove that case of Euclid I. 7, where the vertex of each triangle is without the other triangle....
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...PROPOSITION 11. To draw a straight line at right angles to a given straight line from a given point in it. Let AB be the given straight line, and C the given point in it : it is required to draw from C a straight line at right angles to^.e. CONSTRUCTION. Take any...
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Annual Report

1894 - 1136 pages
...that in tbe triangle '( bc, if ob be greater than ac, the angle а с b will be greater than ab с. 7. Draw a perpendicular to a given straight line from a given point without it. 8. Construct a triangle having its sides equal to three given straight lines. 9. If two straight lines...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...respectively equal to the angles A, B, C of the first triangle. (10.) 8. Show how to draw a straight line perpendicular to a given straight line from a given point without it. An equilateral triangle and an isosceles triangle are upon the same base ;" show that the line joining...
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