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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. "
The Elements of Geometry, Symbolically Arranged - Page 21
by Great Britain. Admiralty - 1846
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 172 pages
...Hence, by ART. I, AD is equal to DB. This, &c. PROB. VI. To draw a perpendicular to a given right line, from a given point without it. Let AB be the given line, c the point without it. It is required to draw from C the point oa perpendicular to AB. / [ \ side...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...C, in the given straight line AB, FC has been drawn at right angles to AB. PROPOSITION XII. PROBLEM. To draw a straight line perpendicular to a given straight...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. It is...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...straight line AB, FC has been drawn at right angles to AB : which was to be done. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given straight line, which may be produced any length both ways, and let C be a point without it. It is required...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...(Argument ad absurdum). Two right lines cannot have a common segment. ;B PROPOSITION XII. Problem. To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it. C B PROPOSITION XIII. Theorem, The angles which one straight line makes with another on one side of...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...given point C, in i given straight line AB, FC has been drawn at right angles to AB. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...of an unlimited length, from a given point without itt Let AB be a given straight line, which may be produced to any length both ways, and let C be a...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...greater; which is impossible; therefore two straight lines cannot have a common segment. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...unlimited length, from a given point without it. Let AT! be the given straight line, which may be produced to any length both ways, and let C be a point...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...greater; which is impossible: therefore two straight lines cannot have a common segment. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given straight line, which may be produced any length both ways, and let C be a point without it. It is required...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...given point C, in the given straight line AB, FC has been drawn at right angles to AB. PROP. XII. PROB. To draw a straight line perpendicular to a given straight...unlimited length, from a given point without it. Let AB be a given straight line, which may be produced to any length both ways, and let C be a point without...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...; which is impossible ; therefore two straight lines cannot have a common segment. PROP. XII. PROB. To draw a straight line perpendicular to a given straight line of an unlimited length, from a given point on its exterior. Let л B be the given straight line, which may be produced to any length both ways,...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...straight line AB, FC has been drawn at right angles to AB : which was to he done. PROP. XII. PROB. — To draw a straight line perpendicular to a given straight...from a given point without it. Let AB be the given straight line, which may be produced any length both ways, and let C be a point without it. It is required...
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