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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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...impossible ; therefore two straight lines cannot have a common segment. ^ PROPOSITION 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 to any length both ways, and let C be a point without it. It is...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...is impossible. Therefore two straight lines cannot have a common segment. 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 any length both ways, and let C be a point without it. It is required...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - Geometry - 1846 - 128 pages
...adj. L s, Pr P- '• andFCj_AB. Def. 10. Therefore there has been drawn, &c. PROP. XI. PROB. 12. IE. To draw a straight line perpendicular to a given straight...other side of AB. From cent. C, dist. CD, descr. 0 EGDFp os t.; meeting AB in F and G; bisect FG in H ; join Prop. CH. ti CH J_ AB. Join CF, CG ; . ....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 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 lin,e perpendicular to a given...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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...greater — which is absurd : Wherefore two straight lines cannot have a common segment. PROP. XII. PROB. 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...
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The first book of Euclid's Elements, simplified, explained and illustrated ...

Euclides - 1847 - 128 pages
...= CG. Wherefore, if the three sides of a A be bisected, &c. — QED PROP. XII. PROB. GEN. ENUN. — To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it. PART. ENUN. — Let AB be the gn. st. line, which may be produced to any length both ways, and let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1847 - 340 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 line, of an unlimited length, from agiven point without it. Let AB be a given straight line, which may be produced to any length both...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 pages
...problem, it may be demonstrated, that two straight lines cannot have a common segment. PROP. XII. PROBLEM. To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it. PROP. XIII. THEOREM. The angles which one straight line makes with another upon one side of it, are...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 pages
...c 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 to any length both ways, and let c be a point without it. It is...
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Annual Report of the Commissioners ...

1851 - 382 pages
...angle, is greater than the base of the other, 2. To draw a straight line perpendicular to a 37 18 6 given straight line of an unlimited length, from a given point without it, 3. If a straight line be d ividedinto two equal and 20 7 also into two unequal parts, the squares of...
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