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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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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 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 to any length both ways, and let C be a point without it. It is...
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The London University Calendar

London univ - 1852 - 358 pages
...their other angles shall be equal each to each, viz. those to which the equal sides are opposite. 4. To draw a straight line perpendicular to a given straight line of unlimited length, from a given point without it. 5. If from the ends of a side of a triangle, there...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...impossible ; therefore 4. Two straight lines cannot have a common segment. PROP. XII. — PROBLEM. To draw a, straight line perpendicular to a given...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...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...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 to any length both ways, and let c be a point without it. It is...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...have a common segment. Ant PROPOSITION XII. PiiOB. To draw a straight line perpendicular to a giren 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. It is...
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The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...to make the similarity between these two propositions more apparent. PROPOSITION XII. PHOBLEM. — To draw a straight line perpendicular to a given straight line of an unlimited length (AB), from a given point (C) without it. SOLUTION. Take any point D upon .---$--. the other side of...
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Elements of geometry and mensuration

Thomas Lund - Geometry - 1854 - 520 pages
...from the line, or from a known point without it towards the line. cular to a given straight line of unlimited length from a given point without it. Let AB be the given straight line, and C a given point without it, from which it is required to draw a perpendicular to...
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The popular educator, Volume 4; Volume 7

Popular educator - 1852 - 1272 pages
...How may this proposition be proved, when the triangles are on different sides of the common base ? 6. To draw a straight line perpendicular to a given straight line of unlimited length, from a given point without it. 6. If a straight line fall upon two parallel straight...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...the sides also which subtend, or are opposite to the equal angles, shall he equal to one another. 2. Draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior and opposite...
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National Society's Monthly Paper

1855 - 264 pages
...the sides also which suhtend, or are oppositeto, the equal angles, shall he equal to one another. 2. Draw a straight line perpendicular to a given straight line of an unlimited length, from u given point without it. 3. If a side of any triangle be produced, the exterior angle is equal to...
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