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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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...impossible. [Axiom, 91 Wherefore two straight lines cannot have a common segment. PROPOSITION 12. 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 the given point without...
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An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...ends of the chord, and prove after the manner of Proposition XI.) 43, 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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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...the greater, which is impossible; therefore two straight lines cannot have a common segment. XII. — 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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Yale Examination Papers

F. B. Stevens - Examinations - 1884 - 202 pages
...Binomial Theorem. 10. Insert three geometrical means between \ and 128. GEOMETRY. * 1876. (EUCLID.) 1. To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it. • 2. The straight lines which join the extremities of two equal and parallel straight Hues towards...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...equal to one another. Axiom 9. The whole is greater than its part. p. G. PROPOSITION XII. PROBLEM. To draw a straight line perpendicular to a given straight...an unlimited length, from a given point without it. GIVEN in position the straight line AB of unlimited length, and a point C without it; IT is REQUIRED...
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Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884 - 94 pages
...EUCLID SHEETS. PROPOSITIONS 1-26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PEOPOSITION XII. To draw a straight line perpendicular to a given straight line of unlimited length, from a given point without it. Let be the given straight line, which may be produced...
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A Short History of Greek Mathematics

James Gow - Mathematics - 1884 - 350 pages
...His fellow-townsman, Hecatacus, Eudemus is cited in the latter passage. r _sglntion_gf two problems, 'To draw a straight line perpendicular to a given straight line of unlimited length, from a given point without it' (Euclid I. 12.) and 'At a given point in a given straight...
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The Practical Teacher, Volume 4

Education - 1885 - 630 pages
...equal in ever)- respect, for the remaining side AD = EH, the L ADC = L EHG, and the L BAU = L FEH. 2. To draw a straight line perpendicular to a given straight line of unlimited length, from a given point without it. Prop. 12, Bk. I. 3. To make a triangle of which the...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

Euclid - Geometry - 1890 - 442 pages
...A" PXQ, PYQ, we have PX = PY, PQ common, and QX = QY ; AA .-. QPX = QPY. 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 line ; P the given pt. without...
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The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...of a quadrilateral bisects the other at right angles it must be a rhombus. 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...
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