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" To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line... "
Elements of geometry: Being chiefly a selection from Playfair's geometry - Página 42
por John Playfair - 1829 - 186 páginas
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 páginas
...AB. Which was required to be done. PROP. II. PROB. FROM a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line ; it is required to draw from the point A a straight line equal to BC. From the point A to B draw a the straight line AB; and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 páginas
...Which was required to be done. PROP. II. PROB. • FROM a given point to draw a straight line equal to a given straight line. Let A be the given point,...BC the given straight line ; it is required to draw from the point A a straight line equal to BC. Book I. d 3. Pott, e U. Def. f 19. Def. g 3. Ax. hi....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...Wherefore straight lines, &c. Q, ED therefore also AGK is equal to GKD; and they are alterPROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let Abe the given point, and BC the given straight line; it is required to draw a straight ^ A r. line...
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An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 436 páginas
...another, the figure is a parallelogram. . COR. 1. Hence may be deduced a practical method of drawing a straight line, through a given point, parallel to a given straight line. COR. 2. A rhombus is a parallelogram. PROP. XXIX. (xvH.) • i Every parallelogram which has one angle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 333 páginas
...AB ~ \ D is parallel (27.1.) to CD. Where- \ fore straight lines, &c. QED PROP. XXXI. PROB. To druw a straight line through a given point parallel to...given point, and BC the given straight line ; it is ret quired to draw a straight line . through the point A, parallel t« "^*" - — ' — the straight...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 páginas
...•*' isparalief(27.1.)toCD. Where- X fore straight lines, &c. Q, ED PROP. XXXI. PROB. To draw a^raight line through a given point parallel to a given " straight...given point, and BC the given straight line ; it is re* Quired to tJraw a straight line » through the point A, parallel t$ ** . .— — the straight...
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A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 páginas
...DC ; *'. e. the figure ABCD is a O. 27. COR. 1. Hence may be deduced a practical method of drawing a straight line, through a given point, parallel to a given straight line. For, let it be required to draw through the given point B, a straight line parallel to AD : From any...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 páginas
...PROBLEMS. . •' <.' ''/:•' . SECT. I. (1.) FROM a given point, to draw the shortest line possible to a given straight line. Let A be the given point, and BD the given line. From A let fall the perpendicular AC; this will be less than any other line AD drawn...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 páginas
...triangle. GEOMETRICAL PROBLEMS. SECT. I. (1.) FROM a given point, to draw the shortest line possible to a given straight line. Let A be the given point, and BD the given line. From A let fall the perpendicular AC; this will be less than any other line AD drawn...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 páginas
...they are alternate angles j therefore AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED Proposition XXXI. Problem. To draw a straight line...given straight line. Let A be the given point, and BC E л г the given straight line ; it is required .to draw a straight line through the ./^ point A,...
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