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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 ; it is required to draw a straight line through EAF the point A, parallel to the straight line ' "
Elements of Geometry: Containing the First Six Books of Euclid, with a ... - Σελίδα 27
των Euclid, John Playfair - 1853 - 317 σελίδες
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 σελίδες
...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...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 311 σελίδες
...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....

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...angles; therefore AB is parallel b to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROS. To draw a straight line through a given point parallel to...given straight line; it is required to draw a straight l/ A ' IT line through the point A, parallei to the straight line BC. In BC take any point D, and join...

An Elementary Treatise on the Geometrical and Algebraical Investigation of ...

Daniel Cresswell - 1817 - 436 σελίδες
...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...

A Supplement to the Elements of Euclid

Daniel Cresswell - 1819 - 410 σελίδες
...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...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 σελίδες
...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...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1819 - 377 σελίδες
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 516 σελίδες
...therefore AB is parallel (27. 1) to CD. Wherefore straight lines, &c. QED PROP. XXXI. PROB. .X To draw a straight line through a given point parallel to...straight line; it is required to draw a straight line EAF through the point A, parallel to the . straight line BC. In BC take any point D, and join AD;andatthepointA,inthest...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED Proposition XXXI. Problem. To draw a straight line through a given point parallel to...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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