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" Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC. "
Euclid - Σελίδα 63
των Euclid, Rupert Deakin - 1903 - 164 σελίδες
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...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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...properties of parallel lines are also the criteria for distinguishing parallels. PROP. XXVI. PROS. Through a given point, to draw a straight line parallel to a given straight line. To draw, through the point C,a straight line parallel to AB. . In AB take any point D, join CD, and...

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

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

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...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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...by drawing the parallel through Q' instead, of &", and using the distance P"Q" instead ' PROBLEM VI. Through a given point to draw a straight line parallel to a given straight line. Let AB be the ground line, pqf and p"$" the horizontal and vertical projections of the given line, and...

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...Wherefore straight lines, &c. QED Proposition XXXI. Problem. To draw a straight line through a given point parallel to a 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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...straight lines. &e, QED PROP. XXXI. PROB. To draw a straight line through a given point parallel td a given straight line. Let A be the given point, and BC the given straight line, it is required tit draw a straight line thrbugh thfe point A, parallel to the straight line BC. In BC take any point...

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...be done. 1 1 Po»t. • 1st A*1mii. 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* the straight line AB; •...




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