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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 the point A, parallel to the straight hue BC. "
A Treatise on Elementary Geometry: With Appendices Containing a Collection ... - Σελίδα 79
των William Chauvenet - 1884 - 368 σελίδες
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Elements of Surveying: Including a Description of the Instruments and the ...

Charles Davies - 1837 - 342 σελίδες
...DESCRIBED. PROBLEM I. At a given point in a given straight line, to erect a perpendicular to the line. 27. Let A be the given point, and BC the given line. From A lay off any two distances AB and AC equal to each other. Then, from the points B and C, as centres,...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 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, and BC the given straight line ; it is required to draw from the point A a straight line equal to BC. «i PO«. From...

Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 376 σελίδες
...DESCRIBED. PROBLEM I. At a given point in a given straight line, to erect a perpendicular to the line. 27. Let A be the given point, and BC the given line. From A lay off any two distances AB and AC equal to each other. Then, from the points B and C, as centres,...

First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 262 σελίδες
...AB. PROBLEM IX. At a given point in a given straight line, to erect a perpendicular to the line. 17. Let A be the given point, and BC the given line. From A lay off any two distances j) AB and AC equal to each other. Then, from the points B and C, as centres,...

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

Euclides - 1841 - 378 σελίδες
...Wherefore straight lines, &c. QED * ". l. PROP. XXXI. PROB. 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 r A r straight line through the point A, ~/ parallel to the...

Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - 1835 - 388 σελίδες
...DESCR1BED. PROBLEM 1. At a given point in a given straight line, to erect a perpendicular to the line. 27. Let A be the given point, and BC the given line. From A lay off any two distances AB and AC equal to each other. Then, from the points B and C, as centres,...

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

John Playfair - 1842 - 332 σελίδες
...parallel <Q \ TJ (27. 1.) to CD. ' f \ PROP. XXXI. PROB. 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 the point A, parallel to the straight...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 σελίδες
...therefore AB is parallel (27. 1.) to cD PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and вc the given straight line; it is required to draw a E straight line through the point A parallel...

Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 108 σελίδες
...are equal (B. II. Prop. 4, Cor. 1). PROP. V. PROBLEM. Through a given point to draw a straight line parallel to a given straight line. Let A be the given point, DC the given line. From A as a centre, with any radius longer than the shortest distance from A to...

Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 σελίδες
...straight lines which are, &c. QED PROPOSITION XXXI. PROBLEM. To dram 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 through the point A a straight line parallel to the straight...




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