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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 E iR. "
The Element of Geometry - Página 13
por John Playfair - 1836 - 114 páginas
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 páginas
...nate angles ; therefore AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED / PROP. XXXI. PROB. To draw a straight line through a given point...line ; it is required to draw a straight line through EAF the point A, parallel to the straight line ~ BC. In BC take any point D, and join AD ; and at the...
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The Elements of Euclid

Euclid - 1838 - 470 páginas
...angles ; therefore AB is parallel (27. 1.) to CD. Wherefore straight lines, &c. QED O B PROP. XXXI. PROB. To draw a straight line through a given point...line ; it is required to draw a straight line through EAF the point A, parallel to the straight line '' BC. In BC take any point D, and join AD ; and at...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 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. «i PO«. From the point A to B draw* the straight line...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 páginas
...alternate angles; therefore AB is parallel • to CD. Wherefore straight lines, &c. QED * ". l. PROP. XXXI. PROB. To draw a straight line through a given point...BC the given straight line; it is required to draw a r A r straight line through the point A, ~/ parallel to the straight line BC. _ jf_ In BC take any...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 páginas
...is equal to GKD; and they are alternate angles ; therefore AB is parallel (27. 1.) to cD PROP. XXXI. PROB. To draw a straight line through a given point...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 páginas
...given straight line AB. PROP. II. PROB. From a given point to draw a straight line equal to a givtn 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. From the point A to B draw (1. Post.) the straight line...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1844 - 338 páginas
...they are alter- _ \TC _ nate angles ; therefore AB is parallel C \ TA (27. 1.) to CD. \ PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. AD; and at the point A, in the ** / IT In BC take any point D, and join _ -, straight line AD, make...
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Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - 1844 - 108 páginas
...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...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 páginas
...straight lines, &c. QED PROPOSITION XXXI. PROB. — To draw a straight line through a gieen point parattel to a given straight line. Let A be the given point,...draw a straight line through the point A, parallel to £ ^_ __F the straight line BC. / In BC take any point D, and join / AD ; and at the point A, in the...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 páginas
...parallel to CD. (i. 27.) Wherefore straight lines which are, &c. QED PROPOSITION XXXI. PROBLEM. To dram a straight line through a given point parallel to...BC the given straight line. It is required to draw through the point A a straight line parallel to the straight line BC. In the line BC take any point...
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