Books Books 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. Elements of geometry, containing the first two (third and fourth) books of ... - Page 106
by Euclides - 1871 ## Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 332 pages
...are alter- \K nate angles ; therefore AB is parallel C \ T\ (27. 1.) to CD. \ ** PROP. XXXI. PROB. To draw a straight line through a given point parallel to a given straight line. 30 E In BC take any point D, and join AD ; and at the point A, in the straight line AD, make (23. 1.)... ## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid - Geometry - 1837 - 410 pages
...described one on each side of it. PROP. II. PROB. FUOM 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 A a straight line equal to BC. From the point... ## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...two straight lines which shall both be parallel to the same .wght line. PROPOSITION XXXI. Problem. To draw a straight line / through a given point parallel to a g - f, given straight line. PROPOSITION XXXII. Theorem. If a side of any triangle be produced, the... ## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...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... ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 pages
...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 parallel...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... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...are alter- VK nate angles ; therefore AB is parallel <Q \ TJ (27. 1.) to CD. ' f \ PROP. XXXI. PROB. To draw a straight line through a given point parallel...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... ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 pages
...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 parallel...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 Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1844 - 338 pages
...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... ## Elements of Plane Geometry: For the Use of Schools

Nicholas Tillinghast - Geometry, Plane - 1844 - 108 pages
...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... 