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" 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. "
An introduction to geometry, consisting of Euclid's Elements, book i ... - Page 20
by Euclides - 1884
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Elements of Geometry, Plane and Spherical: With Numerous Practical Problems

Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...required. Proof, (Th. 2, B. HI). PROBLEM VI. From a given point, to draw a line parallel to a given line. Let A be the given point, and BC the given line. Draw AC, making an angle, ACB; and from the given point, A, in the line AC, draw the angle CAD = AC£,...
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Mensuration for Beginners: With Numerous Examples

Isaac Todhunter - Measurement - 1869 - 312 pages
...Then DEF will be the triangle required. 44. Through a given print to draw a straight line parallel to a given straight line. Let A be the given point, and B (/the given straight line. Take any point D in BC. From the centre D, with the radius DA describe...
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Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1870 - 270 pages
...the station C, the distance from . B to A, or from . C to A, will be ascertained. PROP. 2. — PROB. from a given point to draw a straight line equal to a given straiglit line. SOL. — Pst. I. A st. line may be drawn from any point to any other point. P. 1. On...
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Elements of geometry, containing the first two (third and fourth ..., Part 1

Euclides - 1871 - 136 pages
...=AB, .: AC=BC. Ax. 1. Thus AC, AB, .8(7 are all equal, and an equilat. I\ABC has been described on AB. From a given point to draw a straight line equal to a given straight line. Let A be the given pt., and BC the given st. line. It is required to draw from A a st. line equal to BO. From A to B draw...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...the angles O and A (10). PROPOSITION XXX.— PROBLEM. 75. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From any point B in BC draw the straight D line BAD through A. At the point A, by ,{ the preceding...
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Transactions of the Cambridge Philosophical Society

Cambridge Philosophical Society - Philosophy - 1871 - 558 pages
...you have your circle, and then produce the line until it meets the circle. For, you see, you are told from a given point to draw a straight line equal to a given straight line, and to give a bit in is more than was atked of you. This was an emendation for which my respect was...
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Transactions of the Cambridge Philosophical Society

Cambridge Philosophical Society - Philosophy - 1871 - 572 pages
...have your circle, and then produce the line until it meets the circle. For, you see, you are toltl from a given point to draw a straight line equal to a given straight line, and to give a bit in is more than was asked of you. This was an emendation for which my respect was...
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The Elements of Plane and Solid Geometry

Henry William Watson - Geometry - 1871 - 320 pages
...or both obtuse (Bk. I. page 46). PROBLEM 6. 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 A a straight line parallel toBC. Take any point D in...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...the angles 0 and A (10). PROPOSITION XXX.—PROBLEM. 75. Through a given point, to draw a parallel to a given straight line. Let A be the given point, and BC the given line. From any point B in BC draw the straight * line BAD through A. At the point A, by ,{ the preceding...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...c\ABC has been described on AB. QBF For And Now PBOPOSITIO.V II. PROBLEM. Front a given point to drefw a straight line equal to a given straight line. Let A be the given pi, and BC the given st. line. It is required to draw from A a st. line equal to BC. From AtoB draw...
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