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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.
Elements of geometry, containing the first two (third and fourth) books of ... - Page 106
by Euclides - 1871

## An Elementary Treatise on Conic Sections

Charles Smith - Conic sections - 1883 - 452 pages
...equations, we have the required condition, viz. I , m, n = 0. I', m, n , b , c 255. To find the equation of a straight line through a given point parallel to a given straight line. Let the equation of the given line be li -f wi/3 + ny = 0. The required line meets this where an + &/3...

## Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 176 pages
...position exactly ? APPENDIX TO BOOK I. EU. I. 2. PROB. From a given point to draw a straight line eqnal to a given straight line. Let A be the given point, and BC the given st. line. To draw from A a st. line = BC. Join A with B, describe on AB an equiL A ADB (/....

## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...also AGK is equal to GKD ; and they are alternate angles ; therefore AB is parallel to CD. XXXI. — 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...

## The Elements of Plane Geometry ...

Association for the improvement of geometrical teaching - Geometry, Modern - 1884 - 150 pages
...equal to the angle HEG, /. 18. that is, AL makes with BC an angle equal to the angle DEF. QEF PROS. 6. To draw a straight line through a given point parallel...to a given straight line. Let A be the given point, BC the given straight line : it is required to draw through A a straight line parallel to BC. In BC...

## The elements of plane geometry, Volume 1

Mathematical association - 1884 - 146 pages
...equal to the angle HEG, /. 18. that is, AL makes with BC an angle equal to the angle DEF. FROB. 6. To draw a straight line through a given point parallel...to a given straight line. Let A be the given point, BC the given straight line : it is required to draw through A a straight line parallel to BC. In BC...

## The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 pages
...therefore AB is parallel to CD. I. 27. Therefore, straight lines &c. QE p. PROPOSITION XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. GIVEN A and EC ; IT is REQUIRED TO DRAW through A a straight line parallel to BC. D being a point in...

## An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...external to the given triangle ; show that the whole figure is an equilateral triangle. (10) 10. Show how to draw a straight line through a given point parallel to a given straight line. Draw a line DE parallel to the base BC of a triangle ABC, cutting AB in D and AC in E, so that DE shall...

## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 pages
...„ \> n 10. Five MHMH &c. PROPOSITION 2. PROBLEM. From a given point to draw a straight lino 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 = BC. Join AB, Post. 1 and...