 | 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... | |
 | 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 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Education - 1885 - 630 pages
...understood abbreviations for words may be used.] Answer two Questions, including No. 3, if you can. 1. To draw a straight line through a given point parallel to a given straight line. Euclid, Book I., Prop. 31. 2. In any right-angled triangle the square which is described upon the side... | |
 | Oxford univ, local exams - 1885 - 358 pages
...line, straight line, boundary, figure, circle ; and write out Euclid's postulate concerning circles. 3. Draw a straight line through a given point parallel to a given straight line. 4. Write out that part of Euclid II. 4, which proves that the parallelograms about the diameter of... | |
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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. 
