 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.  Observational Geometry - Page 49by William Taylor Campbell - 1899 - 240 pagesFull view - About this book
 | Mathematical association - 1884 - 146 pages
...is 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... | |
 | 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... | |
 | 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 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... | |
 | 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... | |
 | 1885 - 608 pages
...tfteorem, corollary. 2. Prove that any two bides of a triangle are together greater than the third side. 3: Draw a straight line through a given point, parallel to a given straight line. 4. Show that the sum of the interior angles of any rectilineal figure together witli four right angles,... | |
 | 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... | |
 | Canada. Department of the Interior - 1888 - 756 pages
...lines, make the alternate angles equal to each other, these two straight lines shall be parallel. 4. Draw a straight line through a given point parallel to a given straight line. 5. Show that if a straight line be divided into any two parts, the rectangles contained by the whole... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...members of a certain set which pass through the given point. (See Ex. 44. ) PROPOSITION 31. PROBLEM. 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 st. line; it is required to draw through A a st. line ||... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...angles. 30. Straight lines which are parallel to the same straight line are parallel to one another. 31. To draw a straight line through a given point parallel to a given straight line. 32. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite... | |
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