 | Euclid, Isaac Todhunter - 1883 - 428 páginas
...therefore AB is parallel to CD. [I. 27. "Wherefore, straight lines &c. QED 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 EC the given straight line : it is required to draw a straight line through the point A parallel... | |
 | Joseph Hughes - 1883 - 568 páginas
...words may be used.] _ I. Define rhombus, rhomboid, trapezium, parallel, straight lines, parallelogram. To draw a straight line through a given point parallel to a given straight line. A Rhombus is a four-sided figure having all its sides equal, but its angles are not right angles. A... | |
 | Mathematical association - 1883 - 86 páginas
...PROB. 5, At a given point in a given straight line to make an angle equal to a given angle. PROB. 6. To draw a straight line through a given point parallel to a given straight line. PROB. 7. To construct a triangle having its sides equal to three given straight lines, any two of which... | |
 | Charles Smith - 1883 - 452 páginas
...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... | |
 | Stewart W. and co - 1884 - 272 páginas
...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 the point A, parallel... | |
 | Euclides - 1884 - 214 páginas
...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 páginas
...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... | |
 | 1885 - 630 páginas
...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 - 604 páginas
...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 páginas
...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. 
