 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
 | Euclides - 1848 - 52 pages
...lines which are parallel to the same straight line are parallel to each other. PROP. XXXI. PROBLEM. To draw a straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...angles; therefore AB is parallel (i. 27.) to CD. "Wherefore straight lines, &c. QED PROP. XXXI. PROB. 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 A... | |
 | Great Britain. Committee on Education - School buildings - 1850 - 790 pages
...Section 2. 1. Show that any two angles of a triangle are together less than two right angles. •2. Draw a straight line through a given point parallel to a given straight line. 3. Show that in any risht-angled triangle, the square which is described upon the side subtending the... | |
 | 1867 - 336 pages
...the other equal sides shall be parallel to one another, or be inclined at equal angles. 2. Shew how to draw a straight line through a given point, parallel to a given straight line. Determine the locus of the vertices of all equal triangles ou the same base and on the same lide of... | |
 | Euclides - 1852 - 152 pages
...therefore AB is parallel b to CD. "Wherefore straight lines, &c. QED ,F D BOOK I. PROP. XXXI. PROB. 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... | |
 | Euclides - Geometry - 1853 - 334 pages
...another: therefore AB is parallel (i. 27) to CD. Which was to be proved. /KH A. r / 0 D PEOP. XXXI. PEOB. 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 through A a straight... | |
 | Euclides - 1853 - 146 pages
...therefore (I. 27.) 4. AB is parallel to CD. Wherefore straight lines, &c. QED PROP. XXXI. 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 straight line ; it is required to draw a straight line through... | |
 | Euclides - Geometry - 1853 - 176 pages
...therefore ab is parallel (i. 27) to Сd; / Wherefore, straight lines, &c. QED PROPOSITION XXXI.— PROBLEM. To draw a straight line through a given point parallel to a given straight line. LET a be the given point, and b С the given straight line ; it is required to draw a straight liae... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...therefore AB is parallel (27. i.) to CD. Wherefore, straight lines, etc. QED PROPOSITION XXXI. PROS. 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... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...direction. The shortest distance is always found in the direction perpendicular to the parallels. To irme л straight line through a given point parallel to a given straight line. Let A be the given point, and В ~, _.--\ С ПС the given i ,.---'' line. From the \ ^,--'' point... | |
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