 Through a given point to draw a straight line which shall make equal angles with two straight lines given in position. Let P be the given point, and BE, CF the lines given in position. Produce BE, CF to meet in A, and bisect the angle BAG by the line...  Elementary geometrical drawing - Page 52by Samuel H. Winter - 1872Full view - About this book
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...AD, DE, that is, to BD, DE, and is therefore greater than BE, (Eucl. i. 20.) ; therefore, &c. (3.) Through a given point to draw a straight line which shall make equal angles with two straight lines given in position. Let P be the given point, and BE, CF the lines... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...AD, DE, that is, to BD, DE, and is therefore greater than BE, (Eucl. i. 2O.) ; therefore, &c. (3.) Through a given point to draw a straight line which shall make equal angles with two straight lines given in position. Let P be the given point, and BE, CF the lines... | |
 | Alfred Wrigley - 1845 - 222 pages
...parallelogram, whose diagonals intersect at right angles, is equilateral. (Euclid, i. 4. Cape, i. 6.) 22. Through a given point to draw a straight line which shall make equal angles with two given straight lines. (Euclid, i. 10, 12. Cape, prob, 1, 3.) 23. The area of... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...perpendicular from the point of intersection of these lines upon the third side will bisect that side. 1 1 . Through a given point to draw a straight line which shall make equal angles with two given straight lines. 12. A perpendicular to the base of an isos-celes triangle... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...ED has been shown to be equal to AE, and FD to FB, therefore AE, EF, FBare equal to one another. 3. Through a given point to draw a straight line which shall make equal angles with two straight lines given in position. Let P be the given point, and BE and CF the... | |
 | James Hann - Conic sections - 1850 - 146 pages
...1 this result is positive or negative, according as the point B is above or below the origin. (20.) Through a given point to draw a straight line which shall make a given angle with a given straight line. Let the given line be represented by the equation y -=mx + h, then, because... | |
 | Euclides - 1855 - 270 pages
...base, it bisects the angle ; and in either case, it cuts the base at right angles. Exercise 2. — Through a given point to draw a straight line which shall make equal angles with two straight lines given in position. PROP. XXVII. THEOREM. If a straight line falling... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...rectangular. 21. The parallelogram, whose diagonals intersect at right angles, is equilateral. 22. Through a given point to draw a straight line which shall make equal angles with two given straight lines. 23. The area of a rhombus equals half the rectangle contained... | |
 | Richard Wormell - 1876 - 268 pages
...ЛNMD=.i.MDA; consequently, since these are alternate angles, MN and AB are parallel. PROBLEMS FOR EXERCISE. 1. Through a given point to draw a straight line which shall make a given angle with a given straight line. 2. Find a point in a line which shall be equidistant from two given points.... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...equiangular. Therefore EF is equal to ED and DF, or to their equals, AE and FB. Hence AB is trisected. 2. Through, a given point to draw a straight line which shall make equal angles with two straight lines given in position. Let E be the given point, and AB and CD the... | |
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