 | Isaac Sharpless - Geometry - 1882 - 286 pages
...of equal altitude are proportional to their bases. GEOMETRY— BOOK V. Proposition 2. Theorem. — If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides, or those sides produced proportionally ; and if the sides of... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION 2. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally; and if the sides,... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...given circle. Shew that any equilateral figure inscribed in a circle must also be equiangular. 10. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally. Shew that two straight... | |
 | Science - 1884 - 536 pages
...В Q are drawn ; PQ meets the circumferences again at P and S show that AR is parallel to B S. 79. If a straight line be drawn parallel to one of the sides of an equilateral triangle, it will form with the other sides, produced ii necessary, another equilateral... | |
 | Richard Anthony Proctor - Geometry - 1887 - 202 pages
...triangle, it will form with the other sides, produced if necessary, another equilateral triangle. 80. If a straight line be drawn parallel to one of the sides of a triangle, it will form with the other sides, produced if necessary, a triangle equiangular to the first.... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...given circle. Shew that - any equilateral figure inscribed in a circle must also be equiangular. 10. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally. Shew that two straight... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...or without a given AABC, such that AAOB : ABOC : ACOA :: AB : BC : CA. PROPOSITION 2. THEOREM. (1) If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced proportionally. (2) Conversely :—... | |
 | Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...circle are a, /3, and y, what are the angles of the triangle formed by joining the points of contact? 5. If a straight line be drawn parallel to one of the sides of a triangle, prove that it will cut the other sides, or the sides produced, proportionally. Straight lines... | |
 | John Fry Heather - Geometry, Modern - 1890 - 252 pages
...CHAPTER III. ON THE DIVISION OF LINES AND THE CONSTRUCTION OF SCALES. THEOREMS. 103. THEOB. 15. — If a straight line be drawn parallel to one of the sides of a triangle it shall cut the other sides, or these produced, proportionally. (Eu. VI. 2.) dicular be drawn... | |
 | Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...contained by the segments of one of them is equal to the rectangle contained by those of the other. 8. If a straight line be drawn parallel to one of the sides of a triangle, prove that it will cut the other sides, or those sides produced proportionally. AC, BD are... | |
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If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight '.line which joint the points of... 
