 | Woolwich roy. military acad - 1884 - 148 pàgines
...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 lines drawn from two angular points of... | |
 | 1884 - 536 pàgines
...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 - 1887 - 202 pàgines
...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. 81. Two... | |
 | E. J. Brooksmith - 1889 - 356 pàgines
...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 lines drawn from two angular points of... | |
 | John Fry Heather - 1890 - 252 pàgines
...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...the other sides, or these produced, proportionally. (Eu. VI. 2.) dicular be drawn from the right angle to the base, the perpendicular is a mean proportional... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pàgines
...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 :— If two sides of a triangle, or those sides... | |
 | Royal Military College, Sandhurst - 1890 - 144 pàgines
...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 are drawn... | |
 | Great Britain. Civil Service Commission - 1896 - 112 pàgines
...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 parallel... | |
 | Manitoba. Department of Education - 1900 - 558 pàgines
...of the angles at the base double of the third angle. Divide a right angle into five equal parts. 9. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides proportionally, and conversely. The diagonals of a trapezoid cut ont another proportionally. From the... | |
 | Eldred John Brooksmith - 1901 - 368 pàgines
...Prove that BC is equal to the side of a regular pentagon inscribed in the circle ADC. 6. Prove that if a straight line be drawn parallel to one of the sides of a triangle it cuts the other sides or those sides produced proportionally. In the side BC of a triangle ABC take... | |
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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 these produced, proportionally : and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section... 
