 | E. J. Brooksmith - 1889 - 356 sider
...equiangular pentagon include between them a pentagon which is itself equilateral and equiangular. 9. 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, conversely, if two sides, or these produced, be cut proportionally,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...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...a triangle, it shall cut the other sides, or those sides produced proportionally. (2) Conversely :— If two sides of a triangle, or those sides produced,... | |
 | John Fry Heather - 1890 - 252 sider
...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 from the right angle to the base, the... | |
 | Royal Military College, Sandhurst - 1890 - 144 sider
...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... | |
 | Euclid - 1892 - 460 sider
...of a triangle, it shall cut the other sides, or those sides produced, proportionally : Conversely, if the sides or the sides produced be cut proportionally,...be parallel to the remaining side of the triangle. AA _Y X_ BCBC Let XY be drawn par1 to BC, one of the sides of the A ABC: then shall BX : XA : : CY... | |
 | 1894 - 788 sider
...of a triangle it shall cut the other sides, or those sides produced, proportionally; and conversely, if the sides or the sides produced be cut proportionally,...be parallel to the remaining side of the triangle. If any two straight lines are cut by three parallel straight lines they are cut proportionally. 3.... | |
 | 1896 - 774 sider
...shall cut the other sides, or those sides produced proportionally, and conversely, if the sides or sides produced be cut proportionally the straight...be parallel to the remaining side' of the triangle. ABC is a triangle, and D is the middle point of BC. If BE, CF intersect on the line AD and meet AC,... | |
 | Great Britain. Civil Service Commission - 1896 - 112 sider
...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 sider
...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 sider
...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 those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section... 
