| Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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...produced, be cut proportionally, the straight '.line** which joint the points of section, shall be parallel to the remaining side of the triangle. Let DE... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...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...produced, be cut proportionally, the straight line** which joint the points of section, shall be parallel to the remaining tide of the triangle. Let DE... | |
| Euclides - 1884 - 434 pages
...Triangles and [r8 are to one another in the ratio compounded of the ratios of their bases and altitudes. **If a straight line be drawn parallel to one side of...shall cut the other sides, or those sides produced*** proport ionally. Conversely : If the sides or the sides produced be cut proportionally, flie straight... | |
| Woolwich roy. military acad - 1884 - 148 pages
...and the triangle A CD will be isosceles. 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.** Prove the following construction for trisecting a line AB in G and H\ On AB as diagonal construct a... | |
| Euclides - 1884 - 182 pages
...isosceles triangle cuts off equal lengths on the sides measured from the vertex of the triangle. 4. **If a straight line be drawn parallel to one side of a** parallelogram through an internal point, it divides the figure into two parallelograms. 5. Two rectilinear... | |
| E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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 a triangle to the middle points of the... | |
| Dalhousie University - 1889 - 220 pages
...the greater circle has been shown to be a tangent to the leas, continue the proof to the end. • 6. **If a straight line be drawn parallel to one side of a triangle** cutting the other two, shew that it cuts them proportionately. (Draw only one figure). 7. Find a mean... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...be proportionals, when taken inversely. 7. 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.** In a triangle ABC, BC is bisected in D, AD is bisected in E, and BE produced to meet AC in F: show... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...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 produced, be cut proportionally, the... | |
| Isaac Hammond Morris - Geometry, Plane - 1890 - 440 pages
...proportion, the product of the end terms, or extremes, equals the product of the middle terms, or means. ' **If a straight line be drawn parallel to one side of a triangle, it** cuts the other two sides, or those produced, proportionally.' (Eue. vi. 2.) PROBLEM 25. — To divide... | |
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