 | Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 202 σελίδες
...Also prove that, if AC, BD intersect at O, A OCD is isosceles. Ex. 34. Two triangles ABC, DCB stand on the same base BC and on the same side of it ; prove that AD is parallel to BC if AB = DC and AC = DB. Ex. 35. The triangles ABC and A'BC are on... | |
 | William Weller Strader, Lawrence D. Rhoads - 1927 - 434 σελίδες
...bisects two of its angles, it ie perpendicular to the other diagonal. 3. Triangles ABC and DBC are on the same base BC and on the same side of it. AB = DC, AC = DB, and AC intersects DB at 0. Prove A BOC is isosceles; prove AD \\ BC. 4. If through... | |
 | Great Britain. Scottish Education Dept - 1896 - 642 σελίδες
...sides, what conclusion is to be drawn respecting the other angles ? 2. Equal triangles on the same base and on the same side of it are between the same parallels. ABC is a fixed triangle; find the locus of a point P which moves so that the sum of the triangles PAB,... | |
 | 228 σελίδες
...10. Five rods in the same plane are smoothly jointed together in the form of two triangles ABC, DBG on the same base BC, and on the same side of it, AD being parallel to BG. The middle points of AC and BD are joined by a string at tension T. Shew that... | |
 | 1870 - 964 σελίδες
...to make a rectilineal angle equal to a given rectilineal angle. 2. Equal triangles on the same base and on the same side of it, are between the same parallels. 3. Define a square. To describe a square that shall be equal to a given rectilineal figure. 4. To bisect... | |
 | Thomas Hadyn Ward Hill - 190 σελίδες
...P, Q, R respectively. Show that the triangle PQR is also equilateral. 15. ABC, DBC are two triangles on the same base BC and on the same side of it, and A = D, ABC = DCB. Prove that the straight line joining the point of intersection of AC and BD to... | |
 | 1917 - 1134 σελίδες
...the triangles are congruent (ie, equal in all respects).6. ABC and DBC are two isosceles triaiigles on the same base BC and on the same side of it. Prove that AD produced bisects BC at right angles. 7. Prove that any two sides of a triangle are together... | |
 | Euclid - 454 σελίδες
...base and on the same side are also in the same parallels. Let ABC, DBC be equal triangles which are on the same base BC and on the same side of it ; S [I say that they are also in the same parallels.] And [For] let AD be joined ; I say that AD is... | |
 | 480 σελίδες
...Also prove that, if AC, BD intersect at O, A OCD is isosceles. Ex. 34. Two triangles ABC, DCB stand on the same base BC and on the same side of it; prove that AD is parallel to BC if AB — . DC and AC = DB. Ex. 36. The triangles ABC and A'BC are... | |
 | 268 σελίδες
...LABD= LACD; .: L OQS= L ORP. .: a Q will go round PQRS. 278, 65. Any number of triangles are described on the same base BC, and on the same side of it having their vertical angles equal, and perpendiculars, intersecting at D, are drawn from Ji and C... | |
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Equal triangles on the same base, and on the same side of it, are between the same parallels. 
