| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...join AE, BD intersecting at P; shew that the angle APJB is constant. 520. If any number of triangles **on the same base BC, and on the same side of it** have their vertical angles equal, and perpendiculars, intersecting at D, be drawn from B and C on the... | |
| Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...Wherefore, Triangles on equal bases, 'Ssc. QED PROP. XXXIX. THEOREM. Equal triangles on the same base, **and on the same side of it are between the same parallels.** Let ABC and DBC be equal triangles, on the same base BC and on the same (viz. the upper) side of it.... | |
| 1880
...(1) Euclid, i, page 214. Let ABC be an isosceles triangle, and let DBC be any other equal triangle **on the same base BC, and on the same side of it.** Join AD (draw figure so that D is to the right of A). From B draw BE perpendicular to AD produced ;... | |
| John Gibson - 1881
...Triangles on the same base and between the same parallels are equal. 4. Equal triangles on the same base **and on the same side of it are between the same parallels.** 5. Prove that the diagonals of a parallelogram bisect each other. 6. Bisect a given triangle by a straight... | |
| Education, Higher - 1883
...rectilineal figure said to be inscribed in another rectilineal figure ? 9. Equal triangles on the same base, **and on the same side of it are between the same parallels.** 10. Describe a square that shall be equal to a given rectilineal figure. 12. One circle cannot touch... | |
| Marianne Nops - 1882
...same base and on the same side of it a re between the same parallels. Let the equal As ABC, DBC be **on the same base BC and on the same side of it.** They shall be between the same parallels. AD shall be || to CD. If not, through A draw AE || to BC,... | |
| College of preceptors - 1882
...proposition in the course of the proof of which reference is made to it. 3. Equal triangles on the same base, **and on the same side of it, are between the same parallels.** Prove that diameters (produced, if necessary) of any pair of parallelograms about the diameter of a... | |
| Great Britain. Education Department. Department of Science and Art - 1882
...two sides of the quadrilateral are parallel to each other. (10.) 10. Equal triangles on the same base **and on the same side of it are between the same parallels.** If a quadrilateral is divided into four equal triangles by its diagonals show that it is a parallelogram.... | |
| 1886
...two sides of a triangle are together greater than the third side. 4. Equal triangles on the same base **and on the same side of it, are between the same parallels.** 5. If a straight line be divided into two equal, and also into two unequal parts, the squares on the... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...join AE, BD intersecting at P; shew that the angle APB is constant. 520. If any number of triangles **on the same base BC, and on the same side of it** have their vertical angles equal, and perpendiculars, intersecting at D, be drawn from B and C7on the... | |
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