| Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...line joining their vertices bisects the base at right angles. Ex. 841. 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. 842. In the diagonal AC of a parallelogram... | |
| Euclid - Euclid's Elements - 1904 - 456 pages
...and on the same side of it. are between the same parallels. Let the triangles ABC, DBC which stand **on the same base BC, and on the same side of it** be equal in area. Then shall the triangles ABC, DBC be between the same parallels; that is, if AD be... | |
| Cora Lenore Williams - Geometry - 1905 - 42 pages
...altitudes. Theor. N. Equal triangles on the same base, or on equal bases in the same straight line, **and on the same side of it, are between the same parallels.** Prop. 88. A trapezoid is equal to a rectangle whose base is half the sum of the two parallel sides,... | |
| Saskatchewan. Department of Education - Education - 1906
...triangle be bisected the bisector is parallel to the base. 3 (a) Equal triangles on the same base, **and on the same side of -it, are between the same parallels.** — I. 39. (6) In what sense are these triangles equal ? (c) Prove that the straight line joining the... | |
| Euclid - Mathematics, Greek - 1908
...base and on the same side are also in the same parallels. Let ABC, DEC 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... | |
| Walter Percy Workman - Geometry - 1908
...equal in area (Euc. /. 38) 188 Ar.Sc. — Equal triangles on equal bases in the same straight line, **and on the same side of it, are between the same parallels** (Euc. I. 40) 188 Loci. L.6. — The locus of the vertex of a triangle of given area and standing upon... | |
| Henry Sinclair Hall - 1908
...an arc of a circle, of which the given base is the chord. Let BAC, BDC be two equal angles standing **on the same base BC, and on the same side of it.** It is required to prove that A and D lie on an arc of a circle having BC as its chord. Let ABC be the... | |
| Great Britain. Scottish Education Dept - 1896
...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,... | |
| ...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
...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... | |
| |