 | University of Sydney - 1902 - 640 σελίδες
...side, &c. Complete this enunciation, and prove the proposition. 3. Equal triangles on the same base and on the same side of it are between the same parallels. 4. Straight lines are drawn to bisect the angles at the base BC of an isosceles triangle ABC and to... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 σελίδες
...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 - 1904 - 488 σελίδες
...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 - 1905 - 50 σελίδες
...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 - 1906 - 188 σελίδες
...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 - 1908 - 550 σελίδες
...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 - 1908 - 228 σελίδες
...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 - 286 σελίδες
...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... | |
 | Newfoundland Council of Higher Education - 1911 - 250 σελίδες
...polygon of thirteen sides. (9) B 4. Prove that equal triangles on equal bases, in the same straight line and on the same side of it, are between the same parallels. Two equal triangles stand on the same base and on opposite sides of it. Prove that the base bisects... | |
 | Newfoundland Council of Higher Education - 1917 - 184 σελίδες
...those angles proportional, then the triangles are similar. A CB, DB C are two right-angled triangles on the same base BC and on the same side of it, whose hypotenuses AB, CD intersect at E, and from E, EF is drawn perpendicular to CB. Prove that, if... | |
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Equal triangles on the same base, and on the same side of it, are between the same parallels. 
