...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...

...on the same or equal bases are of the same altitude. COR. 2. Equivalent triangles on the same base and on the same side of it are between the same parallels. Ex. 742. What is the converse of the above Theorem? P i .E>.. 743. D, E are the mid-points of the sides...

...Prop. 3). (iii) Equivalent 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 (Chap. Ill, Prop. 5). It should be noticed that these are not independent tests, for the second and...

...on the same or equal bases are of the same altitude. COR. 2. Equivalent triangles on the same base and on the same side of it are between the same parallels. Ex. 983. What k the converse of the above Theorem? P t Ex. 094. DE are the mid-points of the sides...

...on the same or equal bases are of the same altitude 54 COR. 2. Equivalent triangles on the same base and on the same side of it are between the same parallels .... 64 COR. 3. The locus of the vertices of equivalent triangles on the same base and on the same...

...be produced to D, the angle CBD is greater than the angle CAB. 3. Equal triangles on the same base and on the same side of it are between the same parallels. 4. The square described on the side subtending the right angle of a right-angled triangle is equal...

...show that the |[m CDXY is equivalent to the A ABC. 57. PROP. 5. Equivalent triangles on the same base and on the same side of it are between the same parallels. Let ABC, ABD be two equivalent triangles on the same base AB and on the same side of it; to prove that...

...on the same or equal bases are of the same altitude. COR. 2. Equivalent triangles on the same base and on the same side of it are between the same parallels. AREA OF TRIANGLE Ex. 742. What is the converse of the above Theorem? iEx. 743. D, E are the mid-points...

...other sides of the triangle, but will contain a greater angle. 4. (a.) Equal triangles on the same base and on the same side of it are between the same parallels. (b.) All the exterior angles of any rectilineal figure are together equal to four right angles. 5....