© 2020 - 2023 Mr. Eric
© 2020 - 2023 Mr. Eric
If a parallelogram (ABCD) and a triangle (EBC) be on the same base (BC) and between the same parallels, the parallelogram is double of the triangle.
Equal triangles (ABC, DEF) on equal bases (BC, EF) which form parts of the same right line, and on the same side of the line, are between the same parallels.
Equal triangles (BAC, BDC) on the same base (BC) and on the same side of it are between the same parallels.
Two triangles on the equal bases and between the same parallels are equal.
Triangles (ABC, DBC) on the same base (BC) and between the same parallels (AD, BC) are equal.
Parallelograms (BD, FH) on equal bases (BC, FG) and between then same parallels are equal.
Parallelograms on the same base (BC) and between the same parallels are equal.
The opposite sides (AB, CD,; AC, BD) and the opposite angles (A, D; B, C) of a parallelogram are equal to one another, and either diagonal bisects the parallelogram.
The right lines (AC, BD) which join the adjacent extremities of two equal and parallel right lines (AB, CD) are equal and parallel.
If any side (AB) of a triangle (ABC) be produced (to D), the external angle (CBD) is equal to the sum of the two internal non-adjacent angles (A, C), and the sum of the three internal angles is equal to two right angles.
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