Mr. Eric
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© 2020 - 2023 Mr. Eric
© 2020 - 2023 Mr. Eric
If two triangles (ABC, DEF) have two sides (AB, AC) of one respectively equal to two sides (DE, DF) of the other, but the base (BC) of one greater than the base (EF) of the other, the angle (A) contained by the sides of that which has the greater base is greater them the angle (D) contained by the sides of the other.
If two triangles (ABC, DEF) have two sides (AB, AC) of one respectively equal to two sides (DE, DF) of the other, but the contained angle (BAC) of one greater than the contained angle (EDF) of the other, the base of that which has the greater angle is greater than the base of the other.
At a given point (A) in a given right line (AB) to make an angle equal to a given rectilineal angle (DEF)
To construct a triangle which three sides shall be respectively equal to three given lines (A, B, C), the sum of every two of which is greater than the third.
If two lines (BD, CD) be drawn to a point (D) within a triangle from the extremities of its base (BD), their sum is less than the sum of the remaining sides (BA, CA), but they contain a greater angle.
The sum of any two sides (BA, AC) of a triangle (ABC) is greater than the third.
If one angle (B) of a triangle (ABC) be greater than another angle (C), the side (AC) which it opposite to the greater angle is greater than the side (AB) which is opposite to the less.
If in any triangle (ABC) one side (AC) be greater than another (AB), the angle opposite to the greater side is greater than the angle opposite to the less.
Any two angles (B, C) of a triangle (ABC) are together less than two right angles.
If any side (BC) of a triangle (ABC) be produced, the exterior angle (ACD) is greater than either of the interior non-adjacent angles.
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