Proposition 44: Propose a straight line over which to designate a surface of equidistant sides, whose angle will be equal to an assigned angle but whose surface is equal to an assigned triangle.

(I don’t know why this one gave me such a hard time; brain just felt legit busted here, but I got it eventually ... still, liked my first attempt even though it's wrong & so it’s just part of the art now.)

#EuclideanGeometry

Proposition 43: Of the space of every parallelogram, it is necessary of those that are the supplements of parallelograms around the diameter, to be mutually equal.

#EuclideanGeometry

Proposition 42: To designate a surface of equidistant sides whose angle is equal to an assigned angle but the surface itself is equal to an assigned triangle.

#EuclideanGeometry

Proposition 41: If a parallelogram and a triangle are to be constituted on the same base and too within the same alternate lines, the parallelogram will aptly be double the triangle.

#EuclideanGeometry

Proposition 40: If two equal triangles are on equal bases and both of them are constituted out from the same side of one line, it is necessary they are contained between two equidistant lines.

#EuclideanGeometry

Proposition 39: Of all two equal triangles, if they are to fall upon the same base and from the same side: they will be between two equidistant lines.

#EuclideanGeometry

Proposition 38: If two triangles upon equal bases fall between two equidistant lines, it is necessary that they are to be equal.

#EuclideanGeometry

Proposition 37: All triangles are wholly equal to one another that are upon the same base and are constituted between two equidistant lines.

#EuclideanGeometry

Proposition 36: All parallelograms on equal bases and constituted within the same lines necessarily are to be equal.

#EuclideanGeometry

Proposition 35: All surfaces within equidistant sides that are on one base and constituted within the same alternate lines are proved to be equal:

#EuclideanGeometry

Proposition 34: Every surface contained within equidistant sides has equal lines as well as angles located oppositely, and a diameter that divides it through the middle.

#EuclideanGeometry

Proposition 33: If at the summits of two lines, equidistant and equal in size, two other lines are joined, they themselves will also be equal and equidistant.

#EuclideanGeometry

Proposition 32: Of every triangle, an angle from without is equal to the two angles opposite itself from within. Moreover, it is necessary that all three of its angles are to be equal to two right angles.

#EuclideanGeometry

Proposition 24: Of all two triangles whereof the two sides of one will be equal to the two sides of the other: if it will be of the angles contained within those equal sides that one is greater than the other, then the base of the same will be greater than the base of the other.
#EuclideanGeometry

Proposition 23: Over the end of a given straight line, to designate an angle equal to any proposed angle.
#EuclideanGeometry

Proposition 22: To propose three straight lines, any two of which when joined together are longer than the remaining, constitute a triangle from other lines that are themselves equal to the three.
#EuclideanGeometry

Proposition 21: If two lines exiting from two terminal points of one side of a triangle convene at one point within the triangle itself, then likewise, the two remaining lines of the triangle will indeed be shorter and will contain the greater angle.
#EuclideanGeometry

Proposition 20: Of every triangle, any two sides joined together are longer than the side remaining.
#EuclideanGeometry #omnisTrianguli

and then he’s just like “lol draw a triangle" (but in Latin)

Proposition 19: Of every triangle, the greatest angle is opposite to the longest side.
#EuclideanGeometry #omnisTrianguli

Proposition 18: Of every triangle, the longest side is opposite to the greatest angle.
#EuclideanGeometry #omnisTrianguli