Posts tagged 'similar-rectilineal-figures'
G.217 similar rectilineal figures
Similar polygons are such as have their:term:angles <G.22> severally equal and the sides about the equal angles:term:proportional <G.180>.
G.231 similar triangles duplicate
Similar triangles are to one another in the duplicate ratio of the corresponding sides.
G.232 similar polygons divided
Similar polygons are divided into similar triangles, and into triangles equal in multitude and in the same ratio as the wholes, and the polygon has to the polygon a ratio duplicate of that which the corresponding side has to the corresponding side.
G.234 segments proportional polygons
If four segments be proportional, the polygons similar and similarly described upon them is proportional; and, if the polygons similar and similarly described upon them be proportional, the segments will themselves also be proportional.
G.244 right angled triangles
In right-angled triangles the figure on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle.
G.377 magnitudes ratio number
If two magnitudes have to one another the ratio which a number has to a number, the magnitudes is commensurable.
G.543 similar parallelepipedal solids
Similar parallelepipedal solids are to one another in the triplicate ratio of their corresponding sides.
G.547 segments proportional parallelepipedal
If four segments be proportional, the parallelepipedal solids on them which are similar and similarly described is proportional; and, if the parallelepipedal solids on them which are similar and similarly described be proportional, the segments will themselves also be proportional.
G.551 similar polygons inscribed
Similar polygons inscribed in circles are to one another as the squares on the diameters.
G.559 similar pyramids triangular
Similar pyramids which have triangular bases are in the triplicate ratio of their corresponding sides.