Marks' first lessons in geometry: In two parts. Objectively presented, and designed for the use of primary classes in grammar schools, academies, etc.Marks, Bernhard
Science
Marks' first lessons in geometry: In two parts. Objectively presented, and designed for the use of primary classes in grammar schools, academies, etc.
Marks, Bernhard
Geometry -- Study and teaching
NOTE C.—If the pupils are old enough, they may be shown that
vertical lines cannot be parallel, but only seem so on account of
their shortness and nearness to each other.
* * * * *
NOTE D.—This definition may be considered objectionable because
_rhomboid_ means like a rhomb. That the more general figure, the
rhomboid, has been named from the more restricted one, the rhomb, is
unfortunate, because it interferes with the symmetry of the
nomenclature. The rhomb possesses all the properties of the
rhomboid, and should, therefore, when these are considered, be
called by the same name; its additional property entitles it to a
name which should comprehend the other names. If the rectangle had
been called a squaroid, the difficulty would have been repeated.
* * * * *
NOTE E.—If teachers consider it desirable, they may require the
class to prove, by way of corollary, such propositions as assert the
parallelism of the lines when the interior alternate angles are
equal, when the opposite exterior and interior angles are equal,
&c., in continuation of what has already been done.
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