<s xml:space="preserve">
Animadvertendum quod in superioribus investigationibus analogiarum
<lb/>
sive casuum, ubi latera
<math>
<mstyle>
<mi>a</mi>
<mi>d</mi>
</mstyle>
</math>
et
<math>
<mstyle>
<mi>d</mi>
<mi>b</mi>
</mstyle>
</math>
signantur \le \le; debeat etiam
<lb/>
intelligi signata \ge \ge. Quoniam si sint eiusdem affectionis
<lb/>
sive utrique minora quadrantibus, sive maiora; non variatur
<lb/>
inde illatio neque casus.
<lb/>
Hinc in 6 notatis casibus positi trianguli, sunt 9 variationes
<lb/>
signorum ut
<lb/>
[
<emph style="bf">Translation: </emph>
It is to be noted that in the above investigations of ratios, or cases,
where the sides
<math>
<mstyle>
<mi>a</mi>
<mi>b</mi>
</mstyle>
</math>
and
<math>
<mstyle>
<mi>d</mi>
<mi>b</mi>
</mstyle>
</math>
are marked with \le, \le, respectively, it is also to be understood that they could be marked with \ge, \ge, respectively. Because they have the same relationship, whether both less than a quadrant, or greater; therefore the result does not vary, nor the cases.
<lb/>
Here in the 6 denoted cases of the supposed triangle, there are 9 ]</s>
</p>
<p xml:lang="lat">
<s xml:space="preserve">
Sunt præter illas novem, tres aliæ variationes; et non dantur
<lb/>
plures: sed istæ sunt impossibiles
<lb/>
[
<emph style="bf">Translation: </emph>
Besides those nine, there are three other variations; more are not given, but these are ]</s>
</p>
<p xml:lang="lat">
<s xml:space="preserve">
Una
<emph style="super">et ultima</emph>
impossibilium probatur per Clavium pro: 27 de Sphæricis.
<lb/>
et a me magis perspicus in notis de conversione triangulorum:
<lb/>
reliquæ duæ conseqununtur per
<lb/>
[
<emph style="bf">Translation: </emph>
One, the final impossibility, is proved by Clavus in Proposition 27 of De sphærica;
and by me more clearly in notation in the conversion of triangles; the remaining two follow by paraplerosis.</s>
</p>
<p xml:lang="lat">
<s xml:space="preserve">
Alia designatio analogiarum et casuum,
<lb/>
usui magi
<lb/>
[
<emph style="bf">Translation: </emph>
Another specification of ratios and cases, more convenient in ]</s>
