The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises . 36 EUCLIDS ELEMENTS. Corollary 1. All the interior angles of any recti-lineal figure, together with four right angles, are equal totwice as many right angles as the figure has side.«. For any rectilineal figure ABCDE can be divided intoas many triangles as the figure has sides, by dniwingstraight* lines from a point F within the figure to each ofits angles. And by the preceding proposition,all the angles of these triangles areequ
The elements of Euclid for the use of schools and colleges : comprising the first two books and portions of the eleventh and twelfth books; with notes and exercises . 36 EUCLIDS ELEMENTS. Corollary 1. All the interior angles of any recti-lineal figure, together with four right angles, are equal totwice as many right angles as the figure has side.«. For any rectilineal figure ABCDE can be divided intoas many triangles as the figure has sides, by dniwingstraight* lines from a point F within the figure to each ofits angles. And by the preceding proposition,all the angles of these triangles areequal to twice as many right anglesas there are triangles, that is, as thefigure has sides. And the same angles are equal to theinterior angles of the figure, togetherwith the angles at the point F. whichis the common vertex of the triangles, that is, together with four right angles. [I. 15. Corollary all the interior angles of the figure, together witiifour right angles, are equal to twice as many right anglesas the figure has sides. Corollary 2, All the exterior angles of any recti-lineal figure are together equal tofmr right angles. Because every
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