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Trigonometria (1658)

Newton, J. · leaf 80

An illustration from Trigonometria, 1658, leaf 80
Which is in effect thefame with the former. PROPOS ITION. II. In all obliqttangled Spherical triangles, the fumme ofwhofe angles at the bafe , are lelfe then a femi-cir-cle, As the fine of the fumme of the angles at the bafe, is to the fine oft heir difference ; So is the tangentof halfthe bafey to… … •,r are acute,and A C B obwfe,!et the fide A C be eqal to A E, and from the angle at A let fall theperpendicular A D, then are the triangles A C D. and A D E equilateral, and cqiti-angled,and C D equal to D E, and in the triangle A B E,the bafe is B E, and B D, and D E, the fummeof the fegments,…

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