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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 148

An illustration from Elements of geometry and trigonometry, 1835, leaf 148
hree planeangles, which form the solid angle b, namely, ABCzrra^c,ABGz=iabg, and GBC =gbc ; they are also similarly situated :hence the solid angles B and b are equal (Book VI. Prop. XXI.Sch.) ; and therefore the side BG will fall on its equal bg. Itis likewise evident, that by reason of the equal… … But the two upper bases being equal to their correspondinglower bases, are equal to each other : hence HI will coincidewith //./, IK with lA-, and KF with kf; and therefore the lateralfaces çf the prisms will coincide : therefore, the two prismscoinciding throughout are equal (Ax. 13.). Cor. Two…

Trigonometry · Geometry

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