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Elements of geometry and trigonometry (1886)

Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 143

An illustration from Elements of geometry and trigonometry, 1886, leaf 143
incide, and consequently they are equal D KS \ \ T \ THEOREM XI. Two rectangular parallelopipedons, which have the same base, areto each other as their altitudes. Let the parallelopipedons AG, AL,have the same base BD, then will theybe to each other as their altitudes AEA I. Suppose the altitudes… … BOOK VI 143 Of Parallelo pipe dons. parallel to the base. These planeswill cut the solid A G into 15 partialparailelopipedons, all equal to eachOtlicr, because they have equal basesand equal altitudes—equal bases, sinceevery section, IL, made parallel tothe base BD, of a prism, is equalto that base…

Geometry · Plane trigonometry

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