... Parallelopipeds , which have equal altitudes , are to one another as their bases ; and parallelopipeds , tohich have equal bases , are to one another as their altitudes ; also , any two parallelopipeds are to one another in the ratio ...

... Parallelopipeds , which have equal altitudes , are to one another as their bases ; and parallelopipeds , which have equal bases , are to one another as their altitudes ; also , any two parallelopipeds are to one another in the ratio ...

Euclides Robert Wallace. PROP . XXXII . THEOREM . Parallelopipeds which have the same altitude are to one another as their bases . Let AB and CD be parallelopipeds of the same altitude . They are to one another as their bases ; that is ...

... parallelopipeds AF , AG are to one another as their altitudes A D , Ad , and the parallelopipeds AG , A e are to one another as their altitudes AC , Ac . But the parallelopiped A E has to the parallelopiped Ae the ratio which is ...

Geometry. the parallelopipeds are to one another in the ratio parallelopiped , which has an equal base polygonal ... parallelopipeds A F , AG are to one another as their altitudes AD , Ad , and the parallelopipeds AG , A e are to ...

... parallelopiped be erected , of the same altitude with those upon AC , CF , and let it be cut by planes | its sides , and touching the lines DCE , GCB ; these planes divide the whole parallelopiped into four other parallelopipeds , upon ...

... parallelopipeds A F , A G are to one another as their altitudes A D , Ad , and the parallelopipeds AG , A e are to one another as their altitudes A C , A c . But the parallelopiped A E has to the parallelopiped Ae the ratio which is ...

... parallelopipeds A F , A G are to one another as their altitudes A D , Ad , and the parallelopipeds AG , A e are to one another as their altitudes AC , Ac . But the parallelopiped A E has to the parallelopiped Ae the ratio which is ...

... Parallelopiped AOMD : DPLS :: NM : ML And , the Parallelopiped VMYZ : DPLS :: XM : MP ; Now , the Parallelopipeds AOMD and V MY Z hav- ing an equal Ratio to DPLS ; are therefore equal ; Ax.5 · 5 · But , the Parallelopiped HMKG is equal ...

... parallelopiped AG will be to the parallelopiped AL as the number m to the number n , that is , as AE the altitude of the former to AL the altitude of the latter . THEOREM IX . - Two rectangular parallelopipeds AG , AK , which have the ...