The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth of EuclidCassell, Petter, and Galpin, 1859 - 212 Seiten |
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Seite 32
... diagonal A B bisects it . Also , the triangle DBC is half of the parallelogram B F , because the diagonal DC bisects it . But the halves of equal things are equal ( Ax . 7 ) . Therefore the triangle A B C is equal to the triangle DB C ...
... diagonal A B bisects it . Also , the triangle DBC is half of the parallelogram B F , because the diagonal DC bisects it . But the halves of equal things are equal ( Ax . 7 ) . Therefore the triangle A B C is equal to the triangle DB C ...
Seite 35
... diagonal of any parallelogram , are equal . Let BD be a parallelogram , of which the diagonal is AC ; and EH , GF the parallelograms about A C , that is , through which A C passes . Then BK , K D are the other parallelograms which make ...
... diagonal of any parallelogram , are equal . Let BD be a parallelogram , of which the diagonal is AC ; and EH , GF the parallelograms about A C , that is , through which A C passes . Then BK , K D are the other parallelograms which make ...
Seite 145
... diagonal . For , if not , let , if possible , the parallelogram BD have its diagonal A LC in a different straight line from AF , the diagonal of the parallelogram EG . Let G F meet ALC in L. Through L draw LK parallel to A D or B C ...
... diagonal . For , if not , let , if possible , the parallelogram BD have its diagonal A LC in a different straight line from AF , the diagonal of the parallelogram EG . Let G F meet ALC in L. Through L draw LK parallel to A D or B C ...
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Häufige Begriffe und Wortgruppen
A B and CD A B C D A B is equal adjacent angles altitude angle ABC base B C bisected Cassell's centre circle A B C circle ABCD circumference cone cylinder D E F described diagonal diameter draw equal angles equal Ax equal Const equiangular equimultiples Euclid exterior angle given rectilineal given straight line gnomon greater homologous Illustrated inscribed join less Let A B C multiple opposite angles parallelopiped pentagon perpendicular polygon prism proposition pyramid Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment solid A B solid angle sphere squares of AC straight line drawn straight lines A B THEOREM three plane angles touches the circle triangle A B C triplicate ratio twice the rectangle vertex Wherefore