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 70
... whole angle BAD is equal ( I. Ax . 2 ) to the whole angle BED . Wherefore the angles in the same segment , & c . Q. E. D. B Corollary . - The vertices of any number of equal angles , whose legs all pass through the same two points , and ...
... whole angle BAD is equal ( I. Ax . 2 ) to the whole angle BED . Wherefore the angles in the same segment , & c . Q. E. D. B Corollary . - The vertices of any number of equal angles , whose legs all pass through the same two points , and ...
Seite 138
... whole angle A G H is equal to the whole angle CFE ( I. Ax . 2 ) . For the same reason , the whole angle A B H is equal to the whole angle CDE . Also the angle B A G is equal to the angle D C F ( Const . ) , and the angle GHB to the ...
... whole angle A G H is equal to the whole angle CFE ( I. Ax . 2 ) . For the same reason , the whole angle A B H is equal to the whole angle CDE . Also the angle B A G is equal to the angle D C F ( Const . ) , and the angle GHB to the ...
Seite 194
... whole pyramid ; and into two equal prisms which are together greater than half of the whole pyramid . Q. É . D. Corollary . - A section of a triangular pyramid parallel to its base is similar to the base , and conversely . PROP . IV ...
... whole pyramid ; and into two equal prisms which are together greater than half of the whole pyramid . Q. É . D. Corollary . - A section of a triangular pyramid parallel to its base is similar to the base , and conversely . PROP . IV ...
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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 angle B A C 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 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