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
... triangle A B C is equal to the triangle DBC . Wherefore , triangles , & c . Q. E. D. Exercise . To describe a triangle equal to any given rectilineal figure . In solving this problem , the learner may begin with a parallelogram ; then ...
... triangle A B C is equal to the triangle DBC . Wherefore , triangles , & c . Q. E. D. Exercise . To describe a triangle equal to any given rectilineal figure . In solving this problem , the learner may begin with a parallelogram ; then ...
Seite 33
... A B C , D B C , be upon the same base B C , and upon the same side of it . The triangles A B C , D B C , are between ... triangle A B C is equal to the triangle E B C ( I. 37 ) , because they are upon the same base B C , and between the ...
... A B C , D B C , be upon the same base B C , and upon the same side of it . The triangles A B C , D B C , are between ... triangle A B C is equal to the triangle E B C ( I. 37 ) , because they are upon the same base B C , and between the ...
Seite 124
... triangles AHG , AGB , and A B C , are all equal ( I. 38 ) . Therefore , whatever multiple the base HC is of the base BC , the same multiple is the triangle AHC of the triangle A B C. For the same reason , whatever multiple the base LC ...
... triangles AHG , AGB , and A B C , are all equal ( I. 38 ) . Therefore , whatever multiple the base HC is of the base BC , the same multiple is the triangle AHC of the triangle A B C. For the same reason , whatever multiple the base LC ...
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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