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 DB C. 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 DB C. 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 BC , 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 BC , 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 B ̊C , the same multiple is the triangle AHC of the triangle ABC . 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 B ̊C , the same multiple is the triangle AHC of the triangle ABC . 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 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