The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Side 17
... base BC fhall coincide with the bafe EF , and be equal to it . Wherefore the whole triangle ABC fhall coincide with ... base of an Ifofceles triangle are equal to one another ; and , if the equal fides be produced , the angles upon the ...
... base BC fhall coincide with the bafe EF , and be equal to it . Wherefore the whole triangle ABC fhall coincide with ... base of an Ifofceles triangle are equal to one another ; and , if the equal fides be produced , the angles upon the ...
Side 18
... base FC is e- b 4. 1 qual b to the bafe GB , and the tri- angle AFC to the triangle AGB ; and the remaining angles of the one are equal b to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz ...
... base FC is e- b 4. 1 qual b to the bafe GB , and the tri- angle AFC to the triangle AGB ; and the remaining angles of the one are equal b to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz ...
Side 19
... base DC is equal to the base AB , and the triangle DBC is equal to the triangle b ACB , the less to the great- B er ; which is abfurd . Therefore AB is not unequal to AC , that is , it is equal to it . Wherefore , if two angles , & c ...
... base DC is equal to the base AB , and the triangle DBC is equal to the triangle b ACB , the less to the great- B er ; which is abfurd . Therefore AB is not unequal to AC , that is , it is equal to it . Wherefore , if two angles , & c ...
Side 20
... base CD are a 5. i . equal a to one another , but the angle ECD is greater , than the angle BCD ; wherefore the angle FDC is likewife greater than BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is ...
... base CD are a 5. i . equal a to one another , but the angle ECD is greater , than the angle BCD ; wherefore the angle FDC is likewife greater than BCD ; much more then is the angle BDC greater than the angle BCD . Again , because CB is ...
Side 21
... base EF , and upon the fame fide of it , there can be two triangles that have their fides which are terminated in one extremity of the base equal to one another , and likewise their fides terminated in the other extremity : But this is ...
... base EF , and upon the fame fide of it , there can be two triangles that have their fides which are terminated in one extremity of the base equal to one another , and likewise their fides terminated in the other extremity : But this is ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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