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Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes (1881)

Smith, J. Hamblin (James Hamblin), 1829-1901, Kirkland, Thomas, 1835-1898 · Toronto : W.J. Gage · leaf 23

An illustration from Elements of geometry : containing books I to VI and portions of books XI and XII of Euclid, with exercises and notes, 1881, leaf 23
at em-ployed by Euclid, and with the further advantage of bringingthem into closer connexion with Case 1. We shall thereforegive three Propositions, which we designate A, B, and C, inthe Place of Euclids Props, v. vi. vii. viii. The displaced Propositions will be found on pp. 108-112. Proposition A… … In the isosceles triangle ABC, let AC=AB. (Fig. 1.) TJien must i ABC= z ACB. Imagine the A ABC to be taken up, turned round, and setdown again in a reversed position as in Fig. 2, and designatethe angular points A, B, C. Then in AsJ^C, ACB, V AB=AC, and AC=-AB, and z BAC^ l CAB, .. L ABC=^ L ACB\…

Geometry · Geometry, Plane

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