Geometry : the elements of Euclid and Legendre simplified and arranged to exclude from geomtrical reasoning the reductio ad absurdum : with the elements of plane and spherical trigonometry, and exercises in elementary geometry and trigonometry / /c By Lawrence S. Benson (1868)
Benson, Lawrence S. (Lawrence Sluter), Legendre, A. M. (Adrien Marie), 1752-1833 · New York : Pub. for the author by Davies & Kent · leaf 46
ning the right angle, are together equiva-lent to the square on the liypotlieniise—that is, the side oppositethe right angle. Let ABC be a rio-ht-anoledtriangle, having the right angleBAC; the square described ontlie hypothenuse BC is equiva-lent to the sum of the squareson BA and AC. On BC, BA,Q… … BOOK I.] EUCLID AND LEGENDEE. 43 straight lines CA and AE are in the same straight line (I, 10).For like reason, BA and AF are in the same straight line.Again : because the angle IIBC is equal to the angle DBA (I,ax. 1), if the angle ABC be added to each, we have (I. ax. 2)HBA equal to DBC ; and…
Geometry · Trigonometry
Internet Archive · California Digital Library · Public Domain Mark 1.0. Free to use for anything.
