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### Sommario

 INTRODUCTION 1 Definitions i 71 Introductory note 112 THE ELEMENTS 146 Definitions Postulates Common Notions 153 Definitions Postulates Common Notions 159 Introductory note 187
 345 204 VOLUME III 219 Definitions 260 Historical note 365 Definitions 370 lDdenda et Corrigenda 521 373

### Brani popolari

Pagina 322 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Pagina 204 - After remarking that the mathematician positively knows that the sum of the three angles of a triangle is equal to two right angles...
Pagina 259 - If two triangles have two sides of the one equal to two sides of the...
Pagina 188 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Pagina 204 - In any triangle, the sum of the three angles is equal to two right angles, or 180°.
Pagina 162 - A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line.
Pagina 167 - When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called a perpendicular to that on which it stands.
Pagina 257 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Pagina 176 - Parallel straight lines are straight lines which, being in the same plane and being produced indefinitely in both directions, do not meet one another in either direction.
Pagina 235 - Upon the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of' the base, equal to one another, and likewise those which are terminated in the other extremity.