An Encyclopædia of Architecture: Historical, Theoretical, & PracticalLongmans, Green, and Company, 1881 - 1395 Seiten |
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Seite 263
... & c . are all equal to AB , and are there- fore equal among themselves . 877. PROP . II . On a given line to describe an equilateral tri- angle . E Fig.234 . Let AB ( fig . 235. ) be the given S4 CHAP . I. 263 GEOMETRY .
... & c . are all equal to AB , and are there- fore equal among themselves . 877. PROP . II . On a given line to describe an equilateral tri- angle . E Fig.234 . Let AB ( fig . 235. ) be the given S4 CHAP . I. 263 GEOMETRY .
Seite 264
... ( Prop . 1. ) are radii of the same circle ACF . Wherefore the lines AC and BC , being each equal to the line AB , are equal to one another , and all the three sides of the triangle ACB are equal ; that is , the triangle is equilateral ...
... ( Prop . 1. ) are radii of the same circle ACF . Wherefore the lines AC and BC , being each equal to the line AB , are equal to one another , and all the three sides of the triangle ACB are equal ; that is , the triangle is equilateral ...
Seite 265
... ( Prop . 3. ) identical , and AC is equal to CB ; that is , AB is bisected . 882. PROP . VII . From a given point out of a right line to draw a perpendicular to that line . Let C ( fig . 241. ) be the point from which it is required to ...
... ( Prop . 3. ) identical , and AC is equal to CB ; that is , AB is bisected . 882. PROP . VII . From a given point out of a right line to draw a perpendicular to that line . Let C ( fig . 241. ) be the point from which it is required to ...
Seite 266
... ( Prop . 10. ) equal to two right angles ; and these two angles are equal , because CD is perpendicular to AB . Wherefore each angle is a right angle . 887. PROP . XII . If two lines cut each other , the vertical or opposite angles are ...
... ( Prop . 10. ) equal to two right angles ; and these two angles are equal , because CD is perpendicular to AB . Wherefore each angle is a right angle . 887. PROP . XII . If two lines cut each other , the vertical or opposite angles are ...
Seite 267
... ( Prop . 5. ) are identical . Wherefore the angle LFG opposite to the side LG is equal to the angle FGM oppo- site to the side FM . M G Fig . 250 . Fig . 251 . Remark . In identical triangles the equal angles are always opposite to equal ...
... ( Prop . 5. ) are identical . Wherefore the angle LFG opposite to the side LG is equal to the angle FGM oppo- site to the side FM . M G Fig . 250 . Fig . 251 . Remark . In identical triangles the equal angles are always opposite to equal ...
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