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### Inhalt

 ON TENTS 1 şe 12 About Equal Figures 3539 35 PLANE GEOMETRY 60 SECTION III 70 SECTION IV 78 RELATIVE Positions of CIRCUMFERENCEs 8693 86 SECTION VI 94
 SECTION II 175 Of Polyedrals 185186 185 SECTION IV 199 OF THE SPHERE 209 Spherical Angles 215218 215 Polar or Supplemental Triangles 226228 226 Volume of Spliere 235239 235 AN ADVANCED COURSE IN GEOMETRY 243

 SECTION VII 104 SECTION VIII 121 Of Quadrilaterals 129130 129 OF EQUIVALENCY AND AREAs 138 OF SIMILARITY 144152 144 SECTION XI 153 SOLID GEOMETRY 164
 Applications of Algebra to Geometry 270288 276 CHAPTER II 288 Of Symmetry 296301 296 Of Maxima and Minima and Isopeuimetry 303308 303 SECTION II 20 SECTION III 29 A Bour SIMILAR FIGUREs especially Triangles 3944 39

### Beliebte Passagen

Seite 219 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Seite 111 - If the diagonals of a parallelogram are equal, the figure is a rectangle.
Seite 130 - If two triangles have two sides and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal in all their parts." Axiom 1. "Things which are equal to the same thing, are equal to each other.
Seite 33 - Cut out two such triangles and try it Ex. 6. If you have two triangles with only two sides of one respectively equal to two sides of the other, can you make one fit as a pattern on the other ? Try it. Ex. 7. If you have two triangles with two sides in one equal respectively to two sides in the other, and the included angle in one greater than in the other, how is it with the third sides of the triangles ? 76.
Seite 109 - If the opposite sides of a quadrilateral are equal, the figure is a parallelogram.
Seite 106 - The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles.
Seite 250 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Seite 245 - If from any point there extend two lines tangent to a circumference, the angle contained by the tangents is double the angle contained by the line joining the points of contact and the radius extending to one of them.
Seite 141 - Hence, the area of a trapezoid is equal to the product of its altitude by the line connecting the middle points of the sides which are not parallel.
Seite 81 - In the same or in equal circles, of two unequal chords, the less is at the greater distance from the centre. DEM. — Let CE < AB, then is the perpendicular OD, which measures the distance of CE from the centre, greater than OD' •which measures the distance of AB from the centre.