# A Treatise on Special Or Elementary Geometry

Sheldon, 1872 - 201 pages
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### Contents

 INTRODUCTION 1 PART I 12 THEOREMS IN SPECIAL OR ELEMENTARY GEOMETRY 243267 19 PROBLEMS IN SPECIAL OR ELEMENTARY GEOMETRY 267276 25 CHAPTER I 60 SECTION III 70 SECTION IV 78 SECTION V 86
 SECTION IX 138 OF SIMILARITY 144152 144 SECTION XI 153 CHAPTER II 164 SECTION II 175 Of Polyedrals 185186 185 SECTION IV 199 SECTION V 209

 SECTION VI 94 SECTION VII 104 SECTION VIII 121 Of Quadrilaterals 129130 129
 Spherical Angles 215218 215 Polar or Supplemental Triangles 226228 226 Volume of Sphere 235239 235

### Popular passages

Page 217 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Page 109 - If the diagonals of a parallelogram are equal, the figure is a rectangle.
Page 72 - Dn the same side of the secant line is equal to two right angles, the two lines are parallel.
Page 33 - ... two, or equal to the difference ? Ex. 5. If you have two triangles with only one side and one angle in the one equal to one Side and one angle in the other, can y^ou apply one as a pattern and make it fit on the other ? 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...
Page 136 - Theorem — Two triangles are equal when the three sides of the one are respectively equal to the three sides of the other.
Page 125 - If two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third sides are unequal, and the greater third side belongs to the triangle having the greater included angle.
Page 69 - If two lines are cut by a third, and the sum of the interior angles on the same side of the cutting line is less than two right angles, the lines will meet on that side when sufficiently produced.
Page 2 - LEMMA 4. — A common divisor of two numbers is a divisor of their sum and also of their difference.