# Plane and Solid Geometry

Ginn, 1913 - 470 páginas

### Contenido

 PLANE GEOMETRY 1 RECTILINEAR FIGURES 25 THE CIRCLE 93 PROPORTION SIMILAR POLYGONS 151 SIMILAR POLYGONS 165 NUMERICAL PROPERTIES OF FIGURES 175 PROBLEMS OF CONSTRUCTION 183 25 189
 POLYHEDRONS CYLINDERS AND CONES 317 84 321 93 346 94 369 96 375 THE SPHERE 381 102 394 109 420

 AREAS OF POLYGONS 191 REGULAR POLYGONS AND CIRCLES 227 46 250 APPENDIX TO PLANE GEOMETRY 261 73 271 SOLID GEOMETRY 273 882288 292
 APPENDIX TO SOLID GEOMETRY 431 140 446 RECREATIONS OF GEOMETRY 449 APPLICATIONS OF GEOMETRY 461 TABLE OF FORMULAS 469 141 471 Derechos de autor

### Pasajes populares

Página 67 - The line joining the middle points of two sides of a triangle is parallel to the third side and equal to half of the third side.
Página 356 - Similar cylinders are to each other as the cubes of their altitudes, or as the cubes of the diameters of their bases.
Página 186 - If in a right triangle a perpendicular is drawn from the vertex of the right angle to the hypotenuse : I.
Página 150 - If the product of two quantities is equal to the product of two others, either two may be made the extremes of a proportion and the other two the means.
Página 54 - America, but know that we are alive, that two and two make four, and that the sum of any two sides of a triangle is greater than the third side.
Página 31 - In an isosceles triangle the angles opposite the equal sides are equal.
Página 77 - If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second. Given A ABC and A'B'C...
Página 51 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Página 22 - The following are the most important axioms used in geometry: 1. If equals are added to equals the sums are equal. 2. If equals are subtracted from equals the remainders are equal. 3. If equals are multiplied by equals the products are equal. 4. If equals are divided by equals the quotients are equal.
Página 209 - The square constructed upon the sum of two lines is equivalent to the sum of the squares constructed upon these two lines, increased by twice the rectangle of these lines.