# Elementary Geometry: Practical and Theoretical

University Press, 1903 - 355 sider

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### Innhold

 Angles 7 Regular polygons 17 Pyramidsthe Tetrahedron 26 Parallels and perpendiculars 35 Cube cuboid prism wedge 42 Heights and distances 48 Points lines surfaces solids 55 BOOK I 63
 Miscellaneous Exercises 154 Area of parallelogram 167 Area of any rectilinear figure 178 Miscellaneous Exercises 186 Illustrations of algebraical identities by figures 201 Projections 210 THE CIRCLE 217 SECTION PAGE 261

 Parallel straight lines 70 Angles of a triangle 80 Congruent triangles 85 Constructions 103 Construction of triangles from given data 113 Inequalities 119 Parallelograms 132 Subdivision of a straight line 141 Intersection of loci 148
 Constructions depending on Angle properties 268 Area of Circle 284 SIMILARITY 301 Similar Triangles 313 Rectangle Properties etc 326 Similar Polygons 337 Miscellaneous Exercises 345 List of Definitions 352

### Populære avsnitt

Side 88 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 269 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 206 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 342 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.
Side 270 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Side 186 - This sub-division shows that the square on the hypotenuse of the above right-angled triangle is equal to the sum of the squares on the sides containing the right angle.
Side 206 - If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Side 136 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line.
Side 214 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Side 123 - The difference between any two sides of a triangle is less than the third side.