Practical GeometryCUP Archive, 1860 - 147 pages |
Contents
MEASUREMENT OF LINES AND ANGLES | 1 |
SCALE DRAWING I not requiring the use of parallels | 13 |
Parallel Straight Lines | 20 |
ANGLES OF A TRIANGLE OF A POLYGON | 30 |
CONSTRUCTION OF TRIANGLES AND POLYGONS | 36 |
PRACTICAL CONSTRUCTIONS | 48 |
36 | 54 |
SCALE DRAWING III | 55 |
AREA OF CIRCLE | 175 |
Miscellaneous Exercises III | 183 |
SOLIDS OF UNIFORM CROSS | 197 |
THE CONE | 208 |
THE SPHERE | 220 |
THE REGULAR SOLIDS | 226 |
Revision Papers B | 234 |
251 | |
44 | 62 |
CONTINUOUS CHANGE OF A FIGURE | 71 |
Miscellaneous Exercises I | 80 |
SIMILAR FIGURES | 86 |
If two triangles have one angle of the one equal to one angle of | 92 |
the pantograph | 99 |
Area of triangle | 105 |
Area of similar figures | 112 |
69 | 113 |
Miscellaneous Exercises II | 120 |
THE CIRCLE ARCS | 135 |
THE CIRCLE TANGENTS | 146 |
CONTACT OF CIRCLES COMMON TANGENTS | 152 |
THE CIRCLE ANGLE PROPERTIES | 161 |
Introductory note 1 | 1 |
Playfairs axiom 7 | 7 |
i The opposite angles of a parallelogram are equal | 21 |
Of all the straight lines that can be drawn to | 28 |
FX 25 | 37 |
29 | 38 |
Frameworks p 38 Exercises on construction of triangles | 43 |
EXTENSION OF PYTHAGORAS THEOREM In an obtuse | 53 |
i equal chords are equidistant from the centres | 59 |
The tangent at any point of a circle and the radius | 60 |
73 | 65 |
If a straight line touch a circle and from the point | 66 |
Congruent triangles | 85 |
Common terms and phrases
altitude base BC bisect centre chord circle of radius circles touch circular circumference common tangents cone cyclic quadrilateral cylinder Data diagonal diameter distance divided Draw a circle drawn parallel edge equal circles equiangular equidistant equilateral triangle exterior angle feet figure Find the area fixed point freehand given line given point given straight line height horizontal hypotenuse inches inscribed intersect isosceles triangle LAPB line drawn line joining locus Measure meet mid-point miles opposite sides paper parallel straight lines parallelogram plane Plot the locus point of contact polygon prism produced Proof prove pyramid Pythagoras quadrilateral ABCD radii radius ratio rectangle reflex angle regular polygon Repeat Ex rhombus right angles right-angled triangle segment semicircle set square Show similar sphere subtends surface symmetry tetrahedron theorem trapezium triangle ABC vertex
Popular passages
Page xii - 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.