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Parallel Straight Lines
Angles of a Polygon
Drawing to Scale
Ratio and proportion
CONSTRUCTION On a given straight line to construct
CONSTRUCTION To describe a square equivalent to a given
ANGLES OF A TRIANGLE A POLYGON
TABLE OF FACTS OR THEOREMS
Area by counting squaressquared paper
COR If equal perpendiculars are erected on the same
AREA OF PARALLELOGRAM
CONSTRUCTION To construct a triangle equivalent to
THE THEOREM OF PYTHAGORAS
CONSTRUCTION To circumscribe a circle about a given
CONSTRUCTION To inscribe a circle in a given triangle
If a straight line touch a circle and from
Common tangents to two circles
FURTHER EXAMPLES OF LOCI
Coordinates in Space
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Common terms and phrases
altitude base bisector bisects Calculate called centre chord circle circle of radius circumference common tangent congruent constant construct contained corresponding Data described diagonal diameter distance divided Draw drawn drawn parallel edge equal equiangular equidistant equilateral triangle equivalent externally fact figure Find fixed point formed four GEOMETRY Give given line given point given straight line height inches inscribed intersect isosceles triangle length locus mark mean Measure meet mid-point miles moves opposite sides pair parallel parallelogram pass perpendicular plane Plot polygon positions produced Proof proportional Prove quadrilateral ABCD radii radius ratio rectangle regular respectively right angles right-angled triangle segment Show sides similar square straight line subtended taken THEOREM third touch triangle ABC units vertex vertical
Page xiii - In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.
Page xxi - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Page xi - The locus of a point which is equidistant from two intersecting straight lines consists of the pair of straight lines which bisect the angles between the two given lines.