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Elementary Plane Geometry: Inductive and Deductive / By Alfred Baker
Sin vista previa disponible - 2015
50 millimetres ABCD accurately adjacent angle ABC angle of 60 angular points Apply test base bevel bisected called centre CHAPTER chord circle of radius circle touching circumference compasses Construct a triangle contains corresponding Describe a circle diagonals diameter direction distance dividers draw draw a line draw a tangent drawn edge ends equal equal angles equilateral triangle examine Exercises figure formed four geometry Give proof Give reasons given greater half Hence hexagon inches inscribe intersect Join length magnitudes mark measure meet millimetres nearest observe obtained opposite sides pair parallel parallel lines parallel rulers parallelogram pass perpendicular position preceding question produced protractor prove quadrilateral radii ratio reached rectangle regular pentagon relation remaining result right angles segment set-square sides square straight line tangents tion triangle ABC
Página 68 - In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle.
Página 42 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 40 - Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry.
Página 91 - 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.
Página 17 - Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal...
Página 18 - If two angles of a triangle are equal, the sides opposite to these angles are equal 21 ^THEOREM 14.
Página 86 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Página 88 - The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse.