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26 to show ABCD altitude angle equal angular points apply Euc bisect bisectors centre circle Construct a right-angled Construct a triangle Construct an isosceles contained angle convex polygon diagonals Draw a straight drawn parallel equal angles equal bases equally distant equilateral triangle Euclid exterior angles Find a point Find the locus fixed point Francis Storr given line given point given square given straight line given triangle gonals hypotenuse intersecting straight lines isosceles triangle joining the mid-points Let ABC line which joins lines be drawn median meets BC method of Ex mid-point of BC obtuse opposite angles opposite sides parallel straight lines parallelogram perimeter perpendicular point in BC previous Ex quadrilateral rectangle required to prove respectively equal rhombus right angles right-angled triangle Standard Theorem straight line drawn trapezium triangle required Trisect vertex vertical angle
الصفحة 81 - In every triangle, the square on the side subtending an acute angle is less than the sum of the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall on it from the opposite angle, and the acute angle.
الصفحة 135 - PROB. from a given point to draw a straight line equal to a given straight line. Let A be the given point, and BC the given straight line : it is required to draw from the point A a straight line equal to BC.
الصفحة 136 - If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
الصفحة 138 - If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle.
الصفحة 81 - In obtuse-angled triangles, if a perpendicular be drawn from either of the acute angles to the opposite side produced, the square on the side subtending the obtuse angle is greater than the squares on the sides containing the obtuse angle, by twice the rectangle contained by the side...
الصفحة 137 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.
الصفحة 50 - A line which joins the midpoints of two sides of a triangle is parallel to the third side and equal to half of it.
الصفحة 137 - ... upon the same side together equal to two right angles; the two straight lines shall be parallel to one another.