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The Harpur Euclid: An Edition of Euclid's Elements, Revised in Accordance ...
Edward Mann Langley,Euclid,W. Seys Phillips
Geen voorbeeld beschikbaar - 2015
AABC ABCD bisect bisector Brocard point chord circum-circle of triangle circumference coincide common concyclic congruent cyclic quadrilateral demonstration described diagonals diameter diamr divided draw equal angles equiangr equiangular equidistant equilateral triangle equimultiples Euclid exterior angle fixed point Geometry given circle given point given ratio given st given straight line given triangle greater Hence inscribed intersect isosceles isosceles triangle Join Let ABC locus magnitude meet mid-point opposite sides parallel parallelogram pass pentagon perpendicular plane problem produced Prop PROPOSITION PROPOSITION 13 radical axis radius rectangle contained reqd rhombus right angles segment Show sides BC similar Similarly Simson line square straight line drawn student subtended symmedian symmedian point tangent Theorem touch triangle ABC vertex vertices
Pagina 21 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Pagina 390 - ... figures are to one another in the duplicate ratio of their homologous sides.
Pagina 97 - Let it be granted that a straight line may be drawn from any one point to any other point.
Pagina 370 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Pagina 96 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Pagina 40 - Any two sides of a triangle are together greater than the third side.
Pagina 143 - Three times the sum of the squares on the sides of a triangle is equal to four times the sum of the squares of the lines joining the middle point of each side with the opposite angles.
Pagina 407 - 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.