The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 sider |
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Side 4
... placed upon themselves as to the elementary constructions they take for granted . ' They only take for granted the three demanded ' by the Postulates . AXIOM S. I. Things which are equal to the same 4 Euclid's Elements .
... placed upon themselves as to the elementary constructions they take for granted . ' They only take for granted the three demanded ' by the Postulates . AXIOM S. I. Things which are equal to the same 4 Euclid's Elements .
Side 83
... construction here given by Euclid practically , making first of all a triangle congruent with C , and having one of its sides in a straight line with AB ; next making a parallelogram equivalent to this triangle . [ By I. 22 . [ By I. 42 ...
... construction here given by Euclid practically , making first of all a triangle congruent with C , and having one of its sides in a straight line with AB ; next making a parallelogram equivalent to this triangle . [ By I. 22 . [ By I. 42 ...
Side 85
... construction is indicated by the annexed diagram for obtaining a parallelogram equivalent to a given regular hexagon or octagon . In practice with an irregular figure , it would be found less tedious to use the method of Ex . 78 , 79 to ...
... construction is indicated by the annexed diagram for obtaining a parallelogram equivalent to a given regular hexagon or octagon . In practice with an irregular figure , it would be found less tedious to use the method of Ex . 78 , 79 to ...
Side 97
... any centre , at any distance from that centre . 1 i.e. Elementary Problems whose construction it is to be taken for granted we can effect . AXIOMS.1 1. Things which are equal to the Same are Definitions , Postulates , and Axioms . 97.
... any centre , at any distance from that centre . 1 i.e. Elementary Problems whose construction it is to be taken for granted we can effect . AXIOMS.1 1. Things which are equal to the Same are Definitions , Postulates , and Axioms . 97.
Side 114
... construction by Elemen- tary Geometry . See page 4 . When we examine the properties of the figure , we are said to be per- forming Geometrical Analysis . When we use the results of our investigation to construct the figure by Elementary ...
... construction by Elemen- tary Geometry . See page 4 . When we examine the properties of the figure , we are said to be per- forming Geometrical Analysis . When we use the results of our investigation to construct the figure by Elementary ...
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The Harper Euclid: An Edition of Euclid's Elements, Revised in Accordance ... Euclid,Edward Mann Langley,W. Seys Phillips Uten tilgangsbegrensning - 1890 |
The Harpur Euclid: An Edition of Euclid's Elements, Revised in Accordance ... Euclid,Edward Mann Langley,W. Seys Phillips Uten tilgangsbegrensning - 1894 |
The Harpur Euclid: An Edition of Euclid's Elements, Revised in Accordance ... Edward Mann Langley,Euclid,W. Seys Phillips Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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 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 produced Prop PROPOSITION PROPOSITION 13 radical axis radius rect rectangle contained reqd rhombus right angles segment Show sides BC similar Similarly Simson's line square straight line drawn student subtended symmedian symmedian point tangent THEOREM touch triangle ABC vertex vertices
Populære avsnitt
Side 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.
Side 369 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 390 - ... figures are to one another in the duplicate ratio of their homologous sides.
Side 97 - Let it be granted that a straight line may be drawn from any one point to any other point.
Side 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.
Side 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.
Side 40 - Any two sides of a triangle are together greater than the third side.
Side 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.
Side 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.
Side 156 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together •with the square...