The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 σελίδες |
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Αποτελέσματα 1 - 5 από τα 69.
Σελίδα 13
... ABCD and PQRS , have the sides AB , BC , CD respectively equal to the sides PQ , QR , RS , and the angles B and C respectively equal to the angles Q and R. Show that the quadrilaterals are congruent . DEF . A triangle with two of its ...
... ABCD and PQRS , have the sides AB , BC , CD respectively equal to the sides PQ , QR , RS , and the angles B and C respectively equal to the angles Q and R. Show that the quadrilaterals are congruent . DEF . A triangle with two of its ...
Σελίδα 19
... ABCD could , if there was looseness at the joints , easily be dis- torted into the shape shown by AB'C'D without having to stretch or compress any of the bars of which it is composed . But if a fifth bar , EF , were pivoted to A D AB ...
... ABCD could , if there was looseness at the joints , easily be dis- torted into the shape shown by AB'C'D without having to stretch or compress any of the bars of which it is composed . But if a fifth bar , EF , were pivoted to A D AB ...
Σελίδα 21
... ABCD is a rhombus ( that is , a quadrilateral having all its sides equal to one another ) , and AC cuts BD in E , then AE is equal to EC , and BE is equal to ED ; also the four angles AEB , BEC , CED , DEA are all equal to one another ...
... ABCD is a rhombus ( that is , a quadrilateral having all its sides equal to one another ) , and AC cuts BD in E , then AE is equal to EC , and BE is equal to ED ; also the four angles AEB , BEC , CED , DEA are all equal to one another ...
Σελίδα 64
... two As ACB , DCB , and adjacent to their equal s ; ... AB = CD , AC = BD , L BAC BDC , and ABC ABCD ( i.e. the gm is bisected by BC ) . [ Demonstration of I. 26 . L Similarly , if AD were joined it could be 64 Euclid's Elements .
... two As ACB , DCB , and adjacent to their equal s ; ... AB = CD , AC = BD , L BAC BDC , and ABC ABCD ( i.e. the gm is bisected by BC ) . [ Demonstration of I. 26 . L Similarly , if AD were joined it could be 64 Euclid's Elements .
Σελίδα 66
... ABCD , EBCF be on the same base and between the same || s AF , BC , ABCD shall be equal to EBCF . F A DE B B Fig . 1 . Fig . 2 . E D F F B Fig . 3 . If the sides AD , EF be terminated in the same point D ( E coinciding with D , Fig . 1 ) ...
... ABCD , EBCF be on the same base and between the same || s AF , BC , ABCD shall be equal to EBCF . F A DE B B Fig . 1 . Fig . 2 . E D F F B Fig . 3 . If the sides AD , EF be terminated in the same point D ( E coinciding with D , Fig . 1 ) ...
Άλλες εκδόσεις - Προβολή όλων
The Harpur Euclid: An Edition of Euclid's Elements, Revised in Accordance ... Edward Mann Langley,Euclid,W. Seys Phillips Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 390 - ... figures are to one another in the duplicate ratio of their homologous sides.
Σελίδα 97 - Let it be granted that a straight line may be drawn from any one point to any other point.
Σελίδα 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.
Σελίδα 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.
Σελίδα 40 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...