The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 σελίδες |
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Αποτελέσματα 1 - 5 από τα 41.
Σελίδα 79
... sides of another , the first is said to be inscribed in the second , and the second is said to be described about the first . PROPOSITION 43. THEOREM . The complements of the parallelograms which Book I. Prop . 42 . 79.
... sides of another , the first is said to be inscribed in the second , and the second is said to be described about the first . PROPOSITION 43. THEOREM . The complements of the parallelograms which Book I. Prop . 42 . 79.
Σελίδα 146
... inscribe a regular decagon ( and .. also to inscribe a regular pentagon ) in a given . For the proof of these assertions he is referred to IV . 10 , 11 . Ex . 207. - To produce a given st . line ( CA ) to a point ( F ) such that the ...
... inscribe a regular decagon ( and .. also to inscribe a regular pentagon ) in a given . For the proof of these assertions he is referred to IV . 10 , 11 . Ex . 207. - To produce a given st . line ( CA ) to a point ( F ) such that the ...
Σελίδα 159
... inscribed in a second parallelogram , the sides of the first being parallel to the diameters of the second . Show that the diameters of the two parallelograms pass through the same point . Examine the effect of omitting the words ...
... inscribed in a second parallelogram , the sides of the first being parallel to the diameters of the second . Show that the diameters of the two parallelograms pass through the same point . Examine the effect of omitting the words ...
Σελίδα 160
... A circle can be described with centre K to pass through the six points P , Q , R , S , T , V. This circle is called the ' Cosine Circle ' of the triangle . Ex . 259. To inscribe three rectangles in a triangle 160 Euclid's Elements .
... A circle can be described with centre K to pass through the six points P , Q , R , S , T , V. This circle is called the ' Cosine Circle ' of the triangle . Ex . 259. To inscribe three rectangles in a triangle 160 Euclid's Elements .
Σελίδα 161
... inscribe three rectangles in a triangle whose diagonals shall all intersect in the same point . The previous exercise affords a solution of this problem , the point of intersection being the symmedian point of the triangle . Ex . 260 ...
... inscribe three rectangles in a triangle whose diagonals shall all intersect in the same point . The previous exercise affords a solution of this problem , the point of intersection being the symmedian point of the triangle . Ex . 260 ...
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...