The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 σελίδες |
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Αποτελέσματα 1 - 5 από τα 82.
Σελίδα 7
... side , which is then called its base , and the intersection of the other two sides is called the vertex . ' ( Syllabus . ) 4. The quadrilateral ( four - sided ) figure ACBD has all its sides equal . Such a quadrilateral is called a ...
... side , which is then called its base , and the intersection of the other two sides is called the vertex . ' ( Syllabus . ) 4. The quadrilateral ( four - sided ) figure ACBD has all its sides equal . Such a quadrilateral is called a ...
Σελίδα 12
... sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have their bases or third sides equal ; and the two triangles shall be equal ...
... sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have their bases or third sides equal ; and the two triangles shall be equal ...
Σελίδα 13
... 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 sides equal to each other ...
... 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 sides equal to each other ...
Σελίδα 14
... sides be produced , the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having the side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E , the ...
... sides be produced , the angles on the other side of the base shall be equal to one another . Let ABC be an isosceles triangle , having the side AB equal to the side AC , and let the straight lines AB , AC be produced to D and E , the ...
Σελίδα 18
... side of it , let there A A B be two triangles ACB , ADB , having their sides CA , DA , which are ter- minated at A , equal to one another , then they cannot have also the sides CB , DB , which are terminated at B , equal to one another ...
... side of it , let there A A B be two triangles ACB , ADB , having their sides CA , DA , which are ter- minated at A , equal to one another , then they cannot have also the sides CB , DB , which are terminated at B , equal to one another ...
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...