The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 31.
Σελίδα 99
... circle can be described to pass through A , B , and C ) , and is called the circum - centre of the triangle . Ex . 106. The three straight lines which bisect the interior angles of a triangle meet in a point . The point in which any two ...
... circle can be described to pass through A , B , and C ) , and is called the circum - centre of the triangle . Ex . 106. The three straight lines which bisect the interior angles of a triangle meet in a point . The point in which any two ...
Σελίδα 205
... circles are drawn parallel straight lines which are terminated by the circum- ferences show that these lines are ... triangle . How many solutions will there be of this problem ? Ex . 331. - ABC is a triangle : any circle is described to ...
... circles are drawn parallel straight lines which are terminated by the circum- ferences show that these lines are ... triangle . How many solutions will there be of this problem ? Ex . 331. - ABC is a triangle : any circle is described to ...
Σελίδα 211
... circle equal angles stand upon equal arcs , whether they be at the centres or the circumferences . For in the ABC ... triangle ABC ; AO is produced to cut the circum - circle of a △ ABC in F. Show that FB = FO = FC . Ex . 344 .- ( i ...
... circle equal angles stand upon equal arcs , whether they be at the centres or the circumferences . For in the ABC ... triangle ABC ; AO is produced to cut the circum - circle of a △ ABC in F. Show that FB = FO = FC . Ex . 344 .- ( i ...
Σελίδα 219
... circle a straight line be drawn making angles with the chord equal to the angles in the alternate segments , this ... circum - circle of the triangle ABC is parallel to any anti - parallel to BC with respect to A. ( See Ex . 105 and 257. ) Ex ...
... circle a straight line be drawn making angles with the chord equal to the angles in the alternate segments , this ... circum - circle of the triangle ABC is parallel to any anti - parallel to BC with respect to A. ( See Ex . 105 and 257. ) Ex ...
Σελίδα 229
... circle there be drawn two straight lines , one of which cuts the circle and the other meets it ; if the rectangle contained by the whole straight line which cuts the circle and the part of it without the circle be equal to the square of ...
... circle there be drawn two straight lines , one of which cuts the circle and the other meets it ; if the rectangle contained by the whole straight line which cuts the circle and the part of it without the circle be equal to the square of ...
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...