The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 sider |
Inni boken
Resultat 1-5 av 84
Side 12
... ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely ... triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are ...
... ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely ... triangle ABC to the triangle DEF , and the other angles shall be equal , each to each , to which the equal sides are ...
Side 13
... triangle ABC coincides with the whole triangle DEF , and is equal to it . [ AX . 8 . Also since AB , BC coincide with DE , EF , therefore the angle B is equal to the angle E. [ AX . 8 . And since AC , CB coincide with DF , FE ...
... triangle ABC coincides with the whole triangle DEF , and is equal to it . [ AX . 8 . Also since AB , BC coincide with DE , EF , therefore the angle B is equal to the angle E. [ AX . 8 . And since AC , CB coincide with DF , FE ...
Side 14
... triangle are equal to one another , and , if the equal 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 ...
... triangle are equal to one another , and , if the equal 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 ...
Side 16
... ABC be a triangle , having the angle ABC equal to the angle ACB : the side AC shall be equal to the side AB . A For if AC be not equal to AB , one of them must be greater than the other . Let AB be the greater , and from it cut off BD ...
... ABC be a triangle , having the angle ABC equal to the angle ACB : the side AC shall be equal to the side AB . A For if AC be not equal to AB , one of them must be greater than the other . Let AB be the greater , and from it cut off BD ...
Side 20
... ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF each to each , namely AB to ... triangle ABC be applied to the triangle DEF , so that the point B may be on the point E , and the straight line BC ...
... ABC , DEF be two triangles , having the two sides AB , AC equal to the two sides DE , DF each to each , namely AB to ... triangle ABC be applied to the triangle DEF , so that the point B may be on the point E , and the straight line BC ...
Andre utgaver - Vis alle
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...