The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 páginas |
Dentro del libro
Resultados 1-5 de 37
Página 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 ...
Página 178
... circle to any point on the circum- ference of another which does not meet it . Any three sides of a quadrilateral are together greater than the fourth . PROPOSITION 9 . If a point be taken within a 178 Euclid's Elements .
... circle to any point on the circum- ference of another which does not meet it . Any three sides of a quadrilateral are together greater than the fourth . PROPOSITION 9 . If a point be taken within a 178 Euclid's Elements .
Página 205
... circles are drawn parallel straight lines which are terminated by the circum- ferences show that these lines are ... circle is described to pass through A and B and cut CA , CB in D , E. Show that DE belongs to a set of parallel lines ...
... circles are drawn parallel straight lines which are terminated by the circum- ferences show that these lines are ... circle is described to pass through A and B and cut CA , CB in D , E. Show that DE belongs to a set of parallel lines ...
Página 211
... circle equal angles stand upon equal arcs , whether they be at the centres or the circumferences . For in the ABC ... circum - circle of a △ ABC in F. Show that FB = FO = FC . Ex . 344 .- ( i . ) The internal bisector of any angle at ...
... circle equal angles stand upon equal arcs , whether they be at the centres or the circumferences . For in the ABC ... circum - circle of a △ ABC in F. Show that FB = FO = FC . Ex . 344 .- ( i . ) The internal bisector of any angle at ...
Página 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 ...
... 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 ...
Otras ediciones - Ver todas
The Harpur Euclid: An Edition of Euclid's Elements, Revised in Accordance ... Edward Mann Langley,Euclid,W. Seys Phillips Sin vista previa disponible - 2015 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 390 - ... figures are to one another in the duplicate ratio of their homologous sides.
Página 97 - Let it be granted that a straight line may be drawn from any one point to any other point.
Página 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.
Página 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.
Página 40 - Any two sides of a triangle are together greater than the third side.
Página 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.
Página 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.
Página 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...