The Harpur Euclid: An Edition of Euclid's ElementsRivingtons, 1890 - 515 sider |
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Resultat 1-5 av 81
Side 2
... lies evenly between its extreme points . A straight line is sometimes spoken of as the join of its extreme points . 5. A superficies ( or surface ) is that which has only length and breadth . 6. The extremities of a surface are lines ...
... lies evenly between its extreme points . A straight line is sometimes spoken of as the join of its extreme points . 5. A superficies ( or surface ) is that which has only length and breadth . 6. The extremities of a surface are lines ...
Side 43
... lying entirely between the first path and BC , and such that if any of the straight lines BS , ST , TV , VC which form it be produced either way , the pro- duced parts will lie without the figure BSTVC . Show that the outside path is ...
... lying entirely between the first path and BC , and such that if any of the straight lines BS , ST , TV , VC which form it be produced either way , the pro- duced parts will lie without the figure BSTVC . Show that the outside path is ...
Side 49
... lie somewhere on the straight line from B through the point A. [ HYP . Again , the point D must lie somewhere on the straight line . from C through A , FLC ; .. it must coincide with A , [ HYP . and .. the whole △ DEF coincides with ...
... lie somewhere on the straight line from B through the point A. [ HYP . Again , the point D must lie somewhere on the straight line . from C through A , FLC ; .. it must coincide with A , [ HYP . and .. the whole △ DEF coincides with ...
Side 76
... lies on two different loci , and will be at their intersection if there be such a point . Show that if there is such a point there must at least be three others possessing the same property , and that there may be an infinite number ...
... lies on two different loci , and will be at their intersection if there be such a point . Show that if there is such a point there must at least be three others possessing the same property , and that there may be an infinite number ...
Side 81
... lies on the diameter AC . Where must K be in order that the parallelograms about the diameter may be equivalent as well as the complements ? PROPOSITION 44. PROBLEM . To a given straight line to Book I. Prop . 43 . 81.
... lies on the diameter AC . Where must K be in order that the parallelograms about the diameter may be equivalent as well as the complements ? PROPOSITION 44. PROBLEM . To a given straight line to Book I. Prop . 43 . 81.
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...