Elements of Euclid Adapted to Modern Methods in GeometryWilliam Collins, Sons,, 1874 - 216 sider |
Inni boken
Resultat 1-5 av 82
Side 9
... line is length without breadth . Cor . - The extremities or boundaries of a surface are lines ; and the intersection of one surface with another is also a line . 4 ... straight line . Cor . - Hence two straight lines cannot enclose a Book I.
... line is length without breadth . Cor . - The extremities or boundaries of a surface are lines ; and the intersection of one surface with another is also a line . 4 ... straight line . Cor . - Hence two straight lines cannot enclose a Book I.
Side 10
... straight lines have a common segment . A Thus , CA cannot be a continua- tion of both BC and DC . 6. A plane surface or plane is that in which any two points being taken , the straight line ... straight lines meeting at a point ; and the ...
... straight lines have a common segment . A Thus , CA cannot be a continua- tion of both BC and DC . 6. A plane surface or plane is that in which any two points being taken , the straight line ... straight lines meeting at a point ; and the ...
Side 11
... lines ; if the lines are straight , the figure is called rectilineal . A solid figure is that which is enclosed by one or more surfaces . 14. A triangle is a plane figure contained by three straight lines . Any one of the sides of a ...
... lines ; if the lines are straight , the figure is called rectilineal . A solid figure is that which is enclosed by one or more surfaces . 14. A triangle is a plane figure contained by three straight lines . Any one of the sides of a ...
Side 12
... straight line joining the vertices of two angles not adjacent is called a diagonal . 18. An equilateral triangle is ... straight lines are those which are on the same plane , and , being produced ever so far both ways , do not meet ...
... straight line joining the vertices of two angles not adjacent is called a diagonal . 18. An equilateral triangle is ... straight lines are those which are on the same plane , and , being produced ever so far both ways , do not meet ...
Side 13
... line called the circumference ; and is such that all straight lines drawn from a certain point within it to the circumference are equal to one another . This point is called the centre of the circle . 31. An arc of a circle is any part ...
... line called the circumference ; and is such that all straight lines drawn from a certain point within it to the circumference are equal to one another . This point is called the centre of the circle . 31. An arc of a circle is any part ...
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Elements of Euclid, Adapted to Modern Methods in Geometry. By J. Bryce ... Uten tilgangsbegrensning - 1874 |
Elements of Euclid Adapted to Modern Methods in Geometry Euclid,James Bryce,David Munn (F.R.S.E.) Ingen forhåndsvisning tilgjengelig - 1874 |
Vanlige uttrykk og setninger
AC and CB altitude angle AOB BA and AC bisecting the angle centre chord circles touch circumference cloth coincide Const conv Cor.-Hence diagonal diameter divided draw equal angles equal to BC equal to twice equiangular equilateral triangle Euclid exterior angle Fcap GEOGRAPHY geometrical given circle given line given point given straight line greater half the perimeter Hence hypotenuse inscribed intersecting isosceles triangle less Let ABC LL.D meet middle point multiple opposite sides parallel to BC parallelogram perpendicular polygon produced Proposition Q. E. D. Cor Q. E. D. PROP radius ratio rectangle contained rectilineal figure reflex angle remaining angles required to prove right angles right-angled triangle schol segments shew shewn side BC square on AC tangent THEOREM triangle ABC twice the rectangle twice the square whole line
Populære avsnitt
Side 68 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Side 77 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line.
Side 50 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram is double of the triangle.
Side 87 - If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section.
Side 30 - Any two sides of a triangle are together greater than the third side.
Side 204 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle...
Side 89 - To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part.
Side 98 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.