Elements of Euclid Adapted to Modern Methods in GeometryWilliam Collins, Sons,, 1874 - 216 sider |
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Side 13
... circle is any part of the circumference . 32. A chord is a straight line joining the two extremities of an arc . 33. A segment of a circle is the figure contained by an arc and its chord . The chord is called the base of the segment ...
... circle is any part of the circumference . 32. A chord is a straight line joining the two extremities of an arc . 33. A segment of a circle is the figure contained by an arc and its chord . The chord is called the base of the segment ...
Side 14
... circle may be described from any centre , with a radius equal to any finite straight line . AXIOMS . 1. Things which are equal to the same , or to equals , are equal to one another . B Thus , if we know that the line B is equal to the ...
... circle may be described from any centre , with a radius equal to any finite straight line . AXIOMS . 1. Things which are equal to the same , or to equals , are equal to one another . B Thus , if we know that the line B is equal to the ...
Side 15
... circle which shall pass through three given points , etc. A theorem is some- thing set forth to be demonstrated as true , such as that every triangle must have two acute angles ; that all the angles of a triangle make up exactly two ...
... circle which shall pass through three given points , etc. A theorem is some- thing set forth to be demonstrated as true , such as that every triangle must have two acute angles ; that all the angles of a triangle make up exactly two ...
Side 16
... circle from one end of a given line , and so that the circumference shall pass through the other . But this ... circles and a triangle , and the drawing of three lines in assigned positions , while every one solves it in prac- tice by ...
... circle from one end of a given line , and so that the circumference shall pass through the other . But this ... circles and a triangle , and the drawing of three lines in assigned positions , while every one solves it in prac- tice by ...
Side 17
... circle BCD , and from the centre B , at the distance BA , describe ( post . 3 ) the circle ACE ; and from the point C ' , in which the circles cut one D B E another , draw ( post . 1 ) the straight lines CA , CB , to the points A , B ...
... circle BCD , and from the centre B , at the distance BA , describe ( post . 3 ) the circle ACE ; and from the point C ' , in which the circles cut one D B E another , draw ( post . 1 ) the straight lines CA , CB , to the points A , B ...
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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.