Elements of Euclid Adapted to Modern Methods in GeometryWilliam Collins, Sons,, 1874 - 216 σελίδες |
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Αποτελέσματα 1 - 5 από τα 59.
Σελίδα 5
... line along the outer margin of the page . The signs used in Algebra and ... given in Appendices to the various books . In these also are placed ... given the Editors much anxious consideration . Though Euclid's method of deliver- ing the ...
... line along the outer margin of the page . The signs used in Algebra and ... given in Appendices to the various books . In these also are placed ... given the Editors much anxious consideration . Though Euclid's method of deliver- ing the ...
Σελίδα 15
... line . a . A straight line is defined by Euclid to be " that which lies evenly between its extreme points . " But ... given line ; to describe a circle which shall pass through three given points , etc. A theorem is some- thing set forth ...
... line . a . A straight line is defined by Euclid to be " that which lies evenly between its extreme points . " But ... given line ; to describe a circle which shall pass through three given points , etc. A theorem is some- thing set forth ...
Σελίδα 16
... a circle from one end of a given line , and so that the circumference shall pass through the other . But this restriction has been abandoned by most geometers , and the compasses used to carry distances . In this way many problems are ...
... a circle from one end of a given line , and so that the circumference shall pass through the other . But this restriction has been abandoned by most geometers , and the compasses used to carry distances . In this way many problems are ...
Σελίδα 17
... a given finite straight line . Let AB be the given finite straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( post . 3 ) the circle BCD , and from the centre B ...
... a given finite straight line . Let AB be the given finite straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( post . 3 ) the circle BCD , and from the centre B ...
Σελίδα 18
... line equal to a given straight line . | B A D Let A be the given point , and B the given straight line ; it is required to draw from A a straight line equal to B. From the centre A , with the radius B , describe ( post . 3 ) an arc of a ...
... line equal to a given straight line . | B A D Let A be the given point , and B the given straight line ; it is required to draw from A a straight line equal to B. From the centre A , with the radius B , describe ( post . 3 ) an arc of a ...
Άλλες εκδόσεις - Προβολή όλων
Elements of Euclid Adapted to Modern Methods in Geometry Euclid,James Bryce,David Munn (F.R.S.E.) Δεν υπάρχει διαθέσιμη προεπισκόπηση - 1874 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 50 - If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram is double of the triangle.
Σελίδα 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.
Σελίδα 30 - Any two sides of a triangle are together greater than the third side.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.