Elements of Euclid Adapted to Modern Methods in GeometryWilliam Collins, Sons,, 1874 - 216 σελίδες |
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Αποτελέσματα 1 - 5 από τα 46.
Σελίδα 11
... sides of a triangle in reference to the opposite angle , and in distinction from the other two sides , is called the base ; the other two sides in reference to the base are often called the legs ; " but the term is scarcely admissible ...
... sides of a triangle in reference to the opposite angle , and in distinction from the other two sides , is called the base ; the other two sides in reference to the base are often called the legs ; " but the term is scarcely admissible ...
Σελίδα 12
... sides and angles are equal . It is said to be convex when no one of its ... opposite to , or subtending , the right angle is called the hypotenuse . 22 ... sides of a right lined figure is called the perimeter of the figure . The amount ...
... sides and angles are equal . It is said to be convex when no one of its ... opposite to , or subtending , the right angle is called the hypotenuse . 22 ... sides of a right lined figure is called the perimeter of the figure . The amount ...
Σελίδα 19
... side DF , and the angle A equal to the angle D. It is required to prove that the triangles are equal in every respect ; that is , the bases , the areas , and the other angles , namely , those angles which are opposite to the equal sides ...
... side DF , and the angle A equal to the angle D. It is required to prove that the triangles are equal in every respect ; that is , the bases , the areas , and the other angles , namely , those angles which are opposite to the equal sides ...
Σελίδα 22
... angles of a triangle are equal , the sides which subtend , or are opposite to those angles , are also equal . B D E C Let ABC be a triangle , having the angle ACB equal to the angle ABC ; then shall the side AB , which is opposite the ...
... angles of a triangle are equal , the sides which subtend , or are opposite to those angles , are also equal . B D E C Let ABC be a triangle , having the angle ACB equal to the angle ABC ; then shall the side AB , which is opposite the ...
Σελίδα 23
... angles of the one are equal to the remaining angles of the other , namely , those opposite to equal sides . Q. E.D. PROP . VII . - PROBLEM . ( EUC . I. 9. ) To bisect a given rectilineal angle ; that is , to divide it into two equal ...
... angles of the one are equal to the remaining angles of the other , namely , those opposite to equal sides . Q. E.D. PROP . VII . - PROBLEM . ( EUC . I. 9. ) To bisect a given rectilineal angle ; that is , to divide it into two equal ...
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.