The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Αποτελέσματα 1 - 5 από τα 8.
Σελίδα 30
... Нур . therefore the side AC , which is opposite to the angle ABC , is equal to the side A'B ' , which is opposite to the angle A'C'B ' , I. 6 . that is , the side AC is equal to the side AB . COR . If a triangle is equiangular , it is ...
... Нур . therefore the side AC , which is opposite to the angle ABC , is equal to the side A'B ' , which is opposite to the angle A'C'B ' , I. 6 . that is , the side AC is equal to the side AB . COR . If a triangle is equiangular , it is ...
Σελίδα 40
... Нур . If C ' is in the straight line EF , it must lie between E and F , E because the angle EDF is greater than the angle EDC ' , and therefore EC ' , that is BC , is less than EF . Ax . a . But if C ' is not in the straight line EF , A ...
... Нур . If C ' is in the straight line EF , it must lie between E and F , E because the angle EDF is greater than the angle EDC ' , and therefore EC ' , that is BC , is less than EF . Ax . a . But if C ' is not in the straight line EF , A ...
Σελίδα 43
... Нур . I. 5 . the angle ABC equal to the angle DEF , and the angle BCA to the angle EFD . Q.E.D. Second Proof . Let the triangle ABC be applied to the triangle DEF , so that B may fall on E , and BC along EF , and the point A on the ...
... Нур . I. 5 . the angle ABC equal to the angle DEF , and the angle BCA to the angle EFD . Q.E.D. Second Proof . Let the triangle ABC be applied to the triangle DEF , so that B may fall on E , and BC along EF , and the point A on the ...
Σελίδα 44
... Нур . I. 5 . the angle ABC equal to the angle DEF , and the angle ACB to the angle DFE . Q.E.D. Ex . 25. If the opposite sides of a quadrilateral are equal , shew that the opposite angles are also equal . Ex . 26. Two isosceles ...
... Нур . I. 5 . the angle ABC equal to the angle DEF , and the angle ACB to the angle DFE . Q.E.D. Ex . 25. If the opposite sides of a quadrilateral are equal , shew that the opposite angles are also equal . Ex . 26. Two isosceles ...
Σελίδα 45
... Нур . Therefore the two triangles coincide , and therefore are identically equal , Def . 30 . the angle BAC equal to the angle EDF , the side BC to the side EF , and the side CA to the side FD . Q.E.D. Ex . 27. Shew that any point in ...
... Нур . Therefore the two triangles coincide , and therefore are identically equal , Def . 30 . the angle BAC equal to the angle EDF , the side BC to the side EF , and the side CA to the side FD . Q.E.D. Ex . 27. Shew that any point in ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
AB is equal ABCD AC is equal adjacent angles adjoining sides alternate angle angle ABC angle ACB angle AFG angle BAC angle CAB angle DEF angle EDF angle FGD angles are equal angles equal BA and AC base BC bisectors bisects centre circle cutting Constr construct a triangle contrapositive diagonal equal angles equal to AC exterior angle find the locus Geometry given angle given point given straight line greater Hence hypotenuse identically equal interior opposite angle isosceles triangle less Let ABC meet middle point obtuse angle opposite sides parallel straight lines parallelogram perpendicular point equidistant Prob produced quadrilateral radius rectangle contained rectangle whose base right angles right-angled triangle shew side AB side AC side DF sides equal square on AC squares on AB straight angle straight line drawn Theorem trapezium triangle ABC triangle DEF triangles are identically twice the rectangle vertex
Δημοφιλή αποσπάσματα
Σελίδα 27 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Σελίδα 70 - 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.
Σελίδα 56 - ... is equal to twice as many right angles as the polygon
Σελίδα 101 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Σελίδα 35 - Any two sides of a triangle are together greater than the third side.
Σελίδα 26 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
Σελίδα 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 85 - The locus of a point at a given distance from a given point is the circumference described from the point with the given distance as radius.
Σελίδα 42 - 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.
Σελίδα 110 - Iff a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.