The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Side 25
... equal , then the triangles are identically equal , and of the angles those are equal which are opposite to the equal sides . Let ABC , DEF be two triangles having the side AB equal to the side DE , the side AC to the side DF , and the ...
... equal , then the triangles are identically equal , and of the angles those are equal which are opposite to the equal sides . Let ABC , DEF be two triangles having the side AB equal to the side DE , the side AC to the side DF , and the ...
Side 26
... equal to the angle EDF , Hyp . and , AC falling along DF , C will fall on F , since AC is equal to DF . Hyp . Hence , B falling on E , and C on F , BC will coincide with Ax . 2 . EF , and the triangle ABC will coincide with the triangle ...
... equal to the angle EDF , Hyp . and , AC falling along DF , C will fall on F , since AC is equal to DF . Hyp . Hence , B falling on E , and C on F , BC will coincide with Ax . 2 . EF , and the triangle ABC will coincide with the triangle ...
Side 27
... equal to the angle DEF , the angle ACB to the angle DFE , and the side BC to the side EF : A E then shall the triangles be identically equal , having the angle BAC equal to the angle EDF , the side AC to the side DF , and the side AB to ...
... equal to the angle DEF , the angle ACB to the angle DFE , and the side BC to the side EF : A E then shall the triangles be identically equal , having the angle BAC equal to the angle EDF , the side AC to the side DF , and the side AB to ...
Side 28
... equal , the angles opposite to those sides are equal . Let ABC be a triangle having the side AB equal to the side AC : A A B ' then shall the angle ACB be equal to the angle ABC . Let A'B'C ' be a triangle identically equal to the ...
... equal , the angles opposite to those sides are equal . Let ABC be a triangle having the side AB equal to the side AC : A A B ' then shall the angle ACB be equal to the angle ABC . Let A'B'C ' be a triangle identically equal to the ...
Side 29
... equal to the angle A'B'C ' , which is opposite to the side A'C ' , I. 5 . that is , the angle ACB is equal to the ... AC be equal to the side AB . Let A'B'C ' be a triangle identically equal to the triangle ABC , the points A ' , B ' , C ...
... equal to the angle A'B'C ' , which is opposite to the side A'C ' , I. 5 . that is , the angle ACB is equal to the ... AC be equal to the side AB . Let A'B'C ' be a triangle identically equal to the triangle ABC , the points A ' , B ' , C ...
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The Elements of Plane Geometry Association for the Improvement of Geometrical Teaching Uten tilgangsbegrensning - 1903 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 101 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Side 35 - Any two sides of a triangle are together greater than the third side.
Side 26 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
Side 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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.
Side 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.
Side 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.