The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
Inni boken
Resultat 1-5 av 38
Side 25
... triangles be identically equal , having the side BC equal to the side EF , the angle ACB to the angle DFE , and the angle ABC to the angle DEF . Let the triangle ABC be applied to the triangle DEF , so that the point A may fall on the ...
... triangles be identically equal , having the side BC equal to the side EF , the angle ACB to the angle DFE , and the angle ABC to the angle DEF . Let the triangle ABC be applied to the triangle DEF , so that the point A may fall on the ...
Side 26
... triangle ABC will coincide with the triangle DEF , and is therefore identically equal to it , Ax . I. the side BC equal to the side EF , the angle ACB to the angle DFF , and the angle ABC to the angle DEF . Q.E.D. Ex . 4. The straight ...
... triangle ABC will coincide with the triangle DEF , and is therefore identically equal to it , Ax . I. the side BC equal to the side EF , the angle ACB to the angle DFF , and the angle ABC to the angle DEF . Q.E.D. Ex . 4. The straight ...
Side 27
... ABC , DEF be two triangles having the angle ABC 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 ... triangle ABC will coincide with the triangle DEF TRIANGLES . 27.
... ABC , DEF be two triangles having the angle ABC 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 ... triangle ABC will coincide with the triangle DEF TRIANGLES . 27.
Side 28
... triangle is also perpendi- cular to the opposite side , the triangle is isosceles . THEOR . 7. If two sides of a triangle are equal , the angles opposite to those sides are equal . Let ABC be a triangle having the side AB equal to the ...
... triangle is also perpendi- cular to the opposite side , the triangle is isosceles . THEOR . 7. If two sides of a triangle are equal , the angles opposite to those sides are equal . Let ABC be a triangle having the side AB equal to the ...
Side 29
... triangle is equilateral , it is also equiangular . Q.E.D. Ex . 11. Prove Theor . 7 by comparing the triangles into ... ABC be a triangle having the angle ABC equal to the angle ACB : да then shall the side AC be equal to the side AB ...
... triangle is equilateral , it is also equiangular . Q.E.D. Ex . 11. Prove Theor . 7 by comparing the triangles into ... ABC be a triangle having the angle ABC equal to the angle ACB : да then shall the side AC be equal to the side AB ...
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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.