The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Side 5
... meet a steadily continuing demand , a new edition has been published . It was felt , however , by many members of the Association , that in order to secure for the Syllabus more general consideration and acceptance , it was desirable ...
... meet a steadily continuing demand , a new edition has been published . It was felt , however , by many members of the Association , that in order to secure for the Syllabus more general consideration and acceptance , it was desirable ...
Side 16
... meet in one point cannot meet again unless they coincide . SECTION I. ANGLES AT A POINT . [ An angle is a simple concept incapable of definition , properly so - called , but the nature of the concept may be explained as follows , and ...
... meet in one point cannot meet again unless they coincide . SECTION I. ANGLES AT A POINT . [ An angle is a simple concept incapable of definition , properly so - called , but the nature of the concept may be explained as follows , and ...
Side 36
... meet AC at E. Then BA and AE are together greater than BE , to each of these add EC , 1. 13 . then BA and AC are together greater than BE and EC ; Ax . f . again , DE and EC are together greater than DC 36 THE ELEMENTS OF PLANE GEOMETRY .
... meet AC at E. Then BA and AE are together greater than BE , to each of these add EC , 1. 13 . then BA and AC are together greater than BE and EC ; Ax . f . again , DE and EC are together greater than DC 36 THE ELEMENTS OF PLANE GEOMETRY .
Side 40
... bisects the angle FDC ' meet EF at G , join C'G . Then , in the triangles C'DG , FDG , the side C'D is equal to the side DF , the side DG is common to both , and the angle C'DG is equal to the angle FDG 40 THE ELEMENTS OF PLANE GEOMETRY .
... bisects the angle FDC ' meet EF at G , join C'G . Then , in the triangles C'DG , FDG , the side C'D is equal to the side DF , the side DG is common to both , and the angle C'DG is equal to the angle FDG 40 THE ELEMENTS OF PLANE GEOMETRY .
Side 48
... meet in a point which is equidistant from the vertices of the triangle . * 33 . The bisectors of the angles of a triangle meet in a point which is equidistant from the sides of the triangle . * 34 . The bisectors of an angle of a ...
... meet in a point which is equidistant from the vertices of the triangle . * 33 . The bisectors of the angles of a triangle meet in a point which is equidistant from the sides of the triangle . * 34 . The bisectors of an angle of a ...
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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.