The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
Inni boken
Resultat 1-5 av 14
Side 26
... prove that , if AB is equal to AC , then the angle ADB is equal to the angle ADC . Ex . 8. The straight lines drawn from the extremities of the base of an isosceles triangle to the middle points of the oppo- site sides are equal to one ...
... prove that , if AB is equal to AC , then the angle ADB is equal to the angle ADC . Ex . 8. The straight lines drawn from the extremities of the base of an isosceles triangle to the middle points of the oppo- site sides are equal to one ...
Side 29
... Prove Theor . 7 by comparing the triangles into which the bisector of the vertical angle divides the isosceles triangle . THEOR . 8. If two angles of a triangle are equal , the sides opposite to those angles are equal . Let ABC be a ...
... Prove Theor . 7 by comparing the triangles into which the bisector of the vertical angle divides the isosceles triangle . THEOR . 8. If two angles of a triangle are equal , the sides opposite to those angles are equal . Let ABC be a ...
Side 33
... Prove Theor . 10 by joining the vertex to any point in the base , and using Theor . 9 twice . THEOR . 11. If two sides of a triangle are unequal , the greater side has the greater angle opposite to it . Let ABC be a triangle having the ...
... Prove Theor . 10 by joining the vertex to any point in the base , and using Theor . 9 twice . THEOR . 11. If two sides of a triangle are unequal , the greater side has the greater angle opposite to it . Let ABC be a triangle having the ...
Side 48
... Prove that the perimeter of a triangle is greater than the sum of the straight lines drawn from the vertices to the middle points of the opposite sides . 38. If ABC is a triangle having the side AB less than the side AC , and the ...
... Prove that the perimeter of a triangle is greater than the sum of the straight lines drawn from the vertices to the middle points of the opposite sides . 38. If ABC is a triangle having the side AB less than the side AC , and the ...
Side 57
... Prove Theor . 26 by joining one angular point of the polygon to all the rest . Ex . 46. Shew that each angle of a regular hexagon is equal to a third part of four right angles . Ex . 47. What is the magnitude of each angle of a regular ...
... Prove Theor . 26 by joining one angular point of the polygon to all the rest . Ex . 46. Shew that each angle of a regular hexagon is equal to a third part of four right angles . Ex . 47. What is the magnitude of each angle of a regular ...
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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.