The elements of plane geometry, Volum 1 |
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Resultat 1-5 av 12
Side 25
... angle contained by those sides is called the vertical angle , the third side the base . THEOR . 5. If two triangles ... EDF : AAA E E then shall the triangles be identically equal , having the side BC equal to the side EF , the angle ACB ...
... angle contained by those sides is called the vertical angle , the third side the base . THEOR . 5. If two triangles ... EDF : AAA E E then shall the triangles be identically equal , having the side BC equal to the side EF , the angle ACB ...
Side 26
Mathematical association. AC will fall along DF , since the angle BAC is 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 ...
Mathematical association. AC will fall along DF , since the angle BAC is 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 ...
Side 27
... angle DEF , the angle ACB to the angle DFE , and the side BC to the side EF : E then shall the triangles be identically equal , having the angle BAC equal to the angle EDF ... angle CBA is equal to the angle FED , Hyp . and CA will fall along ...
... angle DEF , the angle ACB to the angle DFE , and the side BC to the side EF : E then shall the triangles be identically equal , having the angle BAC equal to the angle EDF ... angle CBA is equal to the angle FED , Hyp . and CA will fall along ...
Side 28
... angle EDF , the side AC to the side . DF , and the side AB to the side DE . Q.E.D. Ex . 10. If the bisector of an angle of a triangle is also perpendi- cular to the opposite side , the triangle is isosceles . THEOR . 7. If two sides of ...
... angle EDF , the side AC to the side . DF , and the side AB to the side DE . Q.E.D. Ex . 10. If the bisector of an angle of a triangle is also perpendi- cular to the opposite side , the triangle is isosceles . THEOR . 7. If two sides of ...
Side 39
... angle , and AEG is greater than AGE , therefore AG is greater than AE , and therefore is also greater than AF . I ... EDF unequal , EDF being greater than BAC : AA E then shall the base EF be greater than the base BC . Apply the triangle ...
... angle , and AEG is greater than AGE , therefore AG is greater than AE , and therefore is also greater than AF . I ... EDF unequal , EDF being greater than BAC : AA E then shall the base EF be greater than the base BC . Apply the triangle ...
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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 bisector bisects centre circle cutting Constr construct a triangle contrapositive diagonal distance draw a circle equal angles equal to AC equal to CD 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 rectangle contained rectangle whose base right angles right-angled triangle shew side AB side AC sides equal square on AC squares on AB straight line drawn Theorem trapezium triangle ABC 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. either the sides adjacent to the equal...
Side 98 - 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 35 - Any two sides of a triangle are together greater than the third side.
Side 26 - The straight lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal to one another.
Side 37 - Of all the straight lines that can be drawn to a given straight line from a given point outside it, the perpendicular is the shortest.
Side 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
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.
Side 31 - Any two angles of a triangle are together less than two right angles.
Side 115 - In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.