The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Resultat 1-5 av 17
Side 30
... interior opposite angles . Let ABC be a triangle having the side BC produced to D : E 4 . B then shall the exterior angle ACD be greater than either of the interior opposite angles BAC , ABC . Let E be the middle point of AC ; join BE ...
... interior opposite angles . Let ABC be a triangle having the side BC produced to D : E 4 . B then shall the exterior angle ACD be greater than either of the interior opposite angles BAC , ABC . Let E be the middle point of AC ; join BE ...
Side 32
... interior opposite angle ABC , I. 9 . to each add the angle ACB , then the angles ACD , ACB are together greater than the angles АВС , АСВ ; Ax . f . but the angles ACD , ACB are together equal to two right angles , I. 2 . therefore the ...
... interior opposite angle ABC , I. 9 . to each add the angle ACB , then the angles ACD , ACB are together greater than the angles АВС , АСВ ; Ax . f . but the angles ACD , ACB are together equal to two right angles , I. 2 . therefore the ...
Side 33
... interior opposite angle ABC , therefore the angle ACD is greater than the angle ABC ; still more then is the angle ACB greater than the angle ABC . Ex . 15. Prove Theor . 8 by means of Theor . II . I. 9 . Q.E.D. D THEOR 12. If two ...
... interior opposite angle ABC , therefore the angle ACD is greater than the angle ABC ; still more then is the angle ACB greater than the angle ABC . Ex . 15. Prove Theor . 8 by means of Theor . II . I. 9 . Q.E.D. D THEOR 12. If two ...
Side 37
... interior opposite angle DEC ; I. 9 . and the angle DEC , being an exterior angle of the triangle BAE , is greater than the angle BAC , still more then is the angle BDC greater than the angle BAC . Q.E.D. Ex . 21. If a point O be taken ...
... interior opposite angle DEC ; I. 9 . and the angle DEC , being an exterior angle of the triangle BAE , is greater than the angle BAC , still more then is the angle BDC greater than the angle BAC . Q.E.D. Ex . 21. If a point O be taken ...
Side 38
... triangle AGE , the angle AEG , being an exterior angle of the triangle AED , is greater than the interior opposite angle ADE , 1. 9 . and is therefore an obtuse angle , and therefore AGE 38 THE ELEMENTS OF PLANE GEOMETRY .
... triangle AGE , the angle AEG , being an exterior angle of the triangle AED , is greater than the interior opposite angle ADE , 1. 9 . and is therefore an obtuse angle , and therefore AGE 38 THE ELEMENTS OF PLANE GEOMETRY .
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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.