The elements of plane geometry, Bind 1 |
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Resultater 1-5 af 14
Side 58
... ABCD be a parallelogram : A B then shall any two adjoining angles , as ABC , BCD be supple- mentary , and any two opposite angles as ABC , CDA equal . Because the straight line BC meets the parallel straight lines BA , CD , therefore ...
... ABCD be a parallelogram : A B then shall any two adjoining angles , as ABC , BCD be supple- mentary , and any two opposite angles as ABC , CDA equal . Because the straight line BC meets the parallel straight lines BA , CD , therefore ...
Side 59
... ABCD be a parallelogram , having the diagonal AC : C then shall the side AB be equal to the side CD , the side BC to the side DA , and the triangle ABC identically equal to the triangle CDA . Because AC meets the parallel straight lines ...
... ABCD be a parallelogram , having the diagonal AC : C then shall the side AB be equal to the side CD , the side BC to the side DA , and the triangle ABC identically equal to the triangle CDA . Because AC meets the parallel straight lines ...
Side 60
... ABCD , EFGH be two parallelograms having the angle ABC equal to the angle EFG , and two adjoining sides of the parallelogram ABCD equal to two adjoining sides of the parallelo- gram EFGH : A E ロロ B F C H then shall the parallelogram ...
... ABCD , EFGH be two parallelograms having the angle ABC equal to the angle EFG , and two adjoining sides of the parallelogram ABCD equal to two adjoining sides of the parallelo- gram EFGH : A E ロロ B F C H then shall the parallelogram ...
Side 61
... ABCD are equal to the two adjoining sides that contain the angle EFG of the parallelogram EFGH , each to each . Apply the parallelogram ABCD to the parallelogram EFGH , so that B may fall on F , and BC along the side which is equal to ...
... ABCD are equal to the two adjoining sides that contain the angle EFG of the parallelogram EFGH , each to each . Apply the parallelogram ABCD to the parallelogram EFGH , so that B may fall on F , and BC along the side which is equal to ...
Side 62
... ABCD have the opposite sides AD and BC equal and parallel : B then shall ABCD be a parallelogram . Join AC . Then because AC meets the parallel straight lines AD , BC , therefore the angle CAD is equal to the alternate angle ACB . Hence ...
... ABCD have the opposite sides AD and BC equal and parallel : B then shall ABCD be a parallelogram . Join AC . Then because AC meets the parallel straight lines AD , BC , therefore the angle CAD is equal to the alternate angle ACB . Hence ...
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Almindelige termer og sætninger
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 passager
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.