The Elements of Plane Geometry ...W.S. Sonnenschein and Company, 1884 |
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Página 58
... ABCD be a parallelogram : Α 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 the ...
... ABCD be a parallelogram : Α 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 the ...
Página 59
... ABCD be a parallelogram , having the diagonal AC : D 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 : D 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 ...
Página 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 H ロロ B then shall the parallelogram ABCD ...
... 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 H ロロ B then shall the parallelogram ABCD ...
Página 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 ...
Página 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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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 56 - ... is equal to twice as many right angles as the polygon
Página 101 - Prove that parallelograms on the same base and between the same parallels are equal in area.
Página 35 - Any two sides of a triangle are together greater than the third side.
Página 26 - The lines drawn from the extremities of the base of an isosceles triangle to the middle points of the opposite sides are equal.
Página 70 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 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.
Página 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.
Página 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.