The Elements of Euclid for the Use of Schools and CollegesMacmillan, 1872 - 400 Seiten |
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... parallelogram . The words square and rhombus are used in the sense defined by Euclid ; and the word rectangle is used instead of the word oblong . Some writers propose to restrict the word trapezium to a quadrilateral which has two of ...
... parallelogram . The words square and rhombus are used in the sense defined by Euclid ; and the word rectangle is used instead of the word oblong . Some writers propose to restrict the word trapezium to a quadrilateral which has two of ...
Seite 37
... parallelogram are equal to one another , and the diameter bisects the par- allelogram , that is , divides it into two equal parts . Note . A parallelogram is a four - sided figure of which the opposite sides are parallel ; and a ...
... parallelogram are equal to one another , and the diameter bisects the par- allelogram , that is , divides it into two equal parts . Note . A parallelogram is a four - sided figure of which the opposite sides are parallel ; and a ...
Seite 38
... parallelogram are equal to one another . Also the diameter bisects the parallelogram . For AB being equal to CD , and BC common , the two sides AB , BƠ are equal to the two sides DC , CB each to each ; and the angle ABC has been shewn ...
... parallelogram are equal to one another . Also the diameter bisects the parallelogram . For AB being equal to CD , and BC common , the two sides AB , BƠ are equal to the two sides DC , CB each to each ; and the angle ABC has been shewn ...
Seite 39
... parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be terminated at the same point D , it is plain that each of the parallelograms is double of the triangle BDC ; B and they are ...
... parallelogram EBCF . If the sides AD , DF of the parallelograms ABCD , DBCF , opposite to the base BC , be terminated at the same point D , it is plain that each of the parallelograms is double of the triangle BDC ; B and they are ...
Seite 40
... parallelogram ABCD shall be equal to the parallelogram EFGH . Join BE , CH . Then , because BC is equal to FG , [ Hyp . and FG to EH , [ I. 34 . Ꭰ E H BC is equal to EH ; [ Axiom 1 . F G and they are parallels , [ Hypothesis . and ...
... parallelogram ABCD shall be equal to the parallelogram EFGH . Join BE , CH . Then , because BC is equal to FG , [ Hyp . and FG to EH , [ I. 34 . Ꭰ E H BC is equal to EH ; [ Axiom 1 . F G and they are parallels , [ Hypothesis . and ...
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Häufige Begriffe und Wortgruppen
ABCD AC is equal angle ABC angle ACB angle BAC angle EDF angles equal Axiom base BC bisects the angle centre chord circle ABC circle described circumference Construction Corollary describe a circle diameter double draw a straight equal angles equal to F equiangular equilateral equimultiples Euclid Euclid's Elements exterior angle given circle given point given straight line gnomon Hypothesis inscribed intersect isosceles triangle less Let ABC magnitudes middle point multiple opposite angles opposite sides parallelogram perpendicular plane polygon produced proportionals PROPOSITION 13 Q.E.D. PROPOSITION quadrilateral radius rectangle contained rectilineal figure remaining angle rhombus right angles right-angled triangle segment shew shewn side BC square on AC straight line &c straight line drawn tangent THEOREM touches the circle triangle ABC triangle DEF twice the rectangle vertex Wherefore