A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 17
... angles are not right angles . 33. A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 34. Any four - sided figure is called a Quadrilateral . 35 ...
... angles are not right angles . 33. A rhomboid is that which has its opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 34. Any four - sided figure is called a Quadrilateral . 35 ...
Página 18
... right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
... right angles are equal to one another . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
Página 29
... angles having their sides which are terminated in one extremity of the base equal to one another , and like- wise ... right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle BOOK I. 8 . 29.
... angles having their sides which are terminated in one extremity of the base equal to one another , and like- wise ... right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle BOOK I. 8 . 29.
Página 30
... angles . 1 . Let BAC be the given recti- lineal angle . It is required to bisect it . 2 . Take any point D in AB ... right angles . [ See fig . to the prop . ] 2. If the triangles were described on the same side of the base would the ...
... angles . 1 . Let BAC be the given recti- lineal angle . It is required to bisect it . 2 . Take any point D in AB ... right angles . [ See fig . to the prop . ] 2. If the triangles were described on the same side of the base would the ...
Página 31
... angle of an isosceles triangle also bisects the base at right angles . PROPOSITION 11 . PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be 1. the given straight line ...
... angle of an isosceles triangle also bisects the base at right angles . PROPOSITION 11 . PROBLEM . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be 1. the given straight line ...
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A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Sin vista previa disponible - 2015 |
Términos y frases comunes
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle EDF angle equal angles are equal angles CEA axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid exterior angle fore four right angles given point given rectilineal angle given straight line gnomon half a right hypotenuse interior and opposite isosceles triangle join less Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop quadrilateral rectangle AC rectangle contained remaining angle rhombus right angles right-angled triangle shew side BC sides equal square described square on AC THEOREM third angle triangle ABC triangle DEF truths twice the rectangle unequal