A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 25
... equilateral triangle is also equiangular . If the pupil finds serious difficulty in mastering this proposi- tion , it will probably be a help to distinguish the triangles spoken of by shading . Or two figures may be drawn , one to show ...
... equilateral triangle is also equiangular . If the pupil finds serious difficulty in mastering this proposi- tion , it will probably be a help to distinguish the triangles spoken of by shading . Or two figures may be drawn , one to show ...
Página 26
... triangle is also equilateral . If the hypothesis and predicate of a proposition be made to change places , the resulting proposition is called the ' converse ' of the one from which it is thus derived . Propositions 5 and 6 may be thus ...
... triangle is also equilateral . If the hypothesis and predicate of a proposition be made to change places , the resulting proposition is called the ' converse ' of the one from which it is thus derived . Propositions 5 and 6 may be thus ...
Página 30
... equilateral triangle DEF . [ I. 1. ] Join AF . The straight line AF shall bi- sect the angle BAC . 3 . Because AD is equal to AE [ Con . ] , and AF is common to A the two triangles DAF , EAF , the two sides DA , AF are equal to the two ...
... equilateral triangle DEF . [ I. 1. ] Join AF . The straight line AF shall bi- sect the angle BAC . 3 . Because AD is equal to AE [ Con . ] , and AF is common to A the two triangles DAF , EAF , the two sides DA , AF are equal to the two ...
Página 32
... equilateral triangle DFE [ I . 1 ] , and join CF. The straight line CF drawn from the given point CA shall be at right angles to the given straight line AB . B Because DC is equal to CE [ Con . ] , and FC is 3 . common to the two triangles ...
... equilateral triangle DFE [ I . 1 ] , and join CF. The straight line CF drawn from the given point CA shall be at right angles to the given straight line AB . B Because DC is equal to CE [ Con . ] , and FC is 3 . common to the two triangles ...
Página 74
... equilateral . Therefore it is a square . [ Def . 30. ] And it is described on the given straight line AB . Therefore ... triangle 74 EUCLID'S ELEMENTS .
... equilateral . Therefore it is a square . [ Def . 30. ] And it is described on the given straight line AB . Therefore ... triangle 74 EUCLID'S ELEMENTS .
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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