A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Página 14
... angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute ...
... angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute ...
Página 16
... angle . 28. An obtuse - angled triangle is that which has an obtuse angle . 29. An acute - angled triangle is that which has three acute angles . 30. Of four - sided figures , a square is that which has all its sides equal , and all its ...
... angle . 28. An obtuse - angled triangle is that which has an obtuse angle . 29. An acute - angled triangle is that which has three acute angles . 30. Of four - sided figures , a square is that which has all its sides equal , and all its ...
Página 22
... equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one ... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF ...
... equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one ... angle BAC equal to the angle EDF , the base BC shall be equal to the base EF , and the triangle ABC to the triangle DEF ...
Página 23
... equal to it . [ Ax . 8. ] Therefore the whole triangle ABC coincides with the whole triangle DEF , and is equal to ... angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles , & c . Q.E.D. = The ...
... equal to it . [ Ax . 8. ] Therefore the whole triangle ABC coincides with the whole triangle DEF , and is equal to ... angle ABC to the angle DEF , and the angle ACB to the angle DFE . Therefore , if two triangles , & c . Q.E.D. = The ...
Página 24
... equal to AF the less , [ I.3 . ] and join FC , GB . Because A Fis equal 3. to AG , [ Con . ] and AB to AC , [ Hyp . ] the two sides FA , AC are equal to the two sides GA , AB , each to each ; and they contain the angle FAG common to the ...
... equal to AF the less , [ I.3 . ] and join FC , GB . Because A Fis equal 3. to AG , [ Con . ] and AB to AC , [ Hyp . ] the two sides FA , AC are equal to the two sides GA , AB , each to each ; and they contain the angle FAG common to the ...
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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