A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 14
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 19. A ...
... diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 18. A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter . 19. A ...
Página 62
... diameter bisects them . For AB being equal to CD , and BC common , the two sides AB , BC are equal to the two sides DC , CB , each to each ; and the angle ABC has been proved equal to the angle BCD ; therefore the triangle ABC is equal ...
... diameter bisects them . For AB being equal to CD , and BC common , the two sides AB , BC are equal to the two sides DC , CB , each to each ; and the angle ABC has been proved equal to the angle BCD ; therefore the triangle ABC is equal ...
Página 65
... diameter AB bisects it ; [ I. 34. ] and the triangle DBC is half of the parallelogram DBCF , because the diameter DC bisects it . [ I. 34. ] But the 1 halves of equal things are equal . [ Ax BOOK I. 37 . 65.
... diameter AB bisects it ; [ I. 34. ] and the triangle DBC is half of the parallelogram DBCF , because the diameter DC bisects it . [ I. 34. ] But the 1 halves of equal things are equal . [ Ax BOOK I. 37 . 65.
Página 66
... diameter AB bisects it ; [ I. 34. ] and the triangle DEF is half of the parallelogram DEFH , because the diameter DF bisects it . But the halves of equal things are equal . [ Ax . 7. ] Therefore the triangle ABC is equal to the triangle ...
... diameter AB bisects it ; [ I. 34. ] and the triangle DEF is half of the parallelogram DEFH , because the diameter DF bisects it . But the halves of equal things are equal . [ Ax . 7. ] Therefore the triangle ABC is equal to the triangle ...
Página 71
... diameter is HK ; and AG , ME are parallelograms about HK ; and LB , BF are the complements . Therefore LB is equal to BF . [ I. 43. ] But BF is equal to the triangle C. [ Const . ] Therefore LB is equal to the triangle C. [ Ax . 1. And ...
... diameter is HK ; and AG , ME are parallelograms about HK ; and LB , BF are the complements . Therefore LB is equal to BF . [ I. 43. ] But BF is equal to the triangle C. [ Const . ] Therefore LB is equal to the triangle C. [ Ax . 1. And ...
Otras ediciones - Ver todas
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... Euclides Vista completa - 1874 |
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 CBA axioms base BC BC is equal 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 Let ABC Let the straight obtuse opposite angle opposite sides parallel to CD parallelogram parallelogram ABCD perpendicular produced prop PROPOSITION 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