A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 18
... double of the same are equal to one another . 7. Things which are halves of the same are equal to one another . 8. Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . 9 ...
... double of the same are equal to one another . 7. Things which are halves of the same are equal to one another . 8. Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . 9 ...
Página 45
... Ex . 1. Show how to make an angle double of a given angle . 2. Construct a triangle , having given two of its sides and the angle included by them . PROPOSITION 24. THEOREM . If two triangles have two sides BOOK I. 23 . 45.
... Ex . 1. Show how to make an angle double of a given angle . 2. Construct a triangle , having given two of its sides and the angle included by them . PROPOSITION 24. THEOREM . If two triangles have two sides BOOK I. 23 . 45.
Página 63
... double of the B triangle BDC ; [ I. 34. ] and they are therefore equal to one another . [ Ax . 6. ] D E A WW E D F B C B But if the sides AD , EF , opposite to the base 36 . BC of the parallelograms ABCD , EBCF be not terminated in the ...
... double of the B triangle BDC ; [ I. 34. ] and they are therefore equal to one another . [ Ax . 6. ] D E A WW E D F B C B But if the sides AD , EF , opposite to the base 36 . BC of the parallelograms ABCD , EBCF be not terminated in the ...
Página 69
... double of the triangle AEC . But the parallelogram FECG is also double of the triangle AEC , because they are on the same base EC , and between the same parallels EC . AG . [ I. 41. ] Therefore the parallelogram FECG is equal to the ...
... double of the triangle AEC . But the parallelogram FECG is also double of the triangle AEC , because they are on the same base EC , and between the same parallels EC . AG . [ I. 41. ] Therefore the parallelogram FECG is equal to the ...
Página 93
... double of the square on half the line and of the square on the line between the points of section . Let the straight line AB be divided into two equal parts at the point C , and into two unequal parts at the point D : the squares on AD ...
... double of the square on half the line and of the square on the line between the points of section . Let the straight line AB be divided into two equal parts at the point C , and into two unequal parts at the point D : the squares on AD ...
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