A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página ix
... theorems or problems . The former propose something which is to be proved , the latter something to be done , as for example : " Any two sides of a triangle are together greater than the third side , " and " To bisect a given finite ...
... theorems or problems . The former propose something which is to be proved , the latter something to be done , as for example : " Any two sides of a triangle are together greater than the third side , " and " To bisect a given finite ...
Página x
... theorem or the solution of the problem . Lastly comes the demonstration , which shows by a connected course of reasoning that the statement contained in the proposition is true , or that the problem proposed has been solved . The ...
... theorem or the solution of the problem . Lastly comes the demonstration , which shows by a connected course of reasoning that the statement contained in the proposition is true , or that the problem proposed has been solved . The ...
Página 21
... description of five circles . The reason of this is also explained on p . 8 . Ex . Show how to produce the less of two lines until it is equal to the greater . PROPOSITION 4. THEOREM . If two triangles have two sides BOOK I. 3 . 21.
... description of five circles . The reason of this is also explained on p . 8 . Ex . Show how to produce the less of two lines until it is equal to the greater . PROPOSITION 4. THEOREM . If two triangles have two sides BOOK I. 3 . 21.
Página 22
Euclides Charles MANSFORD. PROPOSITION 4. THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have ...
Euclides Charles MANSFORD. PROPOSITION 4. THEOREM . If two triangles have two sides of the one equal to two sides of the other , each to each , and have also the angles contained by those sides equal to one another , they shall also have ...
Página 23
... theorem . The method of proof here employed is called proof by ' superposition . ' Note how carefully Euclid fits one triangle upon the other . First he shows that AB exactly coincides with DE . Next , that the angle BAC coincides with ...
... theorem . The method of proof here employed is called proof by ' superposition . ' Note how carefully Euclid fits one triangle upon the other . First he shows that AB exactly coincides with DE . Next , that the angle BAC coincides with ...
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