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
... 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 straight line ...
... 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 straight line ...
Página x
... 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 following , therefore , exhibits 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 following , therefore , exhibits the ...
Página 18
... . All right angles are equal to one another . 11 . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
... . All right angles are equal to one another . 11 . 12. Two straight lines which cut one another cannot both be parallel to a third straight line . PROPOSITION 1. PROBLEM . To describe an equilateral triangle on 18 EUCLID'S ELEMENTS .
Página 19
Euclides Charles MANSFORD. PROPOSITION 1. PROBLEM . To describe an equilateral triangle on a given finite straight line . 1 . 2 . Let AB be the given straight line . It is required to ... PROBLEM . From a given point to draw BOOK I. 1 . 19.
Euclides Charles MANSFORD. PROPOSITION 1. PROBLEM . To describe an equilateral triangle on a given finite straight line . 1 . 2 . Let AB be the given straight line . It is required to ... PROBLEM . From a given point to draw BOOK I. 1 . 19.
Página 20
Euclides Charles MANSFORD. PROPOSITION 2. PROBLEM . From a given point to draw a straight line equal to a given straight ... problem admits of eight cases in the figure . 1. The given point may be joined with either extremity of the given ...
Euclides Charles MANSFORD. PROPOSITION 2. PROBLEM . From a given point to draw a straight line equal to a given straight ... problem admits of eight cases in the figure . 1. The given point may be joined with either extremity of the given ...
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