A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 19
... meaning which was to be done , and are usually added at the close of a problem . Ex . Describe a rhombus whose sides shall each of them be equal to one of its diagonals . PROPOSITION 2. PROBLEM . From a given point to draw BOOK I. 1 . 19.
... meaning which was to be done , and are usually added at the close of a problem . Ex . Describe a rhombus whose sides shall each of them be equal to one of its diagonals . PROPOSITION 2. PROBLEM . From a given point to draw BOOK I. 1 . 19.
Página 23
... diagonal are equal to one another . 2. The diagonals of a square are equal to one another . PROPOSITION 5. THEOREM . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the ...
... diagonal are equal to one another . 2. The diagonals of a square are equal to one another . PROPOSITION 5. THEOREM . The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the ...
Página 25
... diagonal . ] PROPOSITION 6. THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another . 1 . Let ABC be a triangle , having the ...
... diagonal . ] PROPOSITION 6. THEOREM . If two angles of a triangle be equal to one another , the sides also which subtend , or are opposite to , the equal angles , shall be equal to one another . 1 . Let ABC be a triangle , having the ...
Página 29
... diagonal of a rhombus bisects each of the angles through which it passes . Hence show that 2. The diagonals of a square bisect each other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle BOOK ...
... diagonal of a rhombus bisects each of the angles through which it passes . Hence show that 2. The diagonals of a square bisect each other at right angles . [ Prop . 4. ] PROPOSITION 9. PROBLEM . To bisect a given rectilineal angle BOOK ...
Página 42
... diagonals . PROPOSITION 21. THEOREM . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a ...
... diagonals . PROPOSITION 21. THEOREM . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a ...
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