A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 15
Trilateral figures , or triangles , by three straight lines . 22. Quadrilateral figures by four straight ... Of three - sided figures an equilateral triangle is that which has three equal sides . 25. An isosceles triangle is that which ...
Trilateral figures , or triangles , by three straight lines . 22. Quadrilateral figures by four straight ... Of three - sided figures an equilateral triangle is that which has three equal sides . 25. An isosceles triangle is that which ...
Página 23
The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another . 1 . Let ABC be an isosceles triangle , having the ...
The angles at the base of an isosceles triangle are equal to one another ; and if the equal sides be produced the angles on the other side of the base shall be equal to one another . 1 . Let ABC be an isosceles triangle , having the ...
Página 30
Take any point D in AB , 2 . and from AC cut off AE equal to AD [ I. 3 ] ; join DE , and on DE on E the side remote from A describe the equilateral triangle DEF . ( 1. 1. ] Join AF . The straight line AF shall bisect the angle BAC . 3 .
Take any point D in AB , 2 . and from AC cut off AE equal to AD [ I. 3 ] ; join DE , and on DE on E the side remote from A describe the equilateral triangle DEF . ( 1. 1. ] Join AF . The straight line AF shall bisect the angle BAC . 3 .
Página 31
Describe on it an equilateral triangle ABC [ I. 1 ] , and bisect the angle ACB by the straight line CD . [ I. 9. ] AB shall be cut into two equal A parts at the point D. Because AC is equal to CB [ Def . 24 ] , and CD is common to the ...
Describe on it an equilateral triangle ABC [ I. 1 ] , and bisect the angle ACB by the straight line CD . [ I. 9. ] AB shall be cut into two equal A parts at the point D. Because AC is equal to CB [ Def . 24 ] , and CD is common to the ...
Página 39
Let ABC be any triangle : any two of its angles 1 . are together less than two right angles . Produce BC to 2. D. 3 Then because ACD is the exterior ... angles of an isosceles triangle must be both acute . PROPOSITION 18. THEOREM .
Let ABC be any triangle : any two of its angles 1 . are together less than two right angles . Produce BC to 2. D. 3 Then because ACD is the exterior ... angles of an isosceles triangle must be both acute . PROPOSITION 18. THEOREM .
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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
ABCD AC is equal angle ABC angle ACB angle BAC angle BCD angle EDF angle equal apply axioms base BC bisect BOOK called centre circle coincide common Const construction definitions demonstration describe diagonals diameter difference divided double draw drawn equal sides equilateral triangle Euclid exercise exterior angle fall figure fore geometry given point given rectilineal given straight line gnomon greater half Hence isosceles triangle join length less Let ABC meet method namely opposite angle opposite sides parallel parallel to CD parallelogram perpendicular PROBLEM produced prop PROPOSITION proved quadrilateral reason rectangle contained rectilineal figure result right angles side BC sides square on AC Take THEOREM things triangle ABC true truths twice the rectangle unequal units whole
Información bibliográfica
| Título | A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
| Autor | Euclides |
| Editor | Charles MANSFORD |
| Publicado | 1874 |
| Procedencia del original | Biblioteca Británica |
| Digitalizado | 27 Nov. 2020 |
| Exportar cita | BiBTeX EndNote RefMan |