A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford |
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Página 35
For if the angle CBA is equal to the angle ABD , each of them is a right angle . ... two other straight lines , on the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall ...
For if the angle CBA is equal to the angle ABD , each of them is a right angle . ... two other straight lines , on the opposite sides of it , make the adjacent angles together equal to two right angles , these two straight lines shall ...
Página 36
At the point B in the straight line AB , let the two straight lines BC , BD , on the opposite sides of AB , make the adjacent angles ABC , ABD together equal to two right angles : BD shall be in the same straight line with CB .
At the point B in the straight line AB , let the two straight lines BC , BD , on the opposite sides of AB , make the adjacent angles ABC , ABD together equal to two right angles : BD shall be in the same straight line with CB .
Página 37
If two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two 1 . straightlines E AB , CD cut one A another in the point E ; the angle AEC D shall be equal to the angle DEB , and the angle CEB ...
If two straight lines cut one another , the vertical , or opposite , angles shall be equal . Let the two 1 . straightlines E AB , CD cut one A another in the point E ; the angle AEC D shall be equal to the angle DEB , and the angle CEB ...
Página 38
If one side of a triangle be produced , the exterior angle shall be greater than either of the interior opposite angles . 1 . Let ABC be a triangle , and let one side BC be produced to D : the exterior angle ACD shall be greater than ...
If one side of a triangle be produced , the exterior angle shall be greater than either of the interior opposite angles . 1 . Let ABC be a triangle , and let one side BC be produced to D : the exterior angle ACD shall be greater than ...
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 angle of the triangle ABC , it is greater than the interior and D opposite angle ABC .
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 angle of the triangle ABC , it is greater than the interior and D opposite angle ABC .
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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 |