A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
Dentro del libro
Resultados 1-5 de 13
Página 14
... perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of any thing . 14. A figure is that which is ...
... perpendicular to it . 11. An obtuse angle is that which is greater than a right angle . 12. An acute angle is that which is less than a right angle . 13. A term or boundary is the extremity of any thing . 14. A figure is that which is ...
Página 32
... perpendicular to a given straight line of unlimited length , from a given point without it . 1 . Let AB be the given straight line , which may be produced to any length both ways , and let C be a given point without it . It is required ...
... perpendicular to a given straight line of unlimited length , from a given point without it . 1 . Let AB be the given straight line , which may be produced to any length both ways , and let C be a given point without it . It is required ...
Página 33
... perpendicular to AB . 2 . Take any point D on the other side of AB , and from the centre C , at the distance CD , describe A H the circle EGF , meeting AB in F and G. [ Post . 3. ] Bisect FG in H [ I. 10 ] , and join CH . The straight ...
... perpendicular to AB . 2 . Take any point D on the other side of AB , and from the centre C , at the distance CD , describe A H the circle EGF , meeting AB in F and G. [ Post . 3. ] Bisect FG in H [ I. 10 ] , and join CH . The straight ...
Página 34
... perpendicular to AB . Join EG and DG . The proof is identical with exercise 2 to prop . 9 . Ex . From a given point to draw a straight line equally inclined to two given straight lines which cut one another . [ See Ex . to last two ...
... perpendicular to AB . Join EG and DG . The proof is identical with exercise 2 to prop . 9 . Ex . From a given point to draw a straight line equally inclined to two given straight lines which cut one another . [ See Ex . to last two ...
Página 39
... perpendicular can be drawn from the same point to the same straight line . 3 . The equal angles of an isosceles triangle must be both acute . PROPOSITION 18. THEOREM . The greater side of every triangle is opposite to the greater angle ...
... perpendicular can be drawn from the same point to the same straight line . 3 . The equal angles of an isosceles triangle must be both acute . PROPOSITION 18. THEOREM . The greater side of every triangle is opposite to the greater angle ...
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