A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes, Exercises and Explanations ... By C. Mansford1874 |
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Página 15
Euclides Charles MANSFORD. 19. A segment of a circle is the figure contained by a straight line and the circumference which its cuts off . 20. Rectilineal figures are those which are contained by straight lines . 21. Trilateral figures ...
Euclides Charles MANSFORD. 19. A segment of a circle is the figure contained by a straight line and the circumference which its cuts off . 20. Rectilineal figures are those which are contained by straight lines . 21. Trilateral figures ...
Página 30
... rectilineal angle BAC is bisected by the straight line AF . Q.E.F. If the equilateral triangle were not described on the side of DE remote from A the point F might fall either , 1. Within the angle BAC , as in the prop . 2. On the point ...
... rectilineal angle BAC is bisected by the straight line AF . Q.E.F. If the equilateral triangle were not described on the side of DE remote from A the point F might fall either , 1. Within the angle BAC , as in the prop . 2. On the point ...
Página 58
... triangle , & c . Q.E.D. COROLLARY I. All the exterior angles of any rectilineal figure are together equal to four right angles . Let ABCD be any rectilineal figure having the 1. exterior angles A , B , C , D , these shall be together ...
... triangle , & c . Q.E.D. COROLLARY I. All the exterior angles of any rectilineal figure are together equal to four right angles . Let ABCD be any rectilineal figure having the 1. exterior angles A , B , C , D , these shall be together ...
Página 59
... rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides . For any interior angle ABD , together with its 3. adjacent exterior angle DBC is equal to two right angles . Therefore ...
... rectilineal figure together with four right angles are equal to twice as many right angles as the figure has sides . For any interior angle ABD , together with its 3. adjacent exterior angle DBC is equal to two right angles . Therefore ...
Página 72
... triangle . PROPOSITION 45. PROBLEM . To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and 1. E the given rectilineal ...
... triangle . PROPOSITION 45. PROBLEM . To describe a parallelogram equal to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and 1. E the given rectilineal ...
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