A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C. Mansford1874 |
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Side 17
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 34. Any four - sided figure is called a Quadrilateral . 35. Parallel straight lines are such as are in the same plane , and which ...
... opposite sides equal to one another , but all its sides are not equal , nor its angles right angles . 34. Any four - sided figure is called a Quadrilateral . 35. Parallel straight lines are such as are in the same plane , and which ...
Side 22
... sides are opposite . 1 . A D Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE and AC to DF ; and the angle BAC equal to the angle EDF , the base BC shall ...
... sides are opposite . 1 . A D Let ABC , DEF be two triangles which have the two sides AB , AC equal to the two sides DE , DF , each to each , namely , AB to DE and AC to DF ; and the angle BAC equal to the angle EDF , the base BC shall ...
Side 24
... sides are opposite , namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4. ] And because the whole AF is equal to the whole AG , of which the parts AB , AC are equal , [ Hyp . ] the remainder BF is equal ...
... sides are opposite , namely the angle ACF to the angle ABG , and the angle AFC to the angle AGB . [ I. 4. ] And because the whole AF is equal to the whole AG , of which the parts AB , AC are equal , [ Hyp . ] the remainder BF is equal ...
Side 25
... opposite angles of a rhombus are equal to one another . [ Draw 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 ...
... opposite angles of a rhombus are equal to one another . [ Draw 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 ...
Side 29
... sides BA , CA do not coincide with the sides ED , FD , but have a different situation as EG , FG ; then on the same ... opposite A D B E sides of the base . Let GBC represent the position of DEF , so that BG is the position assumed by DE ...
... sides BA , CA do not coincide with the sides ED , FD , but have a different situation as EG , FG ; then on the same ... opposite A D B E sides of the base . Let GBC represent the position of DEF , so that BG is the position assumed by DE ...
Andre utgaver - Vis alle
A School Euclid. Being Books I. & II. of Euclid's Elements, with Notes ... Euclid,Charles Mansford Uten tilgangsbegrensning - 1875 |
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... Euclides Uten tilgangsbegrensning - 1874 |
A School Euclid, Being Books I. & II. of Euclid's Elements, with Notes by C ... Euclides Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
AC is equal adjacent angles alternate angles angle ABC angle ACB angle AGH angle BAC angle BCD angle DBA angle EDF angle equal angles are equal axioms base BC bisect centre circle coincide Const diagonals diameter double equal sides equal to BC equal to twice equilateral triangle Euclid EUCLID'S ELEMENTS 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 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
Populære avsnitt
Side 90 - If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part.
Side 28 - If two triangles have two sides of the one equal to two sides of the...
Side 41 - Any two sides of a triangle are together greater than the third side.
Side 57 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are equal to two right angles.
Side 72 - 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 E the given rectilineal angle. It is required to describe a parallelogram equal to ABCD, and having an angle equal to E.
Side 75 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Side 89 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced...
Side 55 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon the same side; and likewise the two interior angles upon the same side together equal to two right angles...
Side 28 - A two triangles, having the two sides AB, AC, equal to the two sides \ DE, DF, each to each, viz: AB to DE, and AC to DF; and also the base BC equal to the base EF.
Side 69 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.