The first three books of Euclid's Elements of geometry, with theorems and problems, by T. Tate1851 - 139 sider |
Inni boken
Resultat 1-5 av 18
Side 47
... rectangular , and it has been demonstrated that it is equilateral ; it is therefore a square ( Def . 30. ) , and it is described upon the given straight line AB . Which was to be done . COR . Hence every parallelogram that has one right ...
... rectangular , and it has been demonstrated that it is equilateral ; it is therefore a square ( Def . 30. ) , and it is described upon the given straight line AB . Which was to be done . COR . Hence every parallelogram that has one right ...
Side 51
... rectangle BH is equal to the rectangles BK , DL , EH ; and BH is contained by A , BC , for it is contained by GB ... AB be divided into any two parts in the point c ; the rectangle contained by A B , BC , together with the rectangle ...
... rectangle BH is equal to the rectangles BK , DL , EH ; and BH is contained by A , BC , for it is contained by GB ... AB be divided into any two parts in the point c ; the rectangle contained by A B , BC , together with the rectangle ...
Side 52
Euclides Thomas Tate. equal to AB ; therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is equal to the square of AB . If therefore a straight line , & c . Q. E.D. PROP . III . THEOR . If a straight line be ...
Euclides Thomas Tate. equal to AB ; therefore the rectangle contained by AB , AC together with the rectangle AB , BC , is equal to the square of AB . If therefore a straight line , & c . Q. E.D. PROP . III . THEOR . If a straight line be ...
Side 53
Euclides Thomas Tate. of AC , BC , together with twice the rectangle con - ` tained by AC , CB . Upon AB describe ( 1. 46. ) the square ADEB , and join BD , and through C draw ( I. 31. ) CGF parallel to AD or BE , and through G draw HK ...
Euclides Thomas Tate. of AC , BC , together with twice the rectangle con - ` tained by AC , CB . Upon AB describe ( 1. 46. ) the square ADEB , and join BD , and through C draw ( I. 31. ) CGF parallel to AD or BE , and through G draw HK ...
Side 54
Euclides Thomas Tate. is the square of AB : Therefore the square of AB is equal to the squares of AC , CB and twice the rectangle AC , CB . Wherefore if a straight line , & c . Q. E. D. COR . From the demonstration , it is manifest that ...
Euclides Thomas Tate. is the square of AB : Therefore the square of AB is equal to the squares of AC , CB and twice the rectangle AC , CB . Wherefore if a straight line , & c . Q. E. D. COR . From the demonstration , it is manifest that ...
Andre utgaver - Vis alle
The first three books of Euclid's Elements of geometry, with theorems and ... Euclid,Thomas Tate Uten tilgangsbegrensning - 1849 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
The First Three Books of Euclid's Elements of Geometry from the Text of Dr ... Euclid,Thomas Tate Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles angle ABC angle ACB angle BAC angle equal angles BGH base BC BC is equal bisect centre circle ABC circumference diameter divided double draw a straight equal angles equal circles equal straight lines equal to FB exterior angle given point given rectilineal angle given straight line gnomon greater half a right hypotenuse interior and opposite isosceles triangle less Let ABC Let the straight line be drawn opposite angles parallel parallelogram perpendicular PROB produced Q. E. D. PROP rectangle AE rectangle contained rectilineal figure remaining angle right angles segment semicircle side BC square of AC straight line AB straight line AC straight line drawn THEOR touches the circle trapezium triangle ABC twice the rectangle vertex vertical angle