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 26
Side 16
... perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let c be a A C E II G B D point without it 16 ...
... perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which may be produced to any length both ways , and let c be a A C E II G B D point without it 16 ...
Side 17
... perpendicular to it ( Def . 10. ) ; therefore from the given point c a perpendicular CH has been drawn to the given straight line AB . Which was to be done . PROP . XIII . THEOR . The angles which one straight line makes with another ...
... perpendicular to it ( Def . 10. ) ; therefore from the given point c a perpendicular CH has been drawn to the given straight line AB . Which was to be done . PROP . XIII . THEOR . The angles which one straight line makes with another ...
Side 63
... perpendicular be drawn from any of the acute angles to the opposite side produced , the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle , by twice the rectangle ...
... perpendicular be drawn from any of the acute angles to the opposite side produced , the square of the side subtending the obtuse angle is greater than the squares of the sides containing the obtuse angle , by twice the rectangle ...
Side 64
... perpendicular to BC produced : the square of AB is greater than the squares of A C , C B by twice the rectangle BC , CD . A Because the straight line BD is divided into two parts in the point c , the square of BD is equal ( II . 4. ) to ...
... perpendicular to BC produced : the square of AB is greater than the squares of A C , C B by twice the rectangle BC , CD . A Because the straight line BD is divided into two parts in the point c , the square of BD is equal ( II . 4. ) to ...
Side 66
... perpendicular to BC ; then is BC the straight line be- tween the perpendicular and the acute angle at B ; and it is manifest that the squares of AB , BC are equal ( 1. 47. ) to the square of A C , and twice the square of BC : Therefore ...
... perpendicular to BC ; then is BC the straight line be- tween the perpendicular and the acute angle at B ; and it is manifest that the squares of AB , BC are equal ( 1. 47. ) to the square of A C , and twice the square of BC : Therefore ...
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