Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 sider |
Inni boken
Resultat 1-5 av 74
Side 22
... a given finite straight line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B ...
... a given finite straight line Let AB be the given straight line ; it is required to describe an equilateral triangle upon it . From the centre A , at the distance AB , describe ( 3. Pos- tulate ) the circle BCD , and from the centre B ...
Side 23
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given straight lines to cut off ...
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given straight lines to cut off ...
Side 27
... line BC upon EF ; the point C shall also coincide with the point F , because ... straight line AF bi- sects the angle BAC . Because AD is equal to AE , and AF is common to the two triangles ... a given finite OF GEOMETRY . BOOK I. 27 A ...
... line BC upon EF ; the point C shall also coincide with the point F , because ... straight line AF bi- sects the angle BAC . Because AD is equal to AE , and AF is common to the two triangles ... a given finite OF GEOMETRY . BOOK I. 27 A ...
Side 28
... given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral ... draw a straight 28 ELEMENTS.
... given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral ... draw a straight 28 ELEMENTS.
Side 29
... straight line perpendicular to a given straight line , of unlimited length , from a given point without it . Let AB be a given straight line , which may be length both ways , and let C be a point without it . draw a straight line ...
... straight line perpendicular to a given straight line , of unlimited length , from a given point without it . Let AB be a given straight line , which may be length both ways , and let C be a point without it . draw a straight line ...
Andre utgaver - Vis alle
Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |
Elements of Geometry: Containing the First Six Books of Euclid : with a ... John Playfair Uten tilgangsbegrensning - 1837 |
Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1854 |
Vanlige uttrykk og setninger
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore