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 Trigonometry |
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Side 31
... triangles will be identical . PROP . XXXVIII . THEOR . If the square described
upon one of the sides of a triangle , be equivalent to the squares described upon
the other two sides of it ; the angle contained by these two sides is a right angle .
... triangles will be identical . PROP . XXXVIII . THEOR . If the square described
upon one of the sides of a triangle , be equivalent to the squares described upon
the other two sides of it ; the angle contained by these two sides is a right angle .
Side 33
PROP . III . PROB . . From the greater of two given straight lines to cut off a part
equal to the less Let AB and C be the two given straight lines , whereof AB is the
greater . It is required to cut off from AB , the greater , a part equal to C , the less .
PROP . III . PROB . . From the greater of two given straight lines to cut off a part
equal to the less Let AB and C be the two given straight lines , whereof AB is the
greater . It is required to cut off from AB , the greater , a part equal to C , the less .
Side 34
PROP . V. PROB . To bisect a 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 ( Prob . 1. ) upon it an equilateral triangle ABC , and bisect
...
PROP . V. PROB . To bisect a 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 ( Prob . 1. ) upon it an equilateral triangle ABC , and bisect
...
Side 36
PROP . IX . PROB . At a given point in a given straight line , to make a rectilineal
angle equal to a given rectilineal angle . Let AB be the given straight line , and A
the given point in it , and DCE the given rectilineal angle ; it is required to make ...
PROP . IX . PROB . At a given point in a given straight line , to make a rectilineal
angle equal to a given rectilineal angle . Let AB be the given straight line , and A
the given point in it , and DCE the given rectilineal angle ; it is required to make ...
Side 37
PROP . X. PROB . A Two angles of a triangle being given , to find the third . Draw
any straight line CD ; at a point therein , as B , make the angle CBA equal to one
of the given angles , and the angle ABE equal to the other : the remaining angle ...
PROP . X. PROB . A Two angles of a triangle being given , to find the third . Draw
any straight line CD ; at a point therein , as B , make the angle CBA equal to one
of the given angles , and the angle ABE equal to the other : the remaining angle ...
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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 - 1854 |
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference distance divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | 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 Trigonometry |
| Forfatter | John Playfair |
| Utgave | 6 |
| Utgiver | W. E. Dean, 1836 |
| Lengde | 311 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |