Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1866 - 317 Seiten |
Im Buch
Ergebnisse 1-5 von 54
Seite 12
... PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw , from the point A , a straight line equal to BC . From the point A to ...
... PROB . From a given point to draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is required to draw , from the point A , a straight line equal to BC . From the point A to ...
Seite 13
... PROB . From the greater of two given straight lines to cut of 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 ...
... PROB . From the greater of two given straight lines to cut of 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 ...
Seite 17
... PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles A Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ...
... PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles A Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ...
Seite 18
... PROB . To draw a straight line at right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is requi red to draw a straight line from the point C at right ...
... PROB . To draw a straight line at right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is requi red to draw a straight line from the point C at right ...
Seite 23
... PROB . To construct à triangle of which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third ( 20. 1. ) . Let A , B , C be the three given straight lines , of which ...
... PROB . To construct à triangle of which the sides shall be equal to three given straight lines ; but any two whatever of these lines must be greater than the third ( 20. 1. ) . Let A , B , C be the three given straight lines , of which ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore