Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
Im Buch
Ergebnisse 1-5 von 69
Seite 22
... described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing are equal to one another . 11 . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
... described from any centre , at any distance from that centre . AXIOMS . I. THINGS which are equal to the same thing are equal to one another . 11 . If equals be added to equals , the wholes are equal . III . If equals be taken from ...
Seite 24
... described upon the given straight line AB . Which was required to be done . PROP . II . 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 ...
... described upon the given straight line AB . Which was required to be done . PROP . II . 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 ...
Seite 25
... described the circle CGH , and from the centre D , at the distance DG , describe the circle GKL . AL is equal to BC . Because the point B is the centre of the circle CGH , BC is equal to BG ; and be- cause D is the centre of the f Book ...
... described the circle CGH , and from the centre D , at the distance DG , describe the circle GKL . AL is equal to BC . Because the point B is the centre of the circle CGH , BC is equal to BG ; and be- cause D is the centre of the f Book ...
Seite 57
... described a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . b 34. 1 . a 10. 1 . b 25. 1 . c 31. 1 . d 58. 1 . e 41. 1 . Book I. PROP . XLIII . THEOR ...
... described a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal to the given angle D. Which was to be done . b 34. 1 . a 10. 1 . b 25. 1 . c 31. 1 . d 58. 1 . e 41. 1 . Book I. PROP . XLIII . THEOR ...
Seite 60
... , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. 60 ELEMENTS.
... , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given angle E. 60 ELEMENTS.
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
ABC is equal ABCD altitude angle ABC angle ACB angle BAC arch AC base BC bisected Book centre circle ABC circumference cosine cylinder definition demonstrated described diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles GEOMETRY given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram perpendicular polygon prism PROB proportional 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 SPHERICAL TRIGONOMETRY straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore