Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
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Seite 23
... Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ano- ther . IX . The whole is greater than its part . X. All right angles are equal to one another . XI . " Two straight lines ...
... Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one ano- ther . IX . The whole is greater than its part . X. All right angles are equal to one another . XI . " Two straight lines ...
Seite 65
... magnitudes are to be added " together and the sign placed between them , signi- " fies that the latter is to be taken away from the former . " " The sign signifies , that the things between which " it is placed are equal to one another ...
... magnitudes are to be added " together and the sign placed between them , signi- " fies that the latter is to be taken away from the former . " " The sign signifies , that the things between which " it is placed are equal to one another ...
Seite 143
... magnitudes or numbers , signifies the sum " of those magnitudes or numbers . Thus , A + B is the sum of the two magnitudes denoted by the letters A “ and B ; m + n is the sum of the numbers denoted by 66 m and n . 66 " 3. The sign ...
... magnitudes or numbers , signifies the sum " of those magnitudes or numbers . Thus , A + B is the sum of the two magnitudes denoted by the letters A “ and B ; m + n is the sum of the numbers denoted by 66 m and n . 66 " 3. The sign ...
Seite 144
... magnitude is multi- plied by the number . Thus , 3A signifies three times " A ; mB , m times B , or a multiple of B by m . When " the number is intended to multiply two or more mag- " nitudes ... Magnitudes are said to be of 144 ELEMENTS.
... magnitude is multi- plied by the number . Thus , 3A signifies three times " A ; mB , m times B , or a multiple of B by m . When " the number is intended to multiply two or more mag- " nitudes ... Magnitudes are said to be of 144 ELEMENTS.
Seite 145
... magnitudes that are said to have a ratio to one another . Loowded V. Book V. If there be four magnitudes , and if any equimultiples See N. whatsoever be taken of the first and third , and any equimultiples whatsoever of the second and ...
... magnitudes that are said to have a ratio to one another . Loowded V. Book V. If there be four magnitudes , and if any equimultiples See N. whatsoever be taken of the first and third , and any equimultiples whatsoever of the second and ...
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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