The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner Corr |
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Resultat 1-5 av 91
Side 49
I. they are upon the fame base BD , and between the fame parallels , BD , AL ; and the fquare GB is double of the triangle FBC , because these alfo are upon the fame base FB and between the fame parallels FB , GC .
I. they are upon the fame base BD , and between the fame parallels , BD , AL ; and the fquare GB is double of the triangle FBC , because these alfo are upon the fame base FB and between the fame parallels FB , GC .
Side 50
I. If the fquare defcribed upon BC , one of the fides of the triangle ABC , be equal to the fquares upon the other fides BA , AC , the angle BAC is a right angle . D A From the point A draw a AD at right angles to AC , and make AD equal ...
I. If the fquare defcribed upon BC , one of the fides of the triangle ABC , be equal to the fquares upon the other fides BA , AC , the angle BAC is a right angle . D A From the point A draw a AD at right angles to AC , and make AD equal ...
Side 52
IF F a straight line be divided into any two parts , the rectangles contained by the whole and each of the parts , are together equal to the fquare of the whole line . Let the ftraight line AB be divided into any two parts in the point ...
IF F a straight line be divided into any two parts , the rectangles contained by the whole and each of the parts , are together equal to the fquare of the whole line . Let the ftraight line AB be divided into any two parts in the point ...
Side 53
IF F a ftraight line be divided into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together with the fquare of the forefaid part .
IF F a ftraight line be divided into any two parts , the rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together with the fquare of the forefaid part .
Side 54
T. C B the D Upon AB describe a the fquare ADEB , and join BD , and through C draw b CGF parallel to AD or BE , and through G draw HK parallel to AB or DE : And because CF is parallel to AD , and BD falls upon them , the exterior angle ...
T. C B the D Upon AB describe a the fquare ADEB , and join BD , and through C draw b CGF parallel to AD or BE , and through G draw HK parallel to AB or DE : And because CF is parallel to AD , and BD falls upon them , the exterior angle ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole
Bibliografisk informasjon
| Tittel | The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner Corr |
| Forfatter | Euclid |
| Utgiver | E. Wingrove, London, and J. Balfour, Edinburgh, 1793 |
| Original fra | Harvard University |
| Digitalisert | 17. apr 2019 |
| Lengde | 520 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |