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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Side 12
Of four fided figures , a square is that which has all its fides equal , and all its angles right angles , XXXI . An oblong , is that which has all its angles right angles , but has not all its fides equal . XXXII .
Of four fided figures , a square is that which has all its fides equal , and all its angles right angles , XXXI . An oblong , is that which has all its angles right angles , but has not all its fides equal . XXXII .
Side 48
O defcribe a square upon a given ftraight line . Let AB be the given straight line ; it is required to defcribe a fquare upon AB . From the point A draw a AC at right angles to AB ; and make b AD equal to AB , and through the point D ...
O defcribe a square upon a given ftraight line . Let AB be the given straight line ; it is required to defcribe a fquare upon AB . From the point A draw a AC at right angles to AB ; and make b AD equal to AB , and through the point D ...
Side 49
IF F the square described upon one of the fides of a triangle , be equal to the fquares defcribed upon the other two fides of it ; the angle contained by these two fides is a right angle ...
IF F the square described upon one of the fides of a triangle , be equal to the fquares defcribed upon the other two fides of it ; the angle contained by these two fides is a right angle ...
Side 50
D A From the point A draw a AD at right angles to AC , and make AD equal to BA , and join DC : Then , because DA is equal to AB , the square of DA is equal to the fquare of AB : To each of these add the fquare of AC ; therefore the ...
D A From the point A draw a AD at right angles to AC , and make AD equal to BA , and join DC : Then , because DA is equal to AB , the square of DA is equal to the fquare of AB : To each of these add the fquare of AC ; therefore the ...
Side 53
... CB , for CD . is equal to BC ; and DB is the fquare of BC ; therefore the rectangle AB , D E BC is equal to the rectangle AC , CB together with the square of BC . If therefore a ftraight , & c . Q. E. D. PROP . IV . THEOR .
... CB , for CD . is equal to BC ; and DB is the fquare of BC ; therefore the rectangle AB , D E BC is equal to the rectangle AC , CB together with the square of BC . If therefore a ftraight , & c . Q. E. D. PROP . IV . THEOR .
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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 |