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 10
... When a ftraight line ftanding on another ftraight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the ftraight line which ftands on the other is called a perpendicular to it .
... When a ftraight line ftanding on another ftraight line makes the adjacent angles equal to one another , each of the angles is called a right angle ; and the ftraight line which ftands on the other is called a perpendicular to it .
Side 23
T O draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced any length both ways , and let C be a point without it .
T O draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced any length both ways , and let C be a point without it .
Side 63
THEO R. IN N obtufe angled triangles , if a perpendicular be drawn from any of the acute angles to the oppofite fide produced , the fquare of the fide fubtending the obtufe angle is greater than the fquares of the fides containing the ...
THEO R. IN N obtufe angled triangles , if a perpendicular be drawn from any of the acute angles to the oppofite fide produced , the fquare of the fide fubtending the obtufe angle is greater than the fquares of the fides containing the ...
Side 64
Let ABC be any triangle , and the angle at B one of its a cute angles , and upon BC , one of the fides containing it , let fall the perpendicular a AD from the oppofite angle : The fquare of AC , oppofite to the angle B , is less than ...
Let ABC be any triangle , and the angle at B one of its a cute angles , and upon BC , one of the fides containing it , let fall the perpendicular a AD from the oppofite angle : The fquare of AC , oppofite to the angle B , is less than ...
Side 65
Laftly , let the fide AC be perpendicular to BC ; then is BC the ftraight line between the perpendicular and the acute angle at B ; and it is manifeft that the fquares of AB , BC are equal g to the fquare of AC and twice the fquare of ...
Laftly , let the fide AC be perpendicular to BC ; then is BC the ftraight line between the perpendicular and the acute angle at B ; and it is manifeft that the fquares of AB , BC are equal g to the fquare of AC and twice the fquare of ...
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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 |