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 39
Side 155
A ftraight line is faid to be cut in extreme and mean ratio , when the whole is to the greater fegment , as the greater fegment is to the lefs . 1 IV . The altitude of any figure is the straight line drawn from its vertex perpendicular ...
A ftraight line is faid to be cut in extreme and mean ratio , when the whole is to the greater fegment , as the greater fegment is to the lefs . 1 IV . The altitude of any figure is the straight line drawn from its vertex perpendicular ...
Side 156
TRIA ' RIANGLES and parallelograms of the fame altitude are one to another as their bases . Let the triangles ABC , ACD , and the parallelograms EC , CF have the fame altitude , viz . the perpendicular drawn from the point A to BD ...
TRIA ' RIANGLES and parallelograms of the fame altitude are one to another as their bases . Let the triangles ABC , ACD , and the parallelograms EC , CF have the fame altitude , viz . the perpendicular drawn from the point A to BD ...
Side 157
From this it is plain , that triangles and parallelograms that have equal altitudes , are one to another as their bases . Let the figures be placed fo as to have their bafes in the fame ftraight line ; and having drawn perpendiculars ...
From this it is plain , that triangles and parallelograms that have equal altitudes , are one to another as their bases . Let the figures be placed fo as to have their bafes in the fame ftraight line ; and having drawn perpendiculars ...
Side 229
See N. SOLE OLID parallelepipeds upon the fame base , and of the fame altitude , the infifting ftraight lines of which are terminated in the fame straight lines of the plane oppofite to the bafe , are equal to one another .
See N. SOLE OLID parallelepipeds upon the fame base , and of the fame altitude , the infifting ftraight lines of which are terminated in the fame straight lines of the plane oppofite to the bafe , are equal to one another .
Side 230
Let the folid parallelepipeds AH , AK be upon the fame base AB , and of the fame altitude , and let their infisting straight See the fi - lines AF , AG , LM , LN , be terminated in the fame straight line FN , and CD , CE , BH , BK be ...
Let the folid parallelepipeds AH , AK be upon the fame base AB , and of the fame altitude , and let their infisting straight See the fi - lines AF , AG , LM , LN , be terminated in the fame straight line FN , and CD , CE , BH , BK be ...
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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 |