The Elements of Euclid: 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 Corrected. viz. the first six books, together with the eleventh and twelfthMathew Carey, and sold by J. Conrad & Company, S. F. Bradford, Birch & Small, and Samuel Etheridge. Printed by T. & G. Palmer, 116, High-Street., 1806 - 518 sider |
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Resultat 6-10 av 11
Side 199
I. THEOR . ONE part of a straight line cannot be in a plane See N. and another
part above it . If it be possible , let AB , part of the straight line ABC , be in the
plane , and the part BC above it : and since the straight line AB is in the plane , it
can ...
I. THEOR . ONE part of a straight line cannot be in a plane See N. and another
part above it . If it be possible , let AB , part of the straight line ABC , be in the
plane , and the part BC above it : and since the straight line AB is in the plane , it
can ...
Side 201
V. THEOR . IF three straight lines meet all in one point , and a See N. straight line
stands at right angles to each of them in that point ; these three straight lines are
in one and the same plane . Let the straight line AB stand at right angles to each
...
V. THEOR . IF three straight lines meet all in one point , and a See N. straight line
stands at right angles to each of them in that point ; these three straight lines are
in one and the same plane . Let the straight line AB stand at right angles to each
...
Side 209
THEOR . IF two straight lines meeting one another , be pa- See N. rallel to two
straight lines which meet one another , but are not in the same plane with the first
two ; the plane which passes through these is parallel to the plane passing ...
THEOR . IF two straight lines meeting one another , be pa- See N. rallel to two
straight lines which meet one another , but are not in the same plane with the first
two ; the plane which passes through these is parallel to the plane passing ...
Side 265
THEOR . EVERY prism having a triangular base may be divided into three
pyramids that have triangular bases , and are equal to one another . Let there be
a prism of which the base is the triangle ABC , and let DEF be the triangle
opposite to ...
THEOR . EVERY prism having a triangular base may be divided into three
pyramids that have triangular bases , and are equal to one another . Let there be
a prism of which the base is the triangle ABC , and let DEF be the triangle
opposite to ...
Side 272
THEOR . See N. CONES and cylinders of the same altitude are to one another as
their bases . Let the cones and cylinders , of which the bases are the circles
ABCD , EFGH , and the axes KL , MN , and AC , EG the diameters of their bases ,
be ...
THEOR . See N. CONES and cylinders of the same altitude are to one another as
their bases . Let the cones and cylinders , of which the bases are the circles
ABCD , EFGH , and the axes KL , MN , and AC , EG the diameters of their bases ,
be ...
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The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Euclid, Viz: The Errors, by Which Theon, Or Others, Have ... Robert Simson,Robert Euclid Ingen forhåndsvisning tilgjengelig - 2015 |
The Elements of Euclid: Viz. The First Six Books, Together With the Eleventh ... Robert Simson Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
ABCD added altitude angle ABC angle BAC base Book centre circle circle ABC circumference common cone cylinder definition demonstrated described diameter divided double draw drawn equal equal angles equiangular equimultiples excess fore four fourth given angle given in position given in species given magnitude given ratio given straight line greater Greek half join less likewise magnitude manner meet multiple opposite parallel parallelogram pass perpendicular plane prisms produced PROP proportionals proposition pyramid Q. E. D. PROP radius reason rectangle rectangle contained remaining right angles segment shown sides similar sine solid solid angle sphere square square of AC taken THEOR third triangle ABC wherefore whole
Populære avsnitt
Side 30 - Any two sides of a triangle are together greater than the third side.
Side 64 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Side 30 - IF, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle. Let...
Side 59 - PROP. VIII. THEOR. IF a straight line be divided into any two parts, tour times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Side 28 - If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles.
Side 165 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 19 - THE angles at the base of an isosceles triangle are equal to one another : and, if the equal sides be produced, the angles upon the other side of the base shall be equal.
Side 191 - In right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar, and similarly described figures upon the sides containing the right angle.
Side 39 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sidef. For any rectilineal figure ABCDE can be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
Side 180 - Therefore, universally, similar rectilineal figures are to one another in the duplicate ratio of their homologous sides.
Bibliografisk informasjon
| Tittel | The Elements of Euclid: 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 Corrected. viz. the first six books, together with the eleventh and twelfth |
| Forfatter | Robert Simson |
| Utgiver | Mathew Carey, and sold by J. Conrad & Company, S. F. Bradford, Birch & Small, and Samuel Etheridge. Printed by T. & G. Palmer, 116, High-Street., 1806 |
| Original fra | University of Michigan |
| Digitalisert | 11. jun 2007 |
| Lengde | 518 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |