Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms ; Likewise Another of the Elements of Plain and Spherical Trigonometry ; with a Preface |
Inni boken
Resultat 1-5 av 5
Side 192
One Part of a Right Line cannot be in a plane Superficies , and another Part
above it . OR , if possible , let the Part AB of the Right Line ABC , be in a plane
Superficies , and the Part B C above the same . There will be fome Right Line in
the ...
One Part of a Right Line cannot be in a plane Superficies , and another Part
above it . OR , if possible , let the Part AB of the Right Line ABC , be in a plane
Superficies , and the Part B C above the same . There will be fome Right Line in
the ...
Side 201
which is in the Plane passing thro ' ED and DA , doth touch it . Therefore GH is
perpendicular to AF , and so AF is perpendicular to GH ; but AF likes wise is
perpendicular to DE ; therefore AF is perpendicular to both HG , DE . But if a
Right Line ...
which is in the Plane passing thro ' ED and DA , doth touch it . Therefore GH is
perpendicular to AF , and so AF is perpendicular to GH ; but AF likes wise is
perpendicular to DE ; therefore AF is perpendicular to both HG , DE . But if a
Right Line ...
Side 202
THEOR E M. Two Right Lines cannct be erected at Right Angles , to a given
Plane from a Point ( herein given . FAR OR , if it is poffible , let two Right Lincs AB
, AC , be erected perpendicular to a given Plane on the same Side , at a given
Point ...
THEOR E M. Two Right Lines cannct be erected at Right Angles , to a given
Plane from a Point ( herein given . FAR OR , if it is poffible , let two Right Lincs AB
, AC , be erected perpendicular to a given Plane on the same Side , at a given
Point ...
Side 206
1 which let FG be drawn in the Plane DE , perpendicular to the Right Line CE .
Then because AB is • Def . 3. perpendicular to the Plane CL , it shall also be *
perpendicular to all the Right Lines which touch it , and are in the fame Plane .
1 which let FG be drawn in the Plane DE , perpendicular to the Right Line CE .
Then because AB is • Def . 3. perpendicular to the Plane CL , it shall also be *
perpendicular to all the Right Lines which touch it , and are in the fame Plane .
Side 234
If a Plane be perpendicular to a Plane , and a Line bé drawn from a Point in one
of the Planes perpendicular to the other Plane , that Perpendicular fəall fall in the
common Section of the Planes . * Def : ET the Plane CD be perpendicular to the ...
If a Plane be perpendicular to a Plane , and a Line bé drawn from a Point in one
of the Planes perpendicular to the other Plane , that Perpendicular fəall fall in the
common Section of the Planes . * Def : ET the Plane CD be perpendicular to the ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... John Keill Uten tilgangsbegrensning - 1723 |
Vanlige uttrykk og setninger
added alſo Altitude Angle ABC Baſe becauſe Center Circle Circle ABCD Circumference common Cone conſequently contained Cylinder demonſtrated deſcribed Diameter Difference Diſtance divided double draw drawn equal equal Angles equiangular Equimultiples exceeds fall fame firſt fore four fourth given greater half join leſs likewiſe Logarithm Magnitudes Manner mean Multiple Number oppoſite parallel Parallelogram perpendicular Place Plane Point Polygon Priſms produced Prop Proportion PROPOSITION proved Pyramid Radius Ratio Rectangle remaining Right Angles Right Line Right-lined Figure ſaid ſame ſame Reaſon ſay ſecond Segment Series ſhall ſhall be equal Sides ſimilar ſince Sine Solid ſome Sphere Square ſtand taken Terms THEOREM thereof theſe third thoſe thro touch Triangle Triangle ABC Unity Wherefore whole whoſe Baſe
Populære avsnitt
Side 66 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Side 161 - IF two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals : the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides.
Side 110 - And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH...
Side 88 - IN a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 22 - ... sides equal to them of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB...
Side 9 - ... equal to them, of the other. Let ABC, DEF be two triangles which have the two sides AB, AC equal to the two sides DE, DF, each to each, viz. AB equal to DE, and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF.
Side 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Side 33 - ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i.
Side 111 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Bibliografisk informasjon
| Tittel | Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms ; Likewise Another of the Elements of Plain and Spherical Trigonometry ; with a Preface |
| Forfatter | John Keill |
| Redaktører | Mr. Cunn (Samuel), John Ham |
| Utgiver | T. Woodward, 1733 |
| Original fra | University of Michigan |
| Digitalisert | 8. jun 2007 |
| Lengde | 397 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |