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 |
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Resultat 1-5 av 7
Side 50
Add DO , which is common to both of them , and the whole CO , is equal to the
whole DF ; but ... because AC is equal to CB ; therefore AL is equal to DF , and
adding CH , which is common , the whole AH shall be equal to FD , DL , together
.
Add DO , which is common to both of them , and the whole CO , is equal to the
whole DF ; but ... because AC is equal to CB ; therefore AL is equal to DF , and
adding CH , which is common , the whole AH shall be equal to FD , DL , together
.
Side 193
PROPOSITION III , THEOREM . If two Planes cut each other , their common
Section will be a Right Line . ET two Planes AB , CB , cut each other , whose
common Section is the Line D B. I say , DB · is a Right Line . For if it be not , draw
the Right ...
PROPOSITION III , THEOREM . If two Planes cut each other , their common
Section will be a Right Line . ET two Planes AB , CB , cut each other , whose
common Section is the Line D B. I say , DB · is a Right Line . For if it be not , draw
the Right ...
Side 195
Wherefore , if to two Right Lines cutting one another , a third stands at Right
Angles in the common Section , it shall be also at Right Angles to the Plane
drawn thro ' the said Lines ; which was to be demonstrated . PROPOSITION V.
THE OR E ...
Wherefore , if to two Right Lines cutting one another , a third stands at Right
Angles in the common Section , it shall be also at Right Angles to the Plane
drawn thro ' the said Lines ; which was to be demonstrated . PROPOSITION V.
THE OR E ...
Side 206
Angles to the Plane CL . Therefore FG will be + at Right Angles to that same
Plane . But one Plane is perpendicular to another , when the Right Lines , drawn
in one of the Planes perpendicular to the common I Def 4 Section of the Planes ,
are I ...
Angles to the Plane CL . Therefore FG will be + at Right Angles to that same
Plane . But one Plane is perpendicular to another , when the Right Lines , drawn
in one of the Planes perpendicular to the common I Def 4 Section of the Planes ,
are I ...
Side 207
Therefore tot 13 of tbisa this third Plane cannot be erected any Right Lines
perpendicular at D , and on the fame Side , except BD , the common Section of
the Planes AB , BC , Wherefore D B is perpendicular to the third Plane . If ,
therefore ...
Therefore tot 13 of tbisa this third Plane cannot be erected any Right Lines
perpendicular at D , and on the fame Side , except BD , the common Section of
the Planes AB , BC , Wherefore D B is perpendicular to the third Plane . If ,
therefore ...
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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 |