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 5
Side 228
been before Points S , T , Y , V , Q , Z , , , and complete the Solids F V , X2 , Then ,
I say , if the Solids AB , CD , be equal , their Bases and Altitudes are reciprocally
proportional , viz . as the Base E H is to the Base NP , so is the Altitude of the ...
been before Points S , T , Y , V , Q , Z , , , and complete the Solids F V , X2 , Then ,
I say , if the Solids AB , CD , be equal , their Bases and Altitudes are reciprocally
proportional , viz . as the Base E H is to the Base NP , so is the Altitude of the ...
Side 253
THEORE M. The Bases and Altitudes of equal Pyramids , having triangular Bases
, are reciprocally proportional ; and those ... as the Base ABC is to the Base DEF ,
fo is the Altitude of the Pyramid DEFH to the ' Altitude of the Pyramid ABCG .
THEORE M. The Bases and Altitudes of equal Pyramids , having triangular Bases
, are reciprocally proportional ; and those ... as the Base ABC is to the Base DEF ,
fo is the Altitude of the Pyramid DEFH to the ' Altitude of the Pyramid ABCG .
Side 254
But as the Altitude of the Pyramid DEFH is the same as the Altitude of the folid
Parallelepipedon EHPO , and the Altitude ... But those folid Parallelepipedons ,
whose Bases , and Altitudes are reciprocally proportional , are t equal to each
other .
But as the Altitude of the Pyramid DEFH is the same as the Altitude of the folid
Parallelepipedon EHPO , and the Altitude ... But those folid Parallelepipedons ,
whose Bases , and Altitudes are reciprocally proportional , are t equal to each
other .
Side 266
The Bases and Altitudes of equal Cones and Cylinders are reciprocally
proportional ; and Cones and Cylinders ... EO , are reciprocally proportional , that
is , the Base ABCD is to the Base EF GH , as the Altitude MN is to the Altitude KL .
The Bases and Altitudes of equal Cones and Cylinders are reciprocally
proportional ; and Cones and Cylinders ... EO , are reciprocally proportional , that
is , the Base ABCD is to the Base EF GH , as the Altitude MN is to the Altitude KL .
Side 267
But if the Altitude KL be not equal to the Altitude MN , let MN be the greater . And
take PM equal to L K from MN ; and let the Cylinder E O be cut thro ' P by the
Plane TYS , parallel to the opposite Planes of the Circles EFGH , RO , and
conceive ...
But if the Altitude KL be not equal to the Altitude MN , let MN be the greater . And
take PM equal to L K from MN ; and let the Cylinder E O be cut thro ' P by the
Plane TYS , parallel to the opposite Planes of the Circles EFGH , RO , and
conceive ...
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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 |