Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms; Likewise Another of the Elements of Plane and Spherical Trigonometry; with a Preface, Shewing the Usefulness and Excellency of this Work |
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... that they carp at Euclid undeservedly : For his Definitions are distinct and clear , as being taken from firs Principles , and our most easy and fimple Conceptions ; and bis Demonstrations elegant , perspicuous , and concise ...
... that they carp at Euclid undeservedly : For his Definitions are distinct and clear , as being taken from firs Principles , and our most easy and fimple Conceptions ; and bis Demonstrations elegant , perspicuous , and concise ...
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But , rejecting this Method , they have taken the Liberty of adding their Demonstration to this Definition of the fifth Book . Those who have a mind to see a farther Defence of Euclid , may consult the Matbematical ...
But , rejecting this Method , they have taken the Liberty of adding their Demonstration to this Definition of the fifth Book . Those who have a mind to see a farther Defence of Euclid , may consult the Matbematical ...
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... Notes , or obscure Principles , taken elsewhere . As Barrow's Elements are too short , fo are those of Clavius too prolix , abounding in fuperfluous Scholiums and Comments : For , in my opinion , Euclid is not so obscure as to want ...
... Notes , or obscure Principles , taken elsewhere . As Barrow's Elements are too short , fo are those of Clavius too prolix , abounding in fuperfluous Scholiums and Comments : For , in my opinion , Euclid is not so obscure as to want ...
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... which were taken Notice of in the Latin Edition , are corrected in this . Vide Page 55. 107. of Euclid's Works , published by Dr. Gregory As As to the Trigonometrical Tract , annexed to these Elements Mr. Cunn's PREFACE .
... which were taken Notice of in the Latin Edition , are corrected in this . Vide Page 55. 107. of Euclid's Works , published by Dr. Gregory As As to the Trigonometrical Tract , annexed to these Elements Mr. Cunn's PREFACE .
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If from equal Things equal Things be taken . away , the Remainders will be equal . IV . If equal Things be added to unequal Things , the Wboles will be unequal . V. If equal Things be taken from unequal Things , the Remainders will be ...
If from equal Things equal Things be taken . away , the Remainders will be equal . IV . If equal Things be added to unequal Things , the Wboles will be unequal . V. If equal Things be taken from unequal Things , the Remainders will be ...
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Euclid's Elements of Geometry, from the Latin Translation of Commandine: To ... John Keill Keine Leseprobe verfügbar - 2017 |
Häufige Begriffe und Wortgruppen
added alſo Altitude Baſe becauſe Centre 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 Ratio Reaſon Rectangle remaining Right Angles Right Line Right Line A B Right-lined Figure ſaid ſame ſay ſecond Segment Series ſhall ſhall be equal Sides ſimilar ſince Sine Solid ſome Sphere Square taken Terms THEOREM thereof theſe third thoſe thro touch Triangle Triangle A B C Unity Whence Wherefore whole whoſe Baſe
Beliebte Passagen
Seite 195 - 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.
Seite 165 - 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.
Seite 169 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Seite 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...
Seite 54 - If a straight line be divided into any two parts, four 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.
Seite 123 - GB is equal to E, and HD to F; GB and HD together are equal to E and F together : wherefore as many magnitudes as...
Seite 215 - CD; therefore AC is a parallelogram. In like manner, it may be proved that each of the figures CE, FG, GB, BF, AE, is a parallelogram...
Seite 196 - ABC, and they are both in the same plane, which is impossible ; therefore the straight line BC is not above the plane in which are BD and BE: wherefore, the three straight lines BC, BD, BE are in one and the same plane. Therefore, if three straight lines, &c.
Seite 161 - And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is...
Seite 207 - A plane is perpendicular to a plane, when the straight lines drawn in one of the planes perpendicular to the common section of the two planes, are perpendicular to the other plane. V. The inclination of a straight line to a plane...
Bibliografische Informationen
| Titel | Euclid's Elements of Geometry: From the Latin Translation of Commandine. To which is Added, a Treatise of the Nature and Arithmetic of Logarithms; Likewise Another of the Elements of Plane and Spherical Trigonometry; with a Preface, Shewing the Usefulness and Excellency of this Work |
| Autor/in | John Keill |
| Ausgabe | 11 |
| Verlag | W. Strahan, 1772 |
| Original von | University of Michigan |
| Digitalisiert | 8. Juni 2007 |
| Länge | 399 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |