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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he published his Edition without omitting any of Euclid's Demonstrations , except two ; one of which was a second Demonftration of the gth Proposition of the third Book ; and the other a Demonstration of that Property of Proportionals ...
he published his Edition without omitting any of Euclid's Demonstrations , except two ; one of which was a second Demonftration of the gth Proposition of the third Book ; and the other a Demonstration of that Property of Proportionals ...
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... designed ( as may be supposed ) to have been inserted in a Second Edition ; but probably , prevented from so being , either by his Death , or some other Accident : All these Alterations have been carefully made , in this Edition ...
... designed ( as may be supposed ) to have been inserted in a Second Edition ; but probably , prevented from so being , either by his Death , or some other Accident : All these Alterations have been carefully made , in this Edition ...
Seite 63
And so , there is a Square made equal to the given Right - lined Figure A , viz . the Square of EH ; which was to be done . The End of the SECOND Book . EUCLI D's E LE M E N T S. BOOK III . Book II . Euclid's ELEMENTS .
And so , there is a Square made equal to the given Right - lined Figure A , viz . the Square of EH ; which was to be done . The End of the SECOND Book . EUCLI D's E LE M E N T S. BOOK III . Book II . Euclid's ELEMENTS .
Seite 106
Secondly , Let DF , EF , meet each other in the Point F , in the Side B C , as in the second Figure ; and join AF . Then we prove , as before , that the Point F is the Centre of a Circle described about the Triangle ABC .
Secondly , Let DF , EF , meet each other in the Point F , in the Side B C , as in the second Figure ; and join AF . Then we prove , as before , that the Point F is the Centre of a Circle described about the Triangle ABC .
Seite 118
V. Magnitudes are said to be in the same Ratio , the first to the second , and the third to the fourib ; when the Equimultiples of the first and third , compared with the Equimultiples of the second and fourth , according to any ...
V. Magnitudes are said to be in the same Ratio , the first to the second , and the third to the fourib ; when the Equimultiples of the first and third , compared with the Equimultiples of the second and fourth , according to any ...
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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 |