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 WorkW. Strahan, 1772 - 399 Seiten |
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Ergebnisse 1-5 von 47
Seite 102
... exceed the Diameter of the Circle . ET the Circle be A ' ' Right Line , not greater than the Diameter , be D. It is required to apply a Right Line in the Circle A B C , equal to the Right Line D. Draw BC the Diameter of the Circle ...
... exceed the Diameter of the Circle . ET the Circle be A ' ' Right Line , not greater than the Diameter , be D. It is required to apply a Right Line in the Circle A B C , equal to the Right Line D. Draw BC the Diameter of the Circle ...
Seite 118
... exceed one another . V. Magnitudes are faid to be in the fame Ratio , the first to the fecond , and the third to the fourib ; when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth ...
... exceed one another . V. Magnitudes are faid to be in the fame Ratio , the first to the fecond , and the third to the fourib ; when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth ...
Seite 121
... exceeds the Multiple of the fecond , but the " Multiple of the third does not exceed the Multiple of the fourth ; then the firft to the fecond is faid to have a greater Proportion , than the third to the fourth . VIII . Analogy is a ...
... exceeds the Multiple of the fecond , but the " Multiple of the third does not exceed the Multiple of the fourth ; then the firft to the fecond is faid to have a greater Proportion , than the third to the fourth . VIII . Analogy is a ...
Seite 126
... exceeds † Def . 5. of M , then + L will exceed N ; if K be equal to M , L will be equal to N ; and if K is lefs than M , then L will be lefs than N : But K and L are Equimultiples of E and F , alfo M and N are Equimultiples of G and H ...
... exceeds † Def . 5. of M , then + L will exceed N ; if K be equal to M , L will be equal to N ; and if K is lefs than M , then L will be lefs than N : But K and L are Equimultiples of E and F , alfo M and N are Equimultiples of G and H ...
Seite 127
... exceeds M , then L will exceed N ; and if K be equal to M , L will be equal to N ; and if K be less than M , L will be lefs than N : It is manifeft , likewife , if M exceeds K , that N fhall exceed L ; if equal , equal ; but if lefs ...
... exceeds M , then L will exceed N ; and if K be equal to M , L will be equal to N ; and if K be less than M , L will be lefs than N : It is manifeft , likewife , if M exceeds K , that N fhall exceed L ; if equal , equal ; but if lefs ...
Andere Ausgaben - Alle anzeigen
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2018 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2017 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
A B C alfo alfo equal alſo Angle ABC Baſe becauſe bifected Centre Circle ABCD Circumference Cofine Cone confequently Coroll Cylinder defcribed demonftrated Diameter Diſtance drawn thro EFGH equal Angles equiangular Equimultiples faid fame Altitude fame Multiple fame Plane fame Proportion fame Reaſon fecond fhall be equal fimilar fince firft folid Parallelepipedon fome fore ftand fubtending given Right Line Gnomon greater join leffer lefs likewife Logarithm Magnitudes Meaſure Number paffing thro parallel Parallelogram perpendicular Polygon Prifms Prop PROPOSITION Pyramid Quadrant Ratio Rectangle Rectangle contained remaining Angle Right Angles Right Line A B Right-lined Figure Segment ſhall Sides A B Sine Square Subtangent thefe THEOREM theſe thofe tiple Triangle ABC Unity Vertex the Point Wherefore whofe Bafe whole whoſe
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 xxii - ... 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 |