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 páginas |
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... Series omitted by the AUTHOR . And the Difference between Dr. KEILL and Mr. CUNN impartially examined and adjusted . LONDON : Printed for W. STRAHAN , J. and F. RIVINGTON , HAWES , CLARKE and COLLINS , W. JOHN- STON , T. LONGMAN , T ...
... Series omitted by the AUTHOR . And the Difference between Dr. KEILL and Mr. CUNN impartially examined and adjusted . LONDON : Printed for W. STRAHAN , J. and F. RIVINGTON , HAWES , CLARKE and COLLINS , W. JOHN- STON , T. LONGMAN , T ...
Página 4
... Series of Conclufions , do deduce that univerfal Property of Proportionals which Euclid affirms ; a Procedure foreign enough to the juft Methods and Rules of Reafoning . They would certainly have done much better , if they had first ...
... Series of Conclufions , do deduce that univerfal Property of Proportionals which Euclid affirms ; a Procedure foreign enough to the juft Methods and Rules of Reafoning . They would certainly have done much better , if they had first ...
Página 11
... Series , given in the Treatifes on Trigonometry and Logarithms , and demonftrated in the Appendix ; for the greatest Part of these were fo badly difpofed , as to be unintelligible , even to those who understand the Subject ; these are ...
... Series , given in the Treatifes on Trigonometry and Logarithms , and demonftrated in the Appendix ; for the greatest Part of these were fo badly difpofed , as to be unintelligible , even to those who understand the Subject ; these are ...
Página 286
... Series converging in infinitum ; from which , having the Arcs given , their Sines may be found . Thus , if an Arc be called A , and the Radius be an Unit , the Sine thereof will be found to be A 3 A + A5 A7 1.2.3 12.3.4.5 1.2.3.4.5.6.7 ...
... Series converging in infinitum ; from which , having the Arcs given , their Sines may be found . Thus , if an Arc be called A , and the Radius be an Unit , the Sine thereof will be found to be A 3 A + A5 A7 1.2.3 12.3.4.5 1.2.3.4.5.6.7 ...
Página 287
... Series converges very flow , and therefore , to remedy this , I bave devifed other Series , fimilar to the Newtonian ones , wherein I fuppofe , the Arc , whofe Sine is fought , is the Sum or Difference of two Arcs , vi2 . A + z , or A ...
... Series converges very flow , and therefore , to remedy this , I bave devifed other Series , fimilar to the Newtonian ones , wherein I fuppofe , the Arc , whofe Sine is fought , is the Sum or Difference of two Arcs , vi2 . A + z , or A ...
Otras ediciones - Ver todas
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Sin vista previa disponible - 2018 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Sin vista previa disponible - 2017 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Sin vista previa disponible - 2015 |
Términos y frases comunes
A B C adjacent Angles alfo equal alſo Angle ABC Baſe becauſe bifected Centre Circle ABCD Circumference Cofine Cone confequently Coroll Cylinder defcribed demonftrated Diameter Diſtance drawn thro 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 oppofite parallel Parallelogram perpendicular Polygon Prifm Prop PROPOSITION Pyramid Quadrant Ratio Reafon Rectangle Rectangle contained remaining Angle Right Angles Right Line A B Right-lined Figure Segment ſhall Sides A B Sine Square Subtangent thefe THEOREM thofe thoſe tiple Triangle ABC Unity Vertex the Point Wherefore whofe Bafe whoſe
Pasajes populares
Página 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.
Página 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.
Página 169 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Página 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...
Página 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.
Página 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...
Página 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...
Página 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.
Página 161 - And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is...
Página 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...