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 |
Dentro del libro
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Página 9
... fecond Demon- stration of the 9th Propofition of the third Book ; and the other a Demonftration of that Property of Proportionals called Con- verfions ( contained in a Corollary to the 19th Propofition of the fifth Book ; ) where ...
... fecond Demon- stration of the 9th Propofition of the third Book ; and the other a Demonftration of that Property of Proportionals called Con- verfions ( contained in a Corollary to the 19th Propofition of the fifth Book ; ) where ...
Página 106
... fecond Figure ; and join A F. Then we prove , as before , that the Paint F is the Centre of a Circle defcribed about the Tri- angle ABC . Laftly , Let the Right Lines D F , EF , meet one another again in the Point F , without the ...
... fecond Figure ; and join A F. Then we prove , as before , that the Paint F is the Centre of a Circle defcribed about the Tri- angle ABC . Laftly , Let the Right Lines D F , EF , meet one another again in the Point F , without the ...
Página 118
... fecond , and the third to the fourth ; when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth , according to any Multipli- cation whatfoever , are either both together , greater , equal ...
... fecond , and the third to the fourth ; when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth , according to any Multipli- cation whatfoever , are either both together , greater , equal ...
Página 119
... fecond and fourth ; and if the Multiple of the firft be greater than the Multiple of the fecond ; and alfo the Multiple of the third greater than the Multiple of the fourth ; or , if the Multiple of the first be equal to the Multiple of ...
... fecond and fourth ; and if the Multiple of the firft be greater than the Multiple of the fecond ; and alfo the Multiple of the third greater than the Multiple of the fourth ; or , if the Multiple of the first be equal to the Multiple of ...
Página 120
... fecond and fourth Magnitudes B and D. Then ( by Def . 5. ) if 2A be equal to 10B , 2C fhall be equal to 10D . But fince A ( from the Hypothefts ) is five Times B , 24 fhall be equal to 10B ; and fo 2C equal to 10D , and C equal to 5D ...
... fecond and fourth Magnitudes B and D. Then ( by Def . 5. ) if 2A be equal to 10B , 2C fhall be equal to 10D . But fince A ( from the Hypothefts ) is five Times B , 24 fhall be equal to 10B ; and fo 2C equal to 10D , and C equal to 5D ...
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...