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 sider |
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Resultat 1-5 av 45
Side 102
... exceed the Diameter of the Circle . L ET the Circle given be A BC , and the given 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 ...
... exceed the Diameter of the Circle . L ET the Circle given be A BC , and the given 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 ...
Side 118
... exceed one another . V. Magnitudes are faid to be in the fame Ratio , the first to the fecond , and the third to the fourth ; 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 fourth ; when the Equimultiples of the first and third , compared with the Equimultiples of the fecond and fourth ...
Side 121
... exceeds the Multiple of the fecond , but the Multiple of the third does not exceed the Mul- tiple of the fourth ; then the first to the second 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 Mul- tiple of the fourth ; then the first to the second is faid to have a greater Proportion , than the third to the fourth . VIII . Analogy is a ...
Side 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 less than N : But K and L are Equimultiples of E and F , alfo M and N are Equimulti- ples 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 less than N : But K and L are Equimultiples of E and F , alfo M and N are Equimulti- ples of G and H ...
Side 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 lefs 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 lefs 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 ...
Andre utgaver - Vis alle
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2018 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2017 |
Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2015 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 169 - Equal parallelograms which have one angle of the one equal to one angle of the other, have their sides about the equal angles...
Side 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...
Side 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.
Side 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...
Side 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...
Side 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.
Side 161 - And because HE is parallel to KC, one of the sides of the triangle DKC, as CE to ED, so is...
Side 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...