Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To which is Added, A Treatise of the Nature of Arithmetic of Logarithms; Likewise Another of the Elements of Plain and Spherical Trigonometry; with a Preface...Tho. Woodward at the Half-Moon, between the Two Temple-Gates in Fleet-street; and sold by, 1733 - 397 sider |
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Resultat 1-5 av 11
Side 191
... Cylinder is that fixed Right Line about which the Parallelogram is turned . XXIII . And the Bafes of a Cylinder are the Circles that be defcribed by the Motion of the two oppo- fite Sides of the Parallelogram . XXIV . Similar Cones and ...
... Cylinder is that fixed Right Line about which the Parallelogram is turned . XXIII . And the Bafes of a Cylinder are the Circles that be defcribed by the Motion of the two oppo- fite Sides of the Parallelogram . XXIV . Similar Cones and ...
Side 254
... Cylinder , having the fame Bafe , and an equal Altitude . L ET a Cone have the fame Bafe as a Cylinder , viz . the Circle ABCD , and an Altitude equal to it . I fay the Cone is a third Part of the Cylinder ; that is , the Cylinder is ...
... Cylinder , having the fame Bafe , and an equal Altitude . L ET a Cone have the fame Bafe as a Cylinder , viz . the Circle ABCD , and an Altitude equal to it . I fay the Cone is a third Part of the Cylinder ; that is , the Cylinder is ...
Side 255
... Cylinder , and this Prifm will be greater than one half of the Cylinder ; because , if a Square be circumfcribed about the Circle ABCD , ' the infcrib'd Square will be one half of the circumfcribed Square ; and if a Prism be erected ...
... Cylinder , and this Prifm will be greater than one half of the Cylinder ; because , if a Square be circumfcribed about the Circle ABCD , ' the infcrib'd Square will be one half of the circumfcribed Square ; and if a Prism be erected ...
Side 256
... Cylinder ; and doing this continually , we fhall at last have certain Portions of the Cylinder left , that are less than the Excess by which the Cylinder exceeds triple the Cone . Now let these Portions remaining be AE , EB , BF , FC ...
... Cylinder ; and doing this continually , we fhall at last have certain Portions of the Cylinder left , that are less than the Excess by which the Cylinder exceeds triple the Cone . Now let these Portions remaining be AE , EB , BF , FC ...
Side 257
... Cylinder , Let these Segments be those that are on AE , EB , BF , FC , CG , GD , DH , HA , and then the remaining ... Cylinder ; but the Pyramid whose Base is the Polygon AEBF CGDH , and Ver- tex the fame as that of the Cone , is one ...
... Cylinder , Let these Segments be those that are on AE , EB , BF , FC , CG , GD , DH , HA , and then the remaining ... Cylinder ; but the Pyramid whose Base is the Polygon AEBF CGDH , and Ver- tex the fame as that of the Cone , is one ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Ingen forhåndsvisning tilgjengelig - 2014 |
Vanlige uttrykk og setninger
adjacent Angles alfo equal alſo Angle ABC Angle BAC Bafe Baſe becauſe bifected Center 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 firſt folid Parallelepipedon fome fore ftand fubtending given Right Line Gnomon greater join leffer lefs leſs likewife Logarithm Magnitudes Meaſure Number Parallelogram perpendicular Polygon Priſms Prop PROPOSITION Pyramid Pyramid ABCG Quadrant Ratio Rectangle Rectangle contained remaining Angle Right Angles Right Line AC Right-lined Figure Segment ſhall Sine Solid Sphere Subtangent themſelves THEOREM theſe thofe thoſe Triangle ABC Unity Vertex the Point Wherefore whofe Bafe whole whoſe Baſe
Populære avsnitt
Side 66 - 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 163 - 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 112 - And in like manner it may be shown that each of the angles KHG, HGM, GML is equal to the angle HKL or KLM ; therefore the five angles GHK, HKL, KLM, LMG, MGH...
Side 90 - IN a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Side 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...
Side 10 - ... 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 equal to DE, and AC to DF ; but the base CB greater than the base EF ; the angle BAC is likewise greater than the angle EDF.
Side 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Side 33 - ... therefore their other sides are equal, each to each, and the third angle of the one to the third angle of the other, (i.
Side 113 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.