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 Seiten |
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Seite 8
... Plane , as the first fix Elements were , claimed by a Right of Order , to be handled before Planes interfected by Planes , or the more com- pounded Doctrine of Solids ; and the Proper- ties of Numbers were neceffary to the Rea- foning ...
... Plane , as the first fix Elements were , claimed by a Right of Order , to be handled before Planes interfected by Planes , or the more com- pounded Doctrine of Solids ; and the Proper- ties of Numbers were neceffary to the Rea- foning ...
Seite 10
... falls without . See my Solutions of these two Cafes in Page 323 , The Determination of the 3d Cafe of Oblique Plane Triangles , fee in Page 325 . SAM . CUNN . EUCLID's ELEMENTS . BOOK I. I. DEFINITIONS . Α ' Mr. CUNN'S PREFACE .
... falls without . See my Solutions of these two Cafes in Page 323 , The Determination of the 3d Cafe of Oblique Plane Triangles , fee in Page 325 . SAM . CUNN . EUCLID's ELEMENTS . BOOK I. I. DEFINITIONS . Α ' Mr. CUNN'S PREFACE .
Seite 10
... Plane Superficies , is that which lieth even- ly between its Lines . VIII . A Plane Angle , is the Inclination of two Lines to one another in the fame Plane , which touch each other , but do not both lie in the fame Right Line . IX . If ...
... Plane Superficies , is that which lieth even- ly between its Lines . VIII . A Plane Angle , is the Inclination of two Lines to one another in the fame Plane , which touch each other , but do not both lie in the fame Right Line . IX . If ...
Seite 10
... Plane , which if infinitely produc'd both Ways , would never meet . I. G POSTULATES . RANT that a Right Line may be drawn from any one Point to another . II . That a finite Right Line may be continued di- rectly forwards . III . And ...
... Plane , which if infinitely produc'd both Ways , would never meet . I. G POSTULATES . RANT that a Right Line may be drawn from any one Point to another . II . That a finite Right Line may be continued di- rectly forwards . III . And ...
Seite 189
... Plane , when it makes Right Angles with all the Lines that touch it , and are drawn in the faid Plane . 1 IV . A Plane is perpendicular to a Plane , when the Right Lines in one Plane , drawn at Right An- gles to the common Section of the ...
... Plane , when it makes Right Angles with all the Lines that touch it , and are drawn in the faid Plane . 1 IV . A Plane is perpendicular to a Plane , when the Right Lines in one Plane , drawn at Right An- gles to the common Section of the ...
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. to ... John Keill Keine Leseprobe verfügbar - 2014 |
Häufige Begriffe und Wortgruppen
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
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Seite 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.
Seite 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.
Seite 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...
Seite 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.
Seite 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...
Seite 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.
Seite 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Seite 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.
Seite 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.