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 242
... Pyramid . ET there be a Pyramid , whose Bafe is the Tri- angle ABC ; and Vertex the Point D. I fay , the Pyramid ABCD may be divided into two Pyra- mids equal and fimilar to one another , having trian- gular Bafes , and fimilar to the ...
... Pyramid . ET there be a Pyramid , whose Bafe is the Tri- angle ABC ; and Vertex the Point D. I fay , the Pyramid ABCD may be divided into two Pyra- mids equal and fimilar to one another , having trian- gular Bafes , and fimilar to the ...
Seite 245
... Pyramids made by the former Divifion be conceived to be divided , and this be done continually . I fay , as the Bafe ABC is to the Bafe DEF , fo are all the Prisms that are in the Pyramid ABCG to all the Prisms that are in the Pyramid ...
... Pyramids made by the former Divifion be conceived to be divided , and this be done continually . I fay , as the Bafe ABC is to the Bafe DEF , fo are all the Prisms that are in the Pyramid ABCG to all the Prisms that are in the Pyramid ...
Seite 246
... ABC to the Bafe DE F. Therefore alfo as the Tri- angle ABC is to the Triangle DEF , fo are the two Prisms that are in the Pyramid ABCG , to the two Prisms that are in the Pyramid DEFH . If in the fame Manner each of the Pyramids OMNG ...
... ABC to the Bafe DE F. Therefore alfo as the Tri- angle ABC is to the Triangle DEF , fo are the two Prisms that are in the Pyramid ABCG , to the two Prisms that are in the Pyramid DEFH . If in the fame Manner each of the Pyramids OMNG ...
Seite 247
... Pyramid ABCG to the Pyramid DEF H. For if it be not fo , then it fhall be as the Bafe ABC is to the Base DEF , fo is the Pyramid ABCG to fome Solid , greater or lefs than the Pyramid DEFH . First , let it be to a Solid lefs , which let ...
... Pyramid ABCG to the Pyramid DEF H. For if it be not fo , then it fhall be as the Bafe ABC is to the Base DEF , fo is the Pyramid ABCG to fome Solid , greater or lefs than the Pyramid DEFH . First , let it be to a Solid lefs , which let ...
Seite 248
... Pyramid ftrated ABCG to fome Solid less than the Pyramíd DEF H. After the fame Manner we demonftrate that the Base DEF to the Bafe ABC , is not as the Pyramid DEFH to fome Solid lefs than the Pyramid ABCG . Therefore , I fay , neither ...
... Pyramid ftrated ABCG to fome Solid less than the Pyramíd DEF H. After the fame Manner we demonftrate that the Base DEF to the Bafe ABC , is not as the Pyramid DEFH to fome Solid lefs than the Pyramid ABCG . Therefore , I fay , neither ...
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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
Beliebte Passagen
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.