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 11
If two Triangles have two sides of the one equal to two sides of the other , each to each , and the Bases equal , then the Angles contained under the equal Sides will be equal . ET the two Triangles be ABC , DEF , having L DF , each to ...
If two Triangles have two sides of the one equal to two sides of the other , each to each , and the Bases equal , then the Angles contained under the equal Sides will be equal . ET the two Triangles be ABC , DEF , having L DF , each to ...
Seite 22
If two Triangles have two sides of the one , equal to two sides of the other , each to each , and the Angle of the one , contained under the equal Right Lines , greater than the correspondent Angle of the other ; then the Base of the ...
If two Triangles have two sides of the one , equal to two sides of the other , each to each , and the Angle of the one , contained under the equal Right Lines , greater than the correspondent Angle of the other ; then the Base of the ...
Seite 23
Therefore if two Triangles have two Sides of the one , equal to two Sides of the other , each to each , and the Angle of the one , contained under the equal Right Lines , greater than the Correspondent Angle of the other ; then the Bafe ...
Therefore if two Triangles have two Sides of the one , equal to two Sides of the other , each to each , and the Angle of the one , contained under the equal Right Lines , greater than the Correspondent Angle of the other ; then the Bafe ...
Seite 24
If , therefore , two Triangles have two Sides of the one equal to two sides of the other , each to each , and the Base of the one greater than the Bafe of the other ; they fall also have the Angles , contained under the equal Sides ...
If , therefore , two Triangles have two Sides of the one equal to two sides of the other , each to each , and the Base of the one greater than the Bafe of the other ; they fall also have the Angles , contained under the equal Sides ...
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added alſo Altitude Angle ABC Baſe becauſe Center Circle Circle ABCD Circumference common Cone conſequently contained Cylinder demonſtrated deſcribed Diameter Difference Diſtance divided double draw drawn equal equal Angles equiangular Equimultiples exceeds fall fame firſt fore four fourth given greater half join leſs likewiſe Logarithm Magnitudes Manner mean Multiple Number oppoſite parallel Parallelogram perpendicular Place Plane Point Polygon Priſms produced Prop Proportion PROPOSITION proved Pyramid Ratio Rectangle remaining Right Angles Right Line Right-lined Figure ſaid ſame ſame Reaſon ſay ſecond Segment Series ſhall ſhall be equal Sides ſimilar ſince Sine Solid ſome Sphere Square ſtand taken Term THEOREM thereof theſe third thoſe thro touch Triangle Triangle ABC Unity Wherefore whole whoſe Baſe
Beliebte Passagen
Seite 64 - 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 161 - 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 110 - 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 88 - 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 11 - ... 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 17 - 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 111 - 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.
Bibliografische Informationen
| Titel | 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... |
| Autoren | Euclid, John Keill |
| Herausgeber | Mr. Cunn (Samuel), John Ham |
| Übersetzt von | John Keill |
| Mitwirkende | John Keill, Mr. Cunn (Samuel) |
| Ausgabe | 3 |
| Verlag | Tho. Woodward at the Half-Moon, between the Two Temple-Gates in Fleet-street; and sold by, 1733 |
| Original von | University of Michigan |
| Digitalisiert | 8. Juni 2007 |
| Länge | 397 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |