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 |
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Página 8
angle ABC will co - incide with the whole Triangle DEF , and will be equal thereto ; and the remaining † Ax . 3. Angles ... Then because AF is equal to AG , and A B to AC , the two Right Lines FA , AC , are equal to the two Lines GA ...
angle ABC will co - incide with the whole Triangle DEF , and will be equal thereto ; and the remaining † Ax . 3. Angles ... Then because AF is equal to AG , and A B to AC , the two Right Lines FA , AC , are equal to the two Lines GA ...
Página 9
It hath likewise been proved , that the Angles FBC , GCB , under the Base , are equal ; therefore the Angles at the Base of Isosceles Triangles are equal between themselves ; and if the equal Right Lines be produced , the Angles under ...
It hath likewise been proved , that the Angles FBC , GCB , under the Base , are equal ; therefore the Angles at the Base of Isosceles Triangles are equal between themselves ; and if the equal Right Lines be produced , the Angles under ...
Página 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 ...
Página 30
Hence it appears , that if one Angle of any Triangle be equal to the other two , that is a Right one ; because that the Angle adjacent to this Right one , is equal to the other two . But when adjacent Angles are equal , they are ...
Hence it appears , that if one Angle of any Triangle be equal to the other two , that is a Right one ; because that the Angle adjacent to this Right one , is equal to the other two . But when adjacent Angles are equal , they are ...
Página 43
In any Right - angled Triangle , the Square described upon the Side fubtending the Right Anglé , is equal to both the ... AC , the Squares GB , HC , and thro ' the Point A draw AL parallel to BD , or CE ; and let AD , FC , be joined .
In any Right - angled Triangle , the Square described upon the Side fubtending the Right Anglé , is equal to both the ... AC , the Squares GB , HC , and thro ' the Point A draw AL parallel to BD , or CE ; and let AD , FC , be joined .
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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...
Página 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.
Página 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...
Página 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.
Página 17 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Página 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.
Página 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.
Información bibliográfica
| Título | 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 |
| Autores | Euclid, John Keill |
| Editores | Mr. Cunn (Samuel), John Ham |
| Traducido por | John Keill |
| Colaboradores | John Keill, Mr. Cunn (Samuel) |
| Edición | 3 |
| Editor | T. Woodward, 1733 |
| Procedencia del original | Universidad de Michigan |
| Digitalizado | 8 Jun. 2007 |
| Largo | 397 páginas |
| Exportar cita | BiBTeX EndNote RefMan |