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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Resultat 1-5 av 7
Side 111
For the same Reason , the Angles at the Points Bs D , are Right Angles . And
because FCK is a Right Angle , the Square of FK will be * equal to the Squares of
FC , * 47. to CK : And for the same Reason , the Square of FK is equal to the ...
For the same Reason , the Angles at the Points Bs D , are Right Angles . And
because FCK is a Right Angle , the Square of FK will be * equal to the Squares of
FC , * 47. to CK : And for the same Reason , the Square of FK is equal to the ...
Side 187
For the same Reason , the Circumference NE is the same Multiple of the
Circumference EF , as the Sector HEN is of the Sector HEF ; but if the
Circumference BL be equal to the Circumference EN , then the Sector BG'L will
be equal to the ...
For the same Reason , the Circumference NE is the same Multiple of the
Circumference EF , as the Sector HEN is of the Sector HEF ; but if the
Circumference BL be equal to the Circumference EN , then the Sector BG'L will
be equal to the ...
Side 202
FAR OR , if it is poffible , let two Right Lincs AB , AC , be erected perpendicular to
a given Plane on the same Side , at a ... For the same Reason , B.E is also a
Right Angle ; wherefore the Angle CAE is equal to BAE , and they are both in one
...
FAR OR , if it is poffible , let two Right Lincs AB , AC , be erected perpendicular to
a given Plane on the same Side , at a ... For the same Reason , B.E is also a
Right Angle ; wherefore the Angle CAE is equal to BAE , and they are both in one
...
Side 211
For the same Reason , the Angle DEF is equal to the Angle MXN , and the Angle
GHK to the Angle NXL . Therefore the three Angles ABC , DEF , GHK , are equal
to the three Angles LXM , MXN , N - XL . But the three Angles L XM , MXN , NXL ...
For the same Reason , the Angle DEF is equal to the Angle MXN , and the Angle
GHK to the Angle NXL . Therefore the three Angles ABC , DEF , GHK , are equal
to the three Angles LXM , MXN , N - XL . But the three Angles L XM , MXN , NXL ...
Side 242
Every Pyramid having a triangular Base may be divided into two Pyramids , equal
and similar to one another , having triangular Baless and similar to the whole
Pyramid , and into two equal ... For the same Reason , HK also is parallel to AB .
Every Pyramid having a triangular Base may be divided into two Pyramids , equal
and similar to one another , having triangular Baless and similar to the whole
Pyramid , and into two equal ... For the same Reason , HK also is parallel to AB .
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ... John Keill Uten tilgangsbegrensning - 1723 |
Vanlige uttrykk og setninger
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 Radius 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 Terms THEOREM thereof theſe third thoſe thro touch Triangle Triangle ABC Unity Wherefore 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 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.
Side 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...
Side 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.
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 9 - ... 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 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.
Bibliografisk informasjon
| Tittel | 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 |
| Forfatter | John Keill |
| Redaktører | Mr. Cunn (Samuel), John Ham |
| Utgiver | T. Woodward, 1733 |
| Original fra | University of Michigan |
| Digitalisert | 8. jun 2007 |
| Lengde | 397 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |