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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Σελίδα 66
THEOREM . if in a Circle a Right Line drawn thro ' the Center , cuts any other
Right Line not drawn throm the Center , into equal Parts , it fall cut it at Right
Angles ; and if it cuts it at Right Angles , it all cut it into two equal Parts . ET ABC
be a ...
THEOREM . if in a Circle a Right Line drawn thro ' the Center , cuts any other
Right Line not drawn throm the Center , into equal Parts , it fall cut it at Right
Angles ; and if it cuts it at Right Angles , it all cut it into two equal Parts . ET ABC
be a ...
Σελίδα 67
If in a Circle two Right Lines not being drawn tbro ' the Center , cut each other ,
they will not cut each other into two equal Parts . L ET ABCD be a Circle , wherein
two Right Lines AC , BD , not drawn thro ' the Center , cut each other in the Point
...
If in a Circle two Right Lines not being drawn tbro ' the Center , cut each other ,
they will not cut each other into two equal Parts . L ET ABCD be a Circle , wherein
two Right Lines AC , BD , not drawn thro ' the Center , cut each other in the Point
...
Σελίδα 68
Now because E is the Center of the Circle ABC , CE will be equal to EF . Again ,
because E is the Center of the Circle CDG , ČE is equal to E G. But CE has been
shewn to be equal to EF . Therefore E F shall be equal to EG , a less to a greater
...
Now because E is the Center of the Circle ABC , CE will be equal to EF . Again ,
because E is the Center of the Circle CDG , ČE is equal to E G. But CE has been
shewn to be equal to EF . Therefore E F shall be equal to EG , a less to a greater
...
Σελίδα 77
THEOREM . Equal Right Lines in a Circle are equally distant from the Center ;
and Right Lines , which are equally distant from the Center , are equal between
themselves . L ET ABDC be a Circle , wherein are the equal Right Lines AB , CD .
THEOREM . Equal Right Lines in a Circle are equally distant from the Center ;
and Right Lines , which are equally distant from the Center , are equal between
themselves . L ET ABDC be a Circle , wherein are the equal Right Lines AB , CD .
Σελίδα 82
Therefore , if any Right Line touches a Circle , and from the Center to the point of
Contatt a Right Line be drawn ; that Line will be perpendicular to the Tangent ;
which was to be demonstrated . PROPOSITION XIX . 1 THEOREM . If any Right ...
Therefore , if any Right Line touches a Circle , and from the Center to the point of
Contatt a Right Line be drawn ; that Line will be perpendicular to the Tangent ;
which was to be demonstrated . PROPOSITION XIX . 1 THEOREM . If any Right ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 15 - CF, and the triangle AEB to the triangle CEF, and the remaining angles to the remaining angles, each to each, to which...
Σελίδα 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.
Σελίδα 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.
Πληροφορίες βιβλιογραφίας
| Τίτλος | 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 |
| Συγγραφέας | John Keill |
| Επιμελητές | Mr. Cunn (Samuel), John Ham |
| Εκδότης | T. Woodward, 1733 |
| Πρωτότυπο από | το Πανεπιστήμιο του Μίτσιγκαν |
| Ψηφιοποιήθηκε στις | 8 Ιουν. 2007 |
| Μέγεθος | 397 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |