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 57
Therefore the Angle CĂE , or AEC , is half a Right one . By the same way of
Reasoning , the Angle CEB , or EBC , is half a Right one . Therefore AEB is a
Right Angle , And since EBC is half a Right Angle , DBG will falfo | 15. . be half a
Right ...
Therefore the Angle CĂE , or AEC , is half a Right one . By the same way of
Reasoning , the Angle CEB , or EBC , is half a Right one . Therefore AEB is a
Right Angle , And since EBC is half a Right Angle , DBG will falfo | 15. . be half a
Right ...
Σελίδα 239
remaining there be again taken a Part greater than its half , and this be done
continually , there will remain a Magnitude at last that shall be less than the
Magnitude C. For C being fome Number of Times multiplied , will become greater
than the ...
remaining there be again taken a Part greater than its half , and this be done
continually , there will remain a Magnitude at last that shall be less than the
Magnitude C. For C being fome Number of Times multiplied , will become greater
than the ...
Σελίδα 240
This Square E F GH will be greater than half the Circle EF GH ; because if we
draw Tangents to the Circle thro ' the Points E , F , G , H , the Square EFGH will
be half that described about the Circle ; but the Circle is less than the Square ...
This Square E F GH will be greater than half the Circle EF GH ; because if we
draw Tangents to the Circle thro ' the Points E , F , G , H , the Square EFGH will
be half that described about the Circle ; but the Circle is less than the Square ...
Σελίδα 288
In a plain Triangle , the Sum of the Legs , the Difference of the Legs , the Tangent
of the half Sum of the Angles at the Base , and the Tangent of one half their
Difference , are proportional . ET there be a Triangle ABC , whose Legs are AB ,
BC ...
In a plain Triangle , the Sum of the Legs , the Difference of the Legs , the Tangent
of the half Sum of the Angles at the Base , and the Tangent of one half their
Difference , are proportional . ET there be a Triangle ABC , whose Legs are AB ,
BC ...
Σελίδα 289
7 3 F one half of the Sum be added to one half of the 1 Difference , the Aggregate
dhall be equal to the 17 24 . 41 z . 20 3 Ž 24 48 greater of the Quantities ; and if
from one half of the Sum be taken one half of the Difference , the Refidue shall ...
7 3 F one half of the Sum be added to one half of the 1 Difference , the Aggregate
dhall be equal to the 17 24 . 41 z . 20 3 Ž 24 48 greater of the Quantities ; and if
from one half of the Sum be taken one half of the Difference , the Refidue shall ...
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 |