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الكتب الكتب 1 - 10 من 56 فيBut by the hypothesis, it is less than a right angle ; which is absurd. Therefore....
" But by the hypothesis, it is less than a right angle ; which is absurd. Therefore the angles ABC, DEF are not unequal, that is, they are equal : And the angle at A is equal to the angle at D ; wherefore... "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - الصفحة 166
بواسطة John Playfair - 1795 - عدد الصفحات: 400
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Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - عدد الصفحات: 364
...the Angle at A is one half of the Angle BGC; and the Angle at D one half of the Angle EHF. Therefore the Angle at A is equal to the Angle at D. Wherefore Angles, that ftand upon equal Circumferences in equal Circles•, are equal to each other, whether...
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Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - عدد الصفحات: 393
...the Angle at A is one half of the Angle BGC; and the Angle at D one half of the Angle EHF. Therefore the Angle at A is equal to the Angle at D. Wherefore Angles, that ft and upon equal Circumferences in equal Circles, are equal to each other, whether they...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - عدد الصفحات: 466
...BGC is lefs than a right angle, and the adjacent angle AGB muft be greater t- f3- «• than a right angle g. But it was proved that the angle AGB is equal...equal, and the angle at A is equal to the angle at D ; Book VI. wherefore the remaining angle at C is equal to the remaining angle at F. therefore the triangle...
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Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - عدد الصفحات: 464
...is abfurd: "Therefore the angle ABC is not unequal to the angle DEF ; they are therefore equal. But the angle at A is equal to the angle at D ; wherefore...equal to the remaining angle at F : Therefore the triangles ABc, DEF are equiangular. Again, let us fuppofe each of the angles c, F to be not iels than...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - عدد الصفحات: 520
...: And the angle at A is half of the angle BGC, and the angle at D half of the angle EHF : Therefore the angle at A is equal to the angle at D. "Wherefore, in equal circles, &c. Q^ED PROP. Book III.' PROP. XXVIII THEO R. TN equal circles, equal ftraight lines...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - عدد الصفحات: 466
...than a right angle; which is abfurd. Therefore the angles ABC, DEF are not unequal, that is, Book Vf they are equal. and the angle at A is equal to the angle at D ; I wherefore the remaining angle at C is equal to the remaining angle at F. thvrefore the triangle...
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The elements of Euclid: with dissertations intended to assist and ..., المجلد 1

James Williamson - 1781
...and the angle at A is half of the angle BGC ; and the angle at D is half of the angle EHF : wherefore the angle at A is equal to the angle at D. Wherefore in equal circles, the angles which ftand upon equal cir- Book in. cumferences are equal to one another...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - عدد الصفحات: 520
...it : And the angle A is half of the angle BGC, and the angle at D half of the angle EliF : Therefore the angle at A is equal to the angle at D Wherefore, in equal circles, &e. Q. E D. PROP. .1. i PROP. XXVIII. THEO R. Book in. "IN equal circles, equal ftraight...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - عدد الصفحات: 351
...S. ig i7- 1• h i3. i. BooK VI. Therefore the angles ABC, DEF are not unequal, that is, \~s*,T>*J they are equal; and the angle at A is equal to the angle at D • therefore the remaining angle at C is equal to the remaining angle at F : Wherefore the triangle...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...it. and the angle at A is half of the angle BGC, and the angle at D half of the angle EHF. therefore the angle at A is equal to the angle at D. Wherefore, in equal circles, &c. QJE. D. PROP. XXVHI. THEOR, IN equal circles, equal ftraight lines cut off equal...
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