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 Książki Książki 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 Arithmetic, Algebra, and Geometry - Strona 170
autor: George Lees - 1826
Pełny widok - Informacje o książce ## Euclid's Elements of Geometry: From the Latin Translation of Commandine. To ...

John Keill - 1723 - Liczba stron: 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...
Pełny widok - Informacje o książce ## Euclid's Elements of Geometry,: From the Latin Translation of Commandine. To ...

Euclid, John Keill - 1733 - Liczba stron: 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...
Pełny widok - Informacje o książce ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - Liczba stron: 466
...greater than a right angle. but, by the Hypothefis, it is lefs than a right angle ; which is abfurd. Therefore the angles ABC, DEF are not unequal, that...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...
Pełny widok - Informacje o książce ## Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books

Euclid - 1765 - Liczba stron: 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...remaining angle at c is equal to the remaining angle at F : Therefore the triangles ABc, DEF are equiangular. Again, let us fuppofe each of the angles c, F...
Pełny widok - Informacje o książce ## The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - Liczba stron: 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...
Pełny widok - Informacje o książce ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - Liczba stron: 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...
Pełny widok - Informacje o książce ## The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - 1781 - Liczba stron: 309
...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...
Pełny widok - Informacje o książce ## The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - Liczba stron: 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...
Pełny widok - Informacje o książce ## Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - 1795 - Liczba stron: 400
...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. QED PROP. XXVIII. THE OR. TN equal circles, equal ftraight lines cut off equal...
Pełny widok - Informacje o książce ## The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - Liczba stron: 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...
Pełny widok - Informacje o książce