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" ... triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another. "
The Elements of Euclid, containing the first six books, with a selection of ... - Seite 209
von Euclides - 1874
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 Seiten
...have those angles equal about which the sides are proportionals, Let the two triangles ABC, DEFh&ve one angle in the one equal to one angle in the other, viz. the angle BA C to the angle EDF, and the sides about two other angles ABC, DEF proportionals,...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 376 Seiten
...other proportionally. And Conversely, Triangles, which home one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. Let the sides about the equal / s be reciprocally proportional, that is, let CA be to AD as EA is to AB....
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The Bombay university calendar, Band 1

Bombay city, univ - 1874 - 648 Seiten
...reciprocally proportional ; and parallelograms •which have one acglo of the one equal to one angle of tho other, and their sides about the equal angles, reciprocally proportional, are equal to one another. Let AC! be the diameter of tho circle ABFG ; from O the 10 centre draw OFC perpendicular to AO, cutting...
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the queens university calander

alexander thom - 1875 - 756 Seiten
...than one more remote. Through a given point within a circle draw the shortest chord. 3. Two triangles have one angle in the one equal to one angle in the other, and the sides about the equal angles proportionals ; what inference can you draw concerning the triangles...
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Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875

Sir George Greenhill - 1876 - 318 Seiten
...angles reciprqcally proportional ; and triangles which have one angle of the one equal to one angle of the other and their sides about the equal angles reciprocally proportional are equal to one anothen If ABC, ADE be two such triangles placed so that BA, AE are in a straight line, as also CA...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 Seiten
...shall have those any lea equal about which the sides are proportionals. Let the two triangles ABC, DEF have one angle in the one equal to one angle in the other, , viz. the angle ISA C to the angle EDF, and the sides about two other angles ABC, DEF proportionals,...
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Solutions to the mathematical examination papers set for admission to the ...

D. Tierney - 1877 - 126 Seiten
...have their sides about the equal angles reciprocally proportional; and, conversely, triangles which have one angle in the one equal to one angle in the...reciprocally proportional, are equal to one another. ALGEBRA. TUESDAY, 19TH ЛШЕ. 1877. 10 AM то 1.0. PM 1. If (x) and (y) are whole numbers, explain...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 Seiten
...proportional. And conversely triangles and parallelograms having an angle of the one equal to an angle of the other and their sides about the equal angles reciprocally proportional, are equal to one another. First, let ADC and EDB be two triangles, having their angles ADC and BDE equal. The sides DC, DA andBD,...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 412 Seiten
...angles reciprocally proportional ; and triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles...reciprocally proportional, are equal to one another. II. Elements of Geometry. II. 1. Define the terms — degree, grade, unit of circular measure. Reduce...
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The Madras University Calendar, Band 1

University of Madras - 1879 - 674 Seiten
...proportional ; and triangles which have one angle of the one equal to one angle of the other, and the sides about the equal angles reciprocally proportional, are equal to one another. side of AC to AB, any straight line AF is drawn cutting BC produced in F;and through D,E, the straight...
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