 | Euclid - 1868 - 138 pagine
...the equal angles reciprocally proportional ; and triangles which have an angle in the one equal to an angle in the other, and their sides about the equal...reciprocally proportional, are equal to one another. PART I. Statement — Let the triangles ABD and CBL be equal, and let their angles at B be equal ;... | |
 | Robert Potts - 1868 - 434 pagine
...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,... | |
 | Euclides, James Hamblin Smith - 1872 - 376 pagine
...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... | |
 | Bombay city, univ - 1874 - 648 pagine
...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... | |
 | Euclides - 1874 - 342 pagine
...iliall have those angles 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 BAC to the angle EDF, and the sides about two other angles ABC, DEF proportionals,... | |
 | alexander thom - 1875 - 758 pagine
...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... | |
 | Sir George Greenhill - 1876 - 318 pagine
...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... | |
 | Robert Potts - 1876 - 446 pagine
...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,... | |
 | D. Tierney - 1877 - 126 pagine
...: triangle BЕС : : AF: FB; but, since triangle BEC=2 triangle DEC, therefore1 AE:ED::2AF:FB. 10. Equal triangles which have one angle of the one equal...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... | |
 | Āryabhaṭa - 1878 - 100 pagine
...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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ABC, DEF have one angle in the one equal to one angle in the other, viz. the angle BAC to the angle EDF, and the sides about... 
