 | Woolwich roy. military acad - 1884 - 148 pagine
...DE, FC, cutting AB in G and H. 11. 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. ARITHMETIC. (Including the use of Common Logarithms.) [NB—Great importance will be attacked to... | |
 | Euclides - 1884 - 434 pagine
...reciprocally proportional. Conversely : 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. (1) Let BAC, DAE be equal triangles having L BAC = L DAE: it is required to prove that AC : AD = AE... | |
 | E. J. Brooksmith - 1889 - 356 pagine
...Join DE, FC, cutting AB in G and H. n. 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. If ABC is a triangle right-angled at B, and BD the perpendicular on ACis produced to E so that DE is... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pagine
...proportional. (2) Conversely : — 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. (1) Let ABC, ADE be equal As, having their L s at A equal; then CA : AD :: EA : AB. BD Let CA, AD be... | |
 | University of Toronto - 1900 - 1164 pagine
...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. Use this proportion to prove that the following construction may be used to bisect a given triangle... | |
 | Euclid, Micaiah John Muller Hill - 1900 - 190 pagine
...equal to one angle of the other have their sides about the equal angles reciprocally proportional. (ii) Triangles which have one angle in the one equal to one angle in the other and the sides about the equal angles reciprocally proportional are equal in area. SECTION IX. PROPOSITIONS... | |
 | Eldred John Brooksmith - 1901 - 368 pagine
...equiangular pentagon. 11. 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. , Two straight lines AOC, BOD intersect in 0 and the lines AB, CD are drawn. From the greater of the... | |
 | University of St. Andrews - 1903 - 762 pagine
...reciprocally proportional, and prove thai parallelograms which have an angle of the one equal to an angle of the other and their sides about the equal angles reciprocally proportional are equal in area. TP and TQ are tangents to a circle whose centre is C, CT meets PQ in N and the circle in A... | |
 | Carl Sandburg - 1926 - 528 pagine
...reciprocally proportional; and parallelograms 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." "In this troublesome world we are never quite satisfied," he remarked once. Dreaminess filtered through... | |
 | Euclid - 1908 - 196 pagine
...one angle of the other have their sides about the equal angles reciprocally proportional. (ii) Two triangles which have one angle in the one equal to one angle in the other and the sides about the equal angles reciprocally proportional are equal in area. These propositions may... | |
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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... 
