 | Euclides - 1884 - 434 Seiten
...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 Seiten
...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 Seiten
...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 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. Use this proportion to prove that the following construction may be used to bisect a given triangle... | |
 | Euclid, Micaiah John Muller Hill - 1900 - 190 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 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. Pass School. Group C. Elements of Mechanics. I. 1. Explain the triangle of forces. Find the resultant... | |
 | University of Cambridge - 1870 - 782 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. Two straight lines are given in position and a third straight line is drawn so as to cut off a triangle... | |
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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. 
