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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 ... - Σελίδα 209
των Euclides - 1874
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## The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 σελίδες
...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...

## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889 - 354 σελίδες
...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...

## The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...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...

## Examination Papers

University of Toronto - 1900 - 1160 σελίδες
...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...

## The Contents of the Fifth and Sixth Books of Euclid

Euclid, Micaiah John Muller Hill - 1900 - 190 σελίδες
...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...

## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 σελίδες
...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...

## Calendar

University of St. Andrews - 1903 - 764 σελίδες
...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...

## Abraham Lincoln: The Prairie Years,

Carl Sandburg - 1926 - 528 σελίδες
...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...

## Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 σελίδες
...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...

## Calendar

University of Cambridge - 1870 - 782 σελίδες
...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...