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MYSTERIES OF THE EQUILATERAL TRIANGLE - HIKARI Ltd

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Index 225<br />

Einstein, A. 84, 167, 172<br />

Einthoven’s Triangle (electrocardiography)<br />

81-82<br />

Eisenstein, Gotthold 167<br />

Elder Wand 28<br />

electrical axis (heart) 81-82<br />

electrocardiography vi<br />

electrohydrodynamic (EHD) device<br />

84<br />

electromagnetics 102<br />

electron microscopy 99<br />

Elements iv, 1, 150, 161, 173<br />

ellipsoidal shape 34-35<br />

Emperor Justinian 150<br />

Emperor Rudolph II 155<br />

Eötvös Lorand University (Hungary)<br />

177<br />

equation (equilateral triangle) 31<br />

equiangularity 69<br />

equilateral<br />

shadows 51<br />

spirals 69<br />

triangle i-vii, 1-198<br />

triangles and triangles 43<br />

Equilateral Triangle Method (surveying)<br />

78<br />

Equilateral Triangle Rule (speaker<br />

placement) 92-93<br />

equilateral triangular<br />

anemometer 96<br />

billiards 118-120, 180<br />

fractals 58<br />

lattice 60-61, 120<br />

membrane 100-101<br />

microphone placement 92-93<br />

mosaic 61<br />

prism 100-101<br />

rotor 57<br />

equilic quadrilateral 48<br />

equitriangular unit of area (etu) 33<br />

Erdély, Dániel 128<br />

Erdös-Mordell inequality 53<br />

Erdös-Moser configuration 55<br />

Erdös number 177-178<br />

Erdös, Paul 177-178, 187<br />

Erdös Sphere Coloring Problem 110-<br />

111<br />

error-correcting code 91-92<br />

ESA 84<br />

Escher, Maurits 176, 194<br />

Essay on Conic Sections 159<br />

Essay on the Foundations of Geometry<br />

173<br />

Eternity Puzzle 124-125<br />

ETH-Zurich 169, 172<br />

Euclidean geometry 126-127<br />

Euclid of Alexandria iv, 1, 30, 150-<br />

152, 154, 158, 183<br />

Eudoxus 149-150<br />

Euler, Leonhard 11, 125, 161, 184<br />

Euler line 46, 161<br />

Euler’s inequality 52, 161<br />

Eves, Howard 66<br />

excenter 46<br />

excentral triangle 46<br />

excentral triangle iteration 46<br />

Eye of God 18<br />

Fagnano, Giovanni 54<br />

Fagnano, Giulio 54<br />

Fagnano orbit 118-120<br />

Fagnano Problem 54, 119, 170<br />

fallout shelter (triangular) 196<br />

Father 18<br />

Fejér, L. 177<br />

Fermat, Pierre de 35, 50, 153, 156,<br />

159, 184<br />

Fermat point 35-36, 39, 158<br />

Fermat prime 164<br />

Fermat’s Factorization Method 157<br />

Fermat’s Last Theorem 157, 161<br />

Fermat’s Little Theorem 157<br />

Fermat’s Method of Descent 157<br />

Fermat’s Polygonal Number Conjec-

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