Book contents
- Frontmatter
- INTRODUCTION
- Dedication
- PREFACE TO THE READER
- NOTES TOUCHING THE GENERAL LANGUAGE OF THE INDIANS OF PERU
- THE FIRST BOOK OF THE ROYAL COMMENTARIES OF THE YNCAS
- SECOND BOOK OF THE ROYAL COMMENTARIES OF THE YNCAS
- CHAPTER I OF THE IDOLATRY OF THE SECOND AGE, AND OF ITS ORIGIN
- CHAPTER II THE YNCAS SOUGHT THE TRUE GOD OUR LORD
- CHAPTER III THE YNCAS KEPT A IN A SACRED PLACE
- CHAPTER IV OF MANY GODS IMPROPERLY ATTRIBUTED TO THE INDIANS BY THE SPANISH HISTORIANS
- CHAPTER V OF MANY OTHER MEANINGS OF THE WORD HUACA
- CHAPTER VI WHAT AN AUTHOR SAYS CONCERNING THEIR GODS
- CHAPTER VII THEY KNEW OF THE IMMORTALITY OF THE SOUL, AND OF THE GENERAL RESURRECTION
- CHAPTER VIII OF THE THINGS THAT THEY SACRIFICED TO THE SUN
- CHAPTER IX OF THE PRIESTS, RITES, AND CEREMONIES, AND OF THE LAWS ATTRIBUTED TO THE FIRST YNCA
- CHAPTER X THE AUTHOR COLLATES HIS OWN STATEMENTS WITH THOSE OF THE SPANISH HISTORIANS
- CHAPTER XI THEY DIVIDED THE EMPIRE INTO FOUR DISTRICTS, AND REGISTERED THEIR VASSALS
- CHAPTER XII TWO DUTIES WHICH THE DECURIONS PERFORMED
- CHAPTER XIII CONCERNING CERTAIN LAWS THAT THE YNCAS INSTITUTED IN THEIR GOVERNMENT
- CHAPTER XIV THE DECURIONS GAVE AN ACCOUNT OF THE BIRTHS AND DEATHS
- CHAPTER XV THE INDIANS DENY THAT AN YNCA OF THE BLOOD ROYAL HAS EVER COMMITTED ANY CRIME WHATEVER
- CHAPTER XVI THE LIFE AND ACTS OF SINCHI ROCA THE SECOND KING OF THE YNCA DYNASTY
- CHAPTER XVII LLOQUE YUPANQUI, THIRD KING, AND THE MEANING OF HIS NAME
- CHAPTER XVIII TWO CONQUESTS MADE BY THE YNCA LLOQUE YUPANQUI
- CHAPTER XIX THE CONQUESTS OF HATUN-COLLA, AND THE ORIGIN OF THE COLLAS
- CHAPTER XX THE GREAT PROVINCE OF CHUCUITU IS REDUCED, AS WELL AS MANY OTHER PROVINCES
- CHAPTER XXI THE SCIENCES WHICH THE YNCAS HAD ACQUIRED: AND FIRST OF THEIR KNOWLEDGE OF ASTRONOMY
- CHAPTER XXII THEY UNDERSTOOD THE MEASUREMENT OF THE YEAR, AND THE SOLSTICES AND EQUINOXES
- CHAPTER XXIII THEY OBSERVED THE ECLIPSES OF THE SUN, AND WHAT THEY DID WHEN THOSE OF THE MOON OCCURRED
- CHAPTER XXIV THE MEDICINES THEY USED, AND THEIR MANNER OF EFFECTING CURES
- CHAPTER XXV OF THE MEDICINAL HERBS THEY USED
- CHAPTER XXVI OF THEIR KNOWLEDGE TOUCHING GEOMETRY, ARITHMETIC, AND MUSIC
- CHAPTER XXVII THE POETRY OF THE YNCAS AMAUTAS, WHO ARE PHILOSOPHERS, AND HARAVICUS OR POETS
- CHAPTER XXVIII OF THE FEW INSTRUMENTS WHICH THE INDIANS USED FOR VARIOUS PURPOSES
- THIRD BOOK OF THE ROYAL COMMENTARIES OF THE YNCAS
- FOURTH BOOK OF THE ROYAL COMMENTARIES OF THE YNCAS
- INDEX
CHAPTER XXVI - OF THEIR KNOWLEDGE TOUCHING GEOMETRY, ARITHMETIC, AND MUSIC
Published online by Cambridge University Press: 10 November 2010
- Frontmatter
- INTRODUCTION
- Dedication
- PREFACE TO THE READER
- NOTES TOUCHING THE GENERAL LANGUAGE OF THE INDIANS OF PERU
- THE FIRST BOOK OF THE ROYAL COMMENTARIES OF THE YNCAS
- SECOND BOOK OF THE ROYAL COMMENTARIES OF THE YNCAS
- CHAPTER I OF THE IDOLATRY OF THE SECOND AGE, AND OF ITS ORIGIN
- CHAPTER II THE YNCAS SOUGHT THE TRUE GOD OUR LORD
- CHAPTER III THE YNCAS KEPT A IN A SACRED PLACE
- CHAPTER IV OF MANY GODS IMPROPERLY ATTRIBUTED TO THE INDIANS BY THE SPANISH HISTORIANS
- CHAPTER V OF MANY OTHER MEANINGS OF THE WORD HUACA
- CHAPTER VI WHAT AN AUTHOR SAYS CONCERNING THEIR GODS
- CHAPTER VII THEY KNEW OF THE IMMORTALITY OF THE SOUL, AND OF THE GENERAL RESURRECTION
- CHAPTER VIII OF THE THINGS THAT THEY SACRIFICED TO THE SUN
- CHAPTER IX OF THE PRIESTS, RITES, AND CEREMONIES, AND OF THE LAWS ATTRIBUTED TO THE FIRST YNCA
- CHAPTER X THE AUTHOR COLLATES HIS OWN STATEMENTS WITH THOSE OF THE SPANISH HISTORIANS
- CHAPTER XI THEY DIVIDED THE EMPIRE INTO FOUR DISTRICTS, AND REGISTERED THEIR VASSALS
- CHAPTER XII TWO DUTIES WHICH THE DECURIONS PERFORMED
- CHAPTER XIII CONCERNING CERTAIN LAWS THAT THE YNCAS INSTITUTED IN THEIR GOVERNMENT
- CHAPTER XIV THE DECURIONS GAVE AN ACCOUNT OF THE BIRTHS AND DEATHS
- CHAPTER XV THE INDIANS DENY THAT AN YNCA OF THE BLOOD ROYAL HAS EVER COMMITTED ANY CRIME WHATEVER
- CHAPTER XVI THE LIFE AND ACTS OF SINCHI ROCA THE SECOND KING OF THE YNCA DYNASTY
- CHAPTER XVII LLOQUE YUPANQUI, THIRD KING, AND THE MEANING OF HIS NAME
- CHAPTER XVIII TWO CONQUESTS MADE BY THE YNCA LLOQUE YUPANQUI
- CHAPTER XIX THE CONQUESTS OF HATUN-COLLA, AND THE ORIGIN OF THE COLLAS
- CHAPTER XX THE GREAT PROVINCE OF CHUCUITU IS REDUCED, AS WELL AS MANY OTHER PROVINCES
- CHAPTER XXI THE SCIENCES WHICH THE YNCAS HAD ACQUIRED: AND FIRST OF THEIR KNOWLEDGE OF ASTRONOMY
- CHAPTER XXII THEY UNDERSTOOD THE MEASUREMENT OF THE YEAR, AND THE SOLSTICES AND EQUINOXES
- CHAPTER XXIII THEY OBSERVED THE ECLIPSES OF THE SUN, AND WHAT THEY DID WHEN THOSE OF THE MOON OCCURRED
- CHAPTER XXIV THE MEDICINES THEY USED, AND THEIR MANNER OF EFFECTING CURES
- CHAPTER XXV OF THE MEDICINAL HERBS THEY USED
- CHAPTER XXVI OF THEIR KNOWLEDGE TOUCHING GEOMETRY, ARITHMETIC, AND MUSIC
- CHAPTER XXVII THE POETRY OF THE YNCAS AMAUTAS, WHO ARE PHILOSOPHERS, AND HARAVICUS OR POETS
- CHAPTER XXVIII OF THE FEW INSTRUMENTS WHICH THE INDIANS USED FOR VARIOUS PURPOSES
- THIRD BOOK OF THE ROYAL COMMENTARIES OF THE YNCAS
- FOURTH BOOK OF THE ROYAL COMMENTARIES OF THE YNCAS
- INDEX
Summary
They had a good deal of knowledge of geometry, because it was necessary for them in measuring their lands, and for adjusting and settling the boundaries. But this was not done by measuring arcs in degrees, nor by any speculative method, but by their cords and small stones, with which they marked boundaries. I will not relate what I knew concerning them, because I did not fully understand their practices. With respect to geography, they understood very well how to paint and make models of each kingdom, and I have seen these models, with the towns and provinces depicted on them. I saw a model of Cuzco, with part of its province, and the four principal roads, made of clay and small stones and sticks. The model was according to scale, and showed the large and small squares, the streets, whether broad or narrow, the wards down to the most obscure houses, and the three streams which flow through the city. It was, indeed, a piece of work well worthy of admiration; as well as the model of the surrounding country, with its hills and valleys, ravines, and plateaux, rivers and streams with their windings, so well delineated that the best cosmographer in the world could not have done it better. They made this model that it might be seen by a person named Damian de la Bandera, who had a commission from the Royal Chancellery, to ascertain how many towns and Indians there were in the district of Cuzco.
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- First Part of the Royal Commentaries of the Yncas , pp. 190 - 193Publisher: Cambridge University PressPrint publication year: 2010First published in: 1869