The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
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... PROPOSITIONS ; Promising to serve for the First Six Books of Euclid with all the deductions . FROM THE SANSCRIT TEXT OF ARYA BHATTA . EDITED ON THE PRINCIPLE OF EUCLID BY JASODA NANDAN SIRCAR . CALCUTTA . PRINTED BY P. N. SHAHA AT THE ...
... PROPOSITIONS ; Promising to serve for the First Six Books of Euclid with all the deductions . FROM THE SANSCRIT TEXT OF ARYA BHATTA . EDITED ON THE PRINCIPLE OF EUCLID BY JASODA NANDAN SIRCAR . CALCUTTA . PRINTED BY P. N. SHAHA AT THE ...
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Āryabhaṭa Jasoda Nauden Sircar. THE ELEMENTS OF PLANE GEOMETRY IN 48 PROPOSITIONS ; Promising to serve for the First Six Books of Euclid with all the deductions . FROM THE SANSCRIT TEXT OF ARYA BHATTA . EDITED ON THE PRINCIPLE OF EUCLID ...
Āryabhaṭa Jasoda Nauden Sircar. THE ELEMENTS OF PLANE GEOMETRY IN 48 PROPOSITIONS ; Promising to serve for the First Six Books of Euclid with all the deductions . FROM THE SANSCRIT TEXT OF ARYA BHATTA . EDITED ON THE PRINCIPLE OF EUCLID ...
Page i
... propositions in the Hindoo Geometry are arranged from right to left . That which ought to have been , according to modern taste , the last in the series is given first and is proved by the next following . The latter is proved by the ...
... propositions in the Hindoo Geometry are arranged from right to left . That which ought to have been , according to modern taste , the last in the series is given first and is proved by the next following . The latter is proved by the ...
Page ii
... propositions in his first six books and leaving out the useless ones . There are , it must be said , propositions in Euclid which might be left out as useless but which are retained as sub- sidiary propositions that lead to the ...
... propositions in his first six books and leaving out the useless ones . There are , it must be said , propositions in Euclid which might be left out as useless but which are retained as sub- sidiary propositions that lead to the ...
Page iii
... proposition , however , not contained in Euclid is deciphered and placed in this edition , which is to find two mean proportionals between two given straight lines by a straight line and circle and which , says Mr. Pott , if we ...
... proposition , however , not contained in Euclid is deciphered and placed in this edition , which is to find two mean proportionals between two given straight lines by a straight line and circle and which , says Mr. Pott , if we ...
Common terms and phrases
AB is equal AC is equal angle ABC angle ADB angle BAC angle DEF angle EDF angles are equal arc BC base BC base CD bisected centre circle ABCD circumference coincide conversely diameter draw duplicate ratio equal angles equal Ax equal to AC equiangular equimultiples Euclid exterior angle figure described fore given straight lines greater Hindoo Geometry homologous isosceles triangle Join Let ABC mean proportionals multiple opposite angles parallel parallelogram AC perpendicular point F polygon produced Q. E. D. Cor Q.E.D. PROP rectangle contained rectilineal figure regular polygon remaining angle right angles sector BGC sector EHF segment semicircle side BC square of BC straight line &c THEOREM third angle touches the circle triangle ABC Wherefore whole angle
Popular passages
Page 10 - If two triangles have two sides of the one equal to two sides of the...
Page 39 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Page 5 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Page 40 - ... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
Page 79 - THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the.
Page 74 - Any two sides of a triangle are together greater than the third side.
Page 47 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the...
Page 53 - ... figures are to one another in the duplicate ratio of their homologous sides.
Page 62 - ... in a segment less than a semicircle, is greater than a right angle...
Page 59 - The angles in the same segment of a circle are equal to one another.