The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Inni boken
Side 4
... ( 32 ) ( गुणितम् = rectangle ) इतिप्रथम - पाद : । भूखण्डभुजयोः साम्यं शीर्षच्छेदे शलाकया । भूगुणो भुजसाम्यञ्च शलाकाघातसंहितं ॥ ( 39 ) ( घात : = square ) ...
... ( 32 ) ( गुणितम् = rectangle ) इतिप्रथम - पाद : । भूखण्डभुजयोः साम्यं शीर्षच्छेदे शलाकया । भूगुणो भुजसाम्यञ्च शलाकाघातसंहितं ॥ ( 39 ) ( घात : = square ) ...
Side 5
... two opposite angles . [ See figure Prop . XI . ] XXV . Every right - angled parallelogram is called a rectangle and is said to be contained by any two of the straight lines which form one of its right angles . XXVI . Equal bases are the ...
... two opposite angles . [ See figure Prop . XI . ] XXV . Every right - angled parallelogram is called a rectangle and is said to be contained by any two of the straight lines which form one of its right angles . XXVI . Equal bases are the ...
Side 37
... rectangle LMNP equal to the tri- angle ADB . And the two rectangles LMNP and DFCE are together equal to the figure ... contained by its two contiguous sides . Cor . 3. Given a side , to make a square . If the perpendiculars drawn from ...
... rectangle LMNP equal to the tri- angle ADB . And the two rectangles LMNP and DFCE are together equal to the figure ... contained by its two contiguous sides . Cor . 3. Given a side , to make a square . If the perpendiculars drawn from ...
Side 44
... square of BC is equal to the squares of AB and AC . Upon BC describe the ... together equal to the square of BC ( Ax . 5 ) . Therefore the square of BC is equal to the squares of AC and ... rectangle contained by BD , BL and DN by DC ( 44 )
... square of BC is equal to the squares of AB and AC . Upon BC describe the ... together equal to the square of BC ( Ax . 5 ) . Therefore the square of BC is equal to the squares of AC and ... rectangle contained by BD , BL and DN by DC ( 44 )
Side 45
... square . Therefore the square of a whole line is equal to the rectangles contained by the whole line and each of its parts . PROP . XXVII . THEOREM . ( E. 2. 4. ) If a ... rectangle contained by the two parts , together with the ( 45 )
... square . Therefore the square of a whole line is equal to the rectangles contained by the whole line and each of its parts . PROP . XXVII . THEOREM . ( E. 2. 4. ) If a ... rectangle contained by the two parts , together with the ( 45 )
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 10 - If two triangles have two sides of the one equal to two sides of the...
Side 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.
Side 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.
Side 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.
Side 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.
Side 74 - Any two sides of a triangle are together greater than the third side.
Side 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...
Side 53 - ... figures are to one another in the duplicate ratio of their homologous sides.
Side 62 - ... in a segment less than a semicircle, is greater than a right angle...
Side 59 - The angles in the same segment of a circle are equal to one another.