Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle and the Geometry of Solids ...J. Eastburn & Company, 1819 - 317 σελίδες |
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Σελίδα xiii
... divided , that the part of it that is barely sufficient for the resolution of Triangles may be easily taught by itself . The method of con- structing the Trigonometrical Tables is explained , and a demonstration is added of those ...
... divided , that the part of it that is barely sufficient for the resolution of Triangles may be easily taught by itself . The method of con- structing the Trigonometrical Tables is explained , and a demonstration is added of those ...
Σελίδα 28
... divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from a given point in that line . F Let AB be a given straight line , and C ...
... divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from a given point in that line . F Let AB be a given straight line , and C ...
Σελίδα 42
... divided into as many tri- angles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of these tri- angles are equal to twice as ...
... divided into as many tri- angles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of these tri- angles are equal to twice as ...
Σελίδα 54
... divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and BC be two straight lines ; and let ...
... divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and BC be two straight lines ; and let ...
Σελίδα 55
... divided into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts . - A C B G Let the straight line AB be divided into any two parts in C ; the ...
... divided into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle contained by the parts . - A C B G Let the straight line AB be divided into any two parts in C ; the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference common section cosine cylinder demonstrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Δημοφιλή αποσπάσματα
Σελίδα 153 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle...
Σελίδα 19 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Σελίδα 33 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.
Σελίδα 292 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Σελίδα 308 - 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.
Σελίδα 36 - IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other.
Σελίδα 18 - 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.
Σελίδα 78 - To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle.
Σελίδα 77 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Σελίδα 39 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal to two right angles.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle and the Geometry of Solids ... |
| Συγγραφέας | John Playfair |
| Εκδότης | J. Eastburn & Company, 1819 |
| Πρωτότυπο από | η Δημόσια Βιβλιοθήκη της Νέας Υόρκης |
| Ψηφιοποιήθηκε στις | 21 Ιουν. 2006 |
| Μέγεθος | 317 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |