Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids : to which are Added Elements of Plane and Spherical TrigonometryW.E. Dean, 1853 - 317 σελίδες |
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Αποτελέσματα 1 - 5 από τα 40.
Σελίδα 8
... extremities of a line are points ; and the intersections " of one line with another are also points . " 3. " If two lines are such that they cannot coincide in any two points , with- " out coinciding altogether , each of them is called ...
... extremities of a line are points ; and the intersections " of one line with another are also points . " 3. " If two lines are such that they cannot coincide in any two points , with- " out coinciding altogether , each of them is called ...
Σελίδα 15
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity , equal to one another . Let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which ...
... extremity of the base equal to one another , and likewise those which are terminated in the other extremity , equal to one another . Let there be two triangles ACB , ADB , upon the same base AB , and upon the same side of it , which ...
Σελίδα 16
... extremity equal to one another . PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the other each to each , and have likewise their bases equal ; the angle which is contain ed by the two sides of the ...
... extremity equal to one another . PROP . VIII . THEOR . If two triangles have two sides of the one equal to two sides of the other each to each , and have likewise their bases equal ; the angle which is contain ed by the two sides of the ...
Σελίδα 17
... extremity of the base equal to one another , and like- wise their sides terminated in the other extremity ; but this is impossible 17. 1. ) ; therefore , if the base BC coincides with the base EF , the sides BA , AC cannot but coincide ...
... extremity of the base equal to one another , and like- wise their sides terminated in the other extremity ; but this is impossible 17. 1. ) ; therefore , if the base BC coincides with the base EF , the sides BA , AC cannot but coincide ...
Σελίδα 32
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
... extremities of two equal and parallel straight lines , towards the same parts , are also themselves equal and parallel . Let AB , CD , be equal and parallel straight lines , and joined towards the same parts by the straight lines AC ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore
Δημοφιλή αποσπάσματα
Σελίδα 51 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.
Σελίδα 74 - THE angles in the same segment of a circle are equal to one another...
Σελίδα 37 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 29 - Straight lines which are parallel to the same straight line are parallel to one another. Triangles and Rectilinear Figures. The sum of the angles of a triangle is equal to two right angles.
Σελίδα 29 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line ; it is required to draw a straight line through EAF the point A, parallel to the straight line '
Σελίδα 147 - If the vertical angle of a triangle be bisected by a straight line which also cute the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Σελίδα 19 - The angles which one straight line makes with another upon one side of i't, are either two right angles, or are together eqval to two right angles.
Σελίδα 134 - IF three straight lines be proportionals, the rectangle contained by the extremes is equal to the square of the mean : and if the rectangle contained by the extremes be equal to the square of the mean, the three straight lines are proportionals.
Σελίδα 294 - 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 13 - BC. Wherefore from the given point A a straight line AL has been drawn equal to the given straight line BC.