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, 1847 - 317 sider |
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Resultater 1-5 af 27
Side 9
... 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 perpendicu- lar to it . 8. An obtuse angle is that which is greater than a right angle . 9 ...
... 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 perpendicu- lar to it . 8. An obtuse angle is that which is greater than a right angle . 9 ...
Side 18
... angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point ... adjacent an- gles . But , when the adjacent angles which one straight line makes with another straight line are equal ...
... angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point ... adjacent an- gles . But , when the adjacent angles which one straight line makes with another straight line are equal ...
Side 19
... angles which one straight line makes with another upon one side of it , are either two right angles , or are ... adjacent angles DBA , ABC . PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the ...
... angles which one straight line makes with another upon one side of it , are either two right angles , or are ... adjacent angles DBA , ABC . PROP . XIV . THEOR . If , at a point in a straight line , two other straight lines , upon the ...
Side 26
... angles of the one equal to two angles of the other , each to each ; and one side equal to one side , viz . either the sides adjacent to the equal angles , or the sides opposite to the equal angles in each ; then shall the other side be ...
... angles of the one equal to two angles of the other , each to each ; and one side equal to one side , viz . either the sides adjacent to the equal angles , or the sides opposite to the equal angles in each ; then shall the other side be ...
Side 31
... angle ABC , with its adjacent exterior ABD , is equal ( 13. 1. ) to two right angles ; therefore all the interior , together with all the exterior angles of the figure , are equal to twice as many right angles as there are sides of the ...
... angle ABC , with its adjacent exterior ABD , is equal ( 13. 1. ) to two right angles ; therefore all the interior , together with all the exterior angles of the figure , are equal to twice as many right angles as there are sides of the ...
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Almindelige termer og sætninger
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
Populære passager
Side 53 - 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.
Side 18 - If two triangles have two sides of the one equal to two sides of the...
Side 54 - If a straight line be bisected, and produced to any point, the rectangle contained by the whole line thus produced, and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced.
Side 82 - The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle.
Side 31 - 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.
Side 11 - 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.
Side 21 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD : these shall either be two right angles, or shall together be equal to two right angles. For...
Side 101 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 58 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Side 298 - 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.