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 GeometryJ.B. Lippincott & Company, 1860 - 317 sider |
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Side 6
... contained in the proposition . 8 A Problem is a proposition or a question proposed , which requires a so- lution . As , to draw one line perpendicular to another ; or to divide a line into two equal parts . 9. Solution of a problem is ...
... contained in the proposition . 8 A Problem is a proposition or a question proposed , which requires a so- lution . As , to draw one line perpendicular to another ; or to divide a line into two equal parts . 9. Solution of a problem is ...
Side 8
... contain the angle meet one another , is put between the other two letters , and one of these two is somewhere upon ... contained by AB , The definitions marked with inverted commas are different from those of Euclid . " " BD , is named ...
... contain the angle meet one another , is put between the other two letters , and one of these two is somewhere upon ... contained by AB , The definitions marked with inverted commas are different from those of Euclid . " " BD , is named ...
Side 9
... contained in a figure , without any reference to the nature of the line or lines which bound it . 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 ...
... contained in a figure , without any reference to the nature of the line or lines which bound it . 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 ...
Side 10
... contained by straight lines . 16. Trilateral figures , or triangles , by three straight lines . 17. Quadrilateral , by four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided ...
... contained by straight lines . 16. Trilateral figures , or triangles , by three straight lines . 17. Quadrilateral , by four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided ...
Side 12
... contained by those sides equal to one another , their bases , or third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides ...
... contained by those sides equal to one another , their bases , or third sides , shall be equal ; and the areas of the triangles shall be equal ; and their other angles shall be equal , each to each , viz . those to which the equal sides ...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1819 |
Elements of Geometry: Containing the First Six Books of Euclid : with a ... John Playfair Uten tilgangsbegrensning - 1837 |
Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Uten tilgangsbegrensning - 1854 |
Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angle BCD 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 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 spherical angle spherical triangle square straight line BC THEOR touches the circle triangle ABC triangle DEF wherefore
Populære avsnitt
Side 49 - 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 9 - 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 27 - 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 17 - 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 13 - UPON the same base, and on the same side of it, there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another, and likewise those which are terminated in the other extremity.
Side 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.
Side 55 - 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 24 - ... sides be equal, each to each; and also the third angle of the one to the third angle of the other. Let ABC, DEF be two triangles which have the angles ABC, BCA equal to the angles DEF, EFD, viz.
Side 125 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Side 78 - 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.