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 TrigonometryJ.P. Lippincott & Company, 1855 - 318 sider |
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Resultat 1-5 av 100
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 13
... 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 - 1847 |
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Vanlige uttrykk og setninger
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder definition 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 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 avsnitt
Side 41 - 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 70 - 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 45 - Again, because the angle at B is half a right angle, and FDB a right angle, for it is equal...
Side 91 - If two triangles have two 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...
Side 273 - 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...
Side 25 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Side 130 - Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their sides.
Side 61 - THE diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater than one more remote ; and the greater is nearer to the centre than the less.* Let ABCD be a circle, of which...