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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Resultater 1-5 af 15
Side 10
... Quadrilateral , by four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided figures , an equilateral triangle is that which has three equal sides . 20. An isosceles triangle is ...
... Quadrilateral , by four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided figures , an equilateral triangle is that which has three equal sides . 20. An isosceles triangle is ...
Side 31
... quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right angles ; hence , if all the angles of a quadrilateral are equal , each of them will be a right an- gle ; a conclusion which sanctions the ...
... quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to four right angles ; hence , if all the angles of a quadrilateral are equal , each of them will be a right an- gle ; a conclusion which sanctions the ...
Side 32
... quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its ...
... quadrilateral are equal and parallel , the remaining sides will also be equal and parallel , and the figure will be a parallelogram . COR . 2. And every quadrilateral , whose opposite sides are equal , is a parallelogram , or has its ...
Side 75
... quadrilateral figure described in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right angles . Join AC , BD . The ...
... quadrilateral figure described in a circle , are together equal to two right angles . Let ABCD be a quadrilateral figure in the circle ABCD ; any two of its opposite angles are together equal to two right angles . Join AC , BD . The ...
Side 76
... quadrilateral be produced , the exterior angle will be equal to the interior opposite angle . COR . 2. It follows , likewise , that a quadrilateral , of which the op- posite angles are not equal to two right angles , cannot be inscribed ...
... quadrilateral be produced , the exterior angle will be equal to the interior opposite angle . COR . 2. It follows , likewise , that a quadrilateral , of which the op- posite angles are not equal to two right angles , cannot be inscribed ...
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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 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 line BC magnitudes meet opposite angle parallel parallelogram parallelopiped perpendicular plane 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 AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Populære passager
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...