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 98
Side 9
... centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut ...
... centre of the circle . 13. A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . 14. A semicircle is the figure contained by a diameter and the part of the circumference cut ...
Side 11
... centre , at any distance from that centre . AXIOMS . 1. THINGS which are equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders are ...
... centre , at any distance from that centre . AXIOMS . 1. THINGS which are equal to the same thing are equal to one another . 2. If equals be added to equals , the wholes are equal . 3. If equals be taken from equals , the remainders are ...
Side 12
... centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen- tre B , at the distance BA ,. describe the circle ACE ; and from the point C , in which the circles cut one an- other , draw the straight ...
... centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen- tre B , at the distance BA ,. describe the circle ACE ; and from the point C , in which the circles cut one an- other , draw the straight ...
Side 13
... centre A , and at the distance AD , describe ( 3. Post . ) the circle DEF ; and because A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is likewise equal to AD ; whence AE and C are each of them equal to ...
... centre A , and at the distance AD , describe ( 3. Post . ) the circle DEF ; and because A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is likewise equal to AD ; whence AE and C are each of them equal to ...
Side 18
... centre C , at the distance CD , describe ( 3. Post . ) the circle EGF meeting AB in F , , G : and bisect ( 10. 1. ) FG in H , and join CF , CH , CG ; the straight line CH , drawn from the given point C , is per- pendicular to the given ...
... centre C , at the distance CD , describe ( 3. Post . ) the circle EGF meeting AB in F , , G : and bisect ( 10. 1. ) FG in H , and join CF , CH , CG ; the straight line CH , drawn from the given point C , is per- pendicular to the given ...
Andre utgaver - Vis alle
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1847 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1839 |
Elements of Geometry: Containing the First Six Books of Euclid with a ... John Playfair Uten tilgangsbegrensning - 1856 |
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 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 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...