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 páginas |
Dentro del libro
Página 26
... 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 angles , or the sides opposite to the equal angles in each ; then shall the other ...
... 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 angles , or the sides opposite to the equal angles in each ; then shall the other ...
Página 95
... have two angles of the one equal to two angles of the other ; and the side BD , which is opposite to one of the equal angles in each , is common to both ; therefore their other sides are equal ( 26. 1. ) ; wherefore DE is equal to DF ...
... have two angles of the one equal to two angles of the other ; and the side BD , which is opposite to one of the equal angles in each , is common to both ; therefore their other sides are equal ( 26. 1. ) ; wherefore DE is equal to DF ...
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Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circle ABC circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremity fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism PROB produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure right angles segment shewn sides similar sine solid square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Pasajes populares
Página 51 - 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.
Página 29 - 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.
Página 12 - To draw a straight line through a given point parallel to a given straight line. Let A be the given point, and BC the given straight line.
Página 11 - Let it be granted that a straight line may be drawn from any one point to any other point. 2. That a terminated straight line may be produced to any length in a straight line. 3. And that a circle may be described from any centre, at any distance from that centre.
Página 72 - To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle.
Página 84 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Página 80 - 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.
Página 22 - Any two sides of a triangle are together greater than the third side.
Página 53 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Página 35 - Parallelograms upon the same base and between the same parallels, are equal to one another.
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Editor | J.P. Lippincott & Company, 1855 |
| Procedencia del original | Universidad de Harvard |
| Digitalizado | 1 Mar 2007 |
| Largo | 318 páginas |
| Exportar cita | BiBTeX EndNote RefMan |