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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
Dentro del libro
Resultados 1-5 de 59
Página
... given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they ... straight line . A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily ...
... given , from which the properties of proportionals can be deduced by reasonings , which , at the same time that they ... straight line . A new axiom is also introduced in the room of the 12th , for the purpose of demonstrating more easily ...
Página 18
... straight line , to that line : any two oblique lines drawn from the samę point on different sides of the ... given point A , to the inde- finite straight line DE , of which AB is perpendicular ; then shall the per- pendicular AB be less ...
... straight line , to that line : any two oblique lines drawn from the samę point on different sides of the ... given point A , to the inde- finite straight line DE , of which AB is perpendicular ; then shall the per- pendicular AB be less ...
Página 21
... given point G , no more than one line can be drawn parallel to a given line CD . For there is but one line AB , which makes the sum of the two angles AGH , GHC , equal to two right ... straight line GHK cut AB , EF , OF GEOMETRY . BOOK I. 21.
... given point G , no more than one line can be drawn parallel to a given line CD . For there is but one line AB , which makes the sum of the two angles AGH , GHC , equal to two right ... straight line GHK cut AB , EF , OF GEOMETRY . BOOK I. 21.
Página 23
... straight line AB ; and because AB is parallel to CE , and AC meets them ... given , or merely their sum , the third will be found by subtracting that ... straight lines from a point F within the figure to each of its angles . And , by the ...
... straight line AB ; and because AB is parallel to CE , and AC meets them ... given , or merely their sum , the third will be found by subtracting that ... straight lines from a point F within the figure to each of its angles . And , by the ...
Página 32
... a given finite straight line . Let AB be the given straight line ; it is required to describe an equila- teral triangle upon it . From the centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen ...
... a given finite straight line . Let AB be the given straight line ; it is required to describe an equila- teral triangle upon it . From the centre A , at the dis- tance AB , describe ( 3. Postulate ) the circle BCD , and from the cen ...
Otras ediciones - Ver todas
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP 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 third touches the circle triangle ABC triangle DEF wherefore