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 sider |
Inni boken
Resultat 1-5 av 99
Side 18
... drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the samę point on different sides of the perpendicular , cutting off equal distances on the other line , will be equal ; and any ...
... drawn from a point , situated with- out a straight line , to that line : any two oblique lines drawn from the samę point on different sides of the perpendicular , cutting off equal distances on the other line , will be equal ; and any ...
Side 23
... draw CE parallel to the straight line AB ; and because AB is parallel to CE , and AC meets them , the al- ternate ... drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition ...
... draw CE parallel to the straight line AB ; and because AB is parallel to CE , and AC meets them , the al- ternate ... drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition ...
Side 32
... draw a straight line equal to a given straight line . Let A be the given point , and BC the gi- ven straight line ; it is required to draw , from the point A , a straight line equal to BC . From the point A to B draw ( 1. Post . ) the ...
... draw a straight line equal to a given straight line . Let A be the given point , and BC the gi- ven straight line ; it is required to draw , from the point A , a straight line equal to BC . From the point A to B draw ( 1. Post . ) the ...
Side 34
... draw a straight line at right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to ...
... draw a straight line at right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to ...
Side 35
... draw a straight line perpendicular to a given straight line , of an un- limited length , from a given point without it . Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it ...
... draw a straight line perpendicular to a given straight line , of an un- limited length , from a given point without it . Let AB be a given straight line , which may be produced to any length both ways , and let C be a point without it ...
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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