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 |
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Resultat 1-5 av 68
Side 32
... PROB . From a given point to 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 ...
... PROB . From a given point to 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 ...
Side 33
... PROB . From the greater of two given straight lines to cut off a part equal to the less Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the ...
... PROB . From the greater of two given straight lines to cut off a part equal to the less Let AB and C be the two given straight lines , whereof AB is the greater . It is required to cut off from AB , the greater , a part equal to C , the ...
Side 34
... ( Prob . 1. ) upon it an equilateral triangle ABC , and bisect ( Prob . 4. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD com- mon to the two triangles ACD , BCD ...
... ( Prob . 1. ) upon it an equilateral triangle ABC , and bisect ( Prob . 4. ) the angle ACB by the straight line CD . AB is cut into two equal parts in the point D. Because AC is equal to CB , and CD com- mon to the two triangles ACD , BCD ...
Side 35
... PROB . To 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 ...
... PROB . To 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 ...
Side 36
... PROB . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle ... ( Prob . 8. ) the triangle AFG , the sides of which shall be equal to the three straight lines , CD , DE , CE , so that ...
... PROB . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle ... ( Prob . 8. ) the triangle AFG , the sides of which shall be equal to the three straight lines , CD , DE , CE , so that ...
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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