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 6-10 av 65
Side 38
... described from the centre A , with the radius AC equal to the opposite side , will cut the straight line BC in two points C ' and C , lying on the same side of B : hence , there will be two triangles BAC ' , BAČ , either of which will ...
... described from the centre A , with the radius AC equal to the opposite side , will cut the straight line BC in two points C ' and C , lying on the same side of B : hence , there will be two triangles BAC ' , BAČ , either of which will ...
Side 39
... described a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal to the given angle D. COR . Hence , if the angle D be a right angle , the parallelogram EFGC will be a rectangle , equivalent to the ...
... described a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal to the given angle D. COR . Hence , if the angle D be a right angle , the parallelogram EFGC will be a rectangle , equivalent to the ...
Side 41
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given an- gle E. COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given ...
... described equal to the given rectilineal figure ABCD , having the angle FKM equal to the given an- gle E. COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle equal to a given ...
Side 42
... described upon the given straight line AB . PROP . XIX . PROB . To find the side of a square that shall be equivalent to the sum of two squares . Draw the two indefinite lines AB , AC , perpendicular to each other . Take AB equal to the ...
... described upon the given straight line AB . PROP . XIX . PROB . To find the side of a square that shall be equivalent to the sum of two squares . Draw the two indefinite lines AB , AC , perpendicular to each other . Take AB equal to the ...
Side 43
... described upon AD will be equivalent to the difference of the squares constructed upon AC and CD . For the triangle DAC is right angled ; therefore , the square described upon DC is equivalent to the squares constructed upon AD and AC ...
... described upon AD will be equivalent to the difference of the squares constructed upon AC and CD . For the triangle DAC is right angled ; therefore , the square described upon DC is equivalent to the squares constructed upon AD and AC ...
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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