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 TrigonometryW.E. Dean, 1836 - 311 páginas |
Dentro del libro
Resultados 1-5 de 55
Página 2
... Problem is a proposition or a question proposed , which requires a so- lution . As , to draw one line perpendicular to another ; or to divide a line into two equal parts . A 9. Solution of a problem is the resolution or answer given to ...
... Problem is a proposition or a question proposed , which requires a so- lution . As , to draw one line perpendicular to another ; or to divide a line into two equal parts . A 9. Solution of a problem is the resolution or answer given to ...
Página 31
... draw AD at right angles to AC , and make AD equal to BA , and join DC . Then because DA is equal to AB , the square ... PROBLEMS RELATING TO THE FIRST BOOK . PROP . I. } 31 OF GEOMETRY . BOOK I.
... draw AD at right angles to AC , and make AD equal to BA , and join DC . Then because DA is equal to AB , the square ... PROBLEMS RELATING TO THE FIRST BOOK . PROP . I. } 31 OF GEOMETRY . BOOK I.
Página 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 to B ...
... 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 to B ...
Página 33
... draw ( Prob . 2. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , de- scribe ( 3. Post . ) the circle DEF ; and be- cause A is the centre of the circle DEF , AE is equal to AD ; but the straight line ...
... draw ( Prob . 2. ) the straight line AD equal to C ; and from the centre A , and at the distance AD , de- scribe ( 3. Post . ) the circle DEF ; and be- cause A is the centre of the circle DEF , AE is equal to AD ; but the straight line ...
Página 34
... ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C , in the given straight line AB , FC has been drawn at right angles to AB . PROP . VII . PROB . To draw a straight 34 ...
... ( 7. def . ) angle ; therefore each of the angles DCF , ECF , is a right angle . Wherefore , from the given point C , in the given straight line AB , FC has been drawn at right angles to AB . PROP . VII . PROB . To draw a straight 34 ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
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 draw Prob 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