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 6-10 de 63
Página 12
... whole an- gle BAC equal to the whole angle BGC . Since , then , the two sides BA , AC , are equal to the two sides BG , GC , each to each , and their contained angles BAC , BGC , also equal , the two triangles BAC , BGC or EDF , are ...
... whole an- gle BAC equal to the whole angle BGC . Since , then , the two sides BA , AC , are equal to the two sides BG , GC , each to each , and their contained angles BAC , BGC , also equal , the two triangles BAC , BGC or EDF , are ...
Página 23
... whole ex- terior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these angles add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the angles ACD , ACB are equal ( 6 ...
... whole ex- terior angle ACD is equal to the two interior and opposite angles CAB , ABC ; to these angles add the angle ACB , and the angles ACD , ACB are equal to the three angles CBA , BAC , ACB ; but the angles ACD , ACB are equal ( 6 ...
Página 26
... whole angle ABD is equal to the whole an- gle ACD : And the angle BAC has been shewn to be equal to the angle BDC : therefore the opposite sides and angles of a parallelogram are equal to one another ; also , its diameter bisects it ...
... whole angle ABD is equal to the whole an- gle ACD : And the angle BAC has been shewn to be equal to the angle BDC : therefore the opposite sides and angles of a parallelogram are equal to one another ; also , its diameter bisects it ...
Página 27
... whole , or the remainder , AE is equal ( 2. or 3. Ax . ) to the whole , or the remainder DF ; now AB is also equal to DC ; therefore the two EA , AB are equal to the two FD , DC , each to each ; but the ex- A B DE C FA B E D C F terior ...
... whole , or the remainder , AE is equal ( 2. or 3. Ax . ) to the whole , or the remainder DF ; now AB is also equal to DC ; therefore the two EA , AB are equal to the two FD , DC , each to each ; but the ex- A B DE C FA B E D C F terior ...
Página 30
... whole triangle ABC is equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD . PROP . XXXVII . THEOR . In any right angled triangle , the square which is described upon the side sub ...
... whole triangle ABC is equal to the whole ADC ; therefore the remaining complement BK is equal to the remaining complement KD . PROP . XXXVII . THEOR . In any right angled triangle , the square which is described upon the side sub ...
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