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 |
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Página 39
... parallelogram FECG is equal to the triangle ABC , and it has one of its angles CEF equal to the given angle D ; Wherefore there has been described a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal ...
... parallelogram FECG is equal to the triangle ABC , and it has one of its angles CEF equal to the given angle D ; Wherefore there has been described a parallelogram FECG equal to a given triangle ABC , having one of its angles CEF equal ...
Página 40
... parallelogram ABML will be a rectangle equiva- lent to the triangle C. PROP . XVI . PROB . To describe a parallelogram equivalent to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the ...
... parallelogram ABML will be a rectangle equiva- lent to the triangle C. PROP . XVI . PROB . To describe a parallelogram equivalent to a given rectilineal figure , and having an angle equal to a given rectilineal angle . Let ABCD be the ...
Página 41
... parallelogram . And because the triangle ABD is equal to the parallel- ogram HF , and the triangle DBC to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram ...
... parallelogram . And because the triangle ABD is equal to the parallel- ogram HF , and the triangle DBC to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the parallelogram ...
Página 42
... parallelogram ADEB is equila- D teral ; it is likewise rectangular ; for the straight line AD meeting the parallels ... parallelograms are equal ( 28. 1. ) ; therefore each of the opposite angles ABE , BED is a right angle ; where- Α ' B ...
... parallelogram ADEB is equila- D teral ; it is likewise rectangular ; for the straight line AD meeting the parallels ... parallelograms are equal ( 28. 1. ) ; therefore each of the opposite angles ABE , BED is a right angle ; where- Α ' B ...
Página 44
... parallelogram , any of the parallelograms about a diameter , to- gether with the two complements , is called a Gnomon . " Thus the paral- " lelogram HG , together with the " complements AF , FC , is the gno- of the parallelogram AC ...
... parallelogram , any of the parallelograms about a diameter , to- gether with the two complements , is called a Gnomon . " Thus the paral- " lelogram HG , together with the " complements AF , FC , is the gno- of the parallelogram AC ...
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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