Euclidian Geometry |
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Side 142
DEFINITION . A rectilineal figure is said to be inscribed in a circle when all the
angular points of the rectilineal figure are upon the circumference of the circle .
PROBLEM 2 . In a given circle to inscribe a triangle equiangular to a given
triangle ...
DEFINITION . A rectilineal figure is said to be inscribed in a circle when all the
angular points of the rectilineal figure are upon the circumference of the circle .
PROBLEM 2 . In a given circle to inscribe a triangle equiangular to a given
triangle ...
Side 143
About a given circle describe a triangle equiangular to a given triangle . TS Let it
be required to describe about the o DEF a a equiangular to a PQR . Produce QR
both ways to S , T . Draw any radius OD and make . DOE = 1 PRS , and DOF = .
About a given circle describe a triangle equiangular to a given triangle . TS Let it
be required to describe about the o DEF a a equiangular to a PQR . Produce QR
both ways to S , T . Draw any radius OD and make . DOE = 1 PRS , and DOF = .
Side 150
PQ = QR = RS , & c . ; . . the figure is equilateral ; also the arms of the PQR will
coincide with those of the LQRS . Hence . PQR = _ QRS = - RST , & c . ; . . the
figure is equiangular ; . . PQRS is a regular figure , and it is inscribed in the given
o .
PQ = QR = RS , & c . ; . . the figure is equilateral ; also the arms of the PQR will
coincide with those of the LQRS . Hence . PQR = _ QRS = - RST , & c . ; . . the
figure is equiangular ; . . PQRS is a regular figure , and it is inscribed in the given
o .
Side 151
... R , S , T & c . Hence the polygon will coincide with its former position ; . . AB =
BC = CD = DE & c . ; also . ABC = BCD = CDE , & c . , . . the polygon is equilateral
and also equiangular , i . e . it is a regular polygon and it is circumscribed about ...
... R , S , T & c . Hence the polygon will coincide with its former position ; . . AB =
BC = CD = DE & c . ; also . ABC = BCD = CDE , & c . , . . the polygon is equilateral
and also equiangular , i . e . it is a regular polygon and it is circumscribed about ...
Side 174
The sides about the equal angles of equiangular triangles are proportional . B4
Let ABC , FGH be equiangular triangles . Then shall the sides about the equal 2s
A and F be proportional , as also the sides about B and G , and those about C ...
The sides about the equal angles of equiangular triangles are proportional . B4
Let ABC , FGH be equiangular triangles . Then shall the sides about the equal 2s
A and F be proportional , as also the sides about B and G , and those about C ...
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base bisect Cambridge centre chapter chord circle circumference cloth College common complete construction contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perimeter perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio rect rectangle render respectively revised right angles Schools segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole
Populære avsnitt
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Side 47 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
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Side 157 - The first of four magnitudes is said to have the same ratio to the second, which the third has to the fourth, when any equimultiples whatsoever of the first and third being taken, and any equimultiples whatsoever of the second and fourth ; if the multiple of the first be less than that of the second, the multiple of the third is also less than that of the fourth...
Side 31 - ... and the principles on which the observations made with these instruments are treated for deduction of the distances and weights of the bo.iits of the Solar System, and of a few stars, omitting all minutiit of Elementary Class- Books — continued. formulcE, and all troublesome details of calculation.
Bibliografisk informasjon
| Tittel | Euclidian Geometry |
| Forfatter | Francis Cuthbertson |
| Utgiver | Macmillan, 1874 |
| Original fra | Oxford University |
| Digitalisert | 8. sep 2006 |
| Lengde | 349 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |