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 Trigonometry |
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Página 7
The phrase mutually equiangular has a corresponding signification . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . 33. We shall give the name , equivalent figures , to such as have equal ...
The phrase mutually equiangular has a corresponding signification . In both cases , the equal sides , or the equal angles , are named homologous sides or angles . 33. We shall give the name , equivalent figures , to such as have equal ...
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Every equilateral triangle is also equiangular . SCHOLIUM . D B The equality of the triangles ADC , BDC , proves also that AD is equal to BD , and the angle ADC equal to the angle BDC ; hence , these two are right angles : hence ...
Every equilateral triangle is also equiangular . SCHOLIUM . D B The equality of the triangles ADC , BDC , proves also that AD is equal to BD , and the angle ADC equal to the angle BDC ; hence , these two are right angles : hence ...
Página 11
Hence every equiangular triangle is also equilateral . PROP . V. THEOR . When two triangles have all the three sides in the one , equal to all the three sides in the other , the triangles are identical , or have also their ...
Hence every equiangular triangle is also equilateral . PROP . V. THEOR . When two triangles have all the three sides in the one , equal to all the three sides in the other , the triangles are identical , or have also their ...
Página 23
If two angles of one triangle are respectively equal to two an- gles of another , the third angles will also be equal , and the two triangles will be mutually equiangular . COR . 3. In any triangle there can be but one right angle ...
If two angles of one triangle are respectively equal to two an- gles of another , the third angles will also be equal , and the two triangles will be mutually equiangular . COR . 3. In any triangle there can be but one right angle ...
Página 24
The sum of the angles of a hexagon is equal to 2 × ( 6—2 ) , or eight right angles ; hence , in the equiangular hexagon , each angle is the sixth part of eight right angles , or of one right angle . SCHOLIUM . When this proposition is ...
The sum of the angles of a hexagon is equal to 2 × ( 6—2 ) , or eight right angles ; hence , in the equiangular hexagon , each angle is the sixth part of eight right angles , or of one right angle . SCHOLIUM . When this proposition is ...
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Términos y frases comunes
ABCD altitude angle ABC angle BAC base bisected Book called centre chord circle circumference coincide common consequently construction cosine cylinder definition demonstrated described diameter difference divided double draw drawn equal equal angles equiangular equilateral Euclid exterior angle extremities fall fore four fourth given given straight line greater half Hence inscribed interior join less Let ABC magnitudes manner meet multiple opposite parallel parallelogram pass perpendicular plane polygon prism Prob produced PROP proportional proposition proved radius ratio reason rectangle contained rectilineal figure remaining right angles segment shewn sides similar sine solid spherical square straight line taken tangent THEOR third touch triangle ABC wherefore whole
Información bibliográfica
| Título | 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 Trigonometry |
| Autor | John Playfair |
| Edición | 6 |
| Editor | W.E. Dean, 1836 |
| Largo | 311 páginas |
| Exportar cita | BiBTeX EndNote RefMan |