Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 1 - 5 από τα 23.
Σελίδα 8
... divided by them into four Parallelograms ; then those two Pa- rallelograms , DG and GB , thro ' which the Diameter does not pafs , are called Comple- ments ; and the other two , HE , FI , which the Diameter paffeth thro ' , are called ...
... divided by them into four Parallelograms ; then those two Pa- rallelograms , DG and GB , thro ' which the Diameter does not pafs , are called Comple- ments ; and the other two , HE , FI , which the Diameter paffeth thro ' , are called ...
Σελίδα 49
... divided in D , the Rectangle comprehended un- der the Whole AB , and one of the Segments AD , is e- qual to the Rectangle com- prehended under the Seg- D B ments AD , DB , together with the Square defcribed upon the Segment AD ; that is ...
... divided in D , the Rectangle comprehended un- der the Whole AB , and one of the Segments AD , is e- qual to the Rectangle com- prehended under the Seg- D B ments AD , DB , together with the Square defcribed upon the Segment AD ; that is ...
Σελίδα 50
... divided in C , the Square defcribed upon the whole Line AB is equal to the Squares defcribed upon the Segments AC , CB , and twice a Rect- angle comprehended under AC , CB ; that is , AD = ( AB ' ) = AC2 + CB2 + 2ACB . Upon AB make the ...
... divided in C , the Square defcribed upon the whole Line AB is equal to the Squares defcribed upon the Segments AC , CB , and twice a Rect- angle comprehended under AC , CB ; that is , AD = ( AB ' ) = AC2 + CB2 + 2ACB . Upon AB make the ...
Σελίδα 55
... divided into two equal Parts in the Point C , and to it be directly ad- D ded any right Line B BD ; the Square made on AD , the G Line compounded of the whole Line AB and added one BD , together with the Square of the added Line BD ...
... divided into two equal Parts in the Point C , and to it be directly ad- D ded any right Line B BD ; the Square made on AD , the G Line compounded of the whole Line AB and added one BD , together with the Square of the added Line BD ...
Σελίδα 56
... be explain'd in Num- bers ; for no Number can be fo divided , that the Product of the Whole into one of the Parts hall be equal to the Square of the other Part . .PRO P. PROP . B XII . A If in an obtufe 56 EUCLID'S Elements .
... be explain'd in Num- bers ; for no Number can be fo divided , that the Product of the Whole into one of the Parts hall be equal to the Square of the other Part . .PRO P. PROP . B XII . A If in an obtufe 56 EUCLID'S Elements .
Συχνά εμφανιζόμενοι όροι και φράσεις
9 ax ABCD abfurd alfo alſo Altitude Angle ABC Bafe BC Baſe becauſe bifect Center Circ Cone confequently conft COROL Cylinder defcribed demonftrated Diameter draw the right drawn EFGH equal Angles equiangular equilateral Equimultiples EUCLID's ELEMENTS faid fame Multiple fecond fhall fimilar fince firft folid fome fore four right ftanding given right Line gles Gnomon greater Hence infcribe leffer lefs likewife Line CD Magnitudes manifeft manner Number oppofite Paral parallel Parallelepip Parallelepipedons Parallelogram perpend perpendicular poffible Point Polyhedron Prifms Probl PROP Propofition Pyramids Ratio Rectangle right Angles right Line AB right Line AC right-lined Figure SCHOL SCHOLIU Segment ſhall Side BC Sphere Square thefe thofe thro tiple Triangle ABC Whence whofe whole
Δημοφιλή αποσπάσματα
Σελίδα 31 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Σελίδα 145 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional : And triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Σελίδα 33 - ABD, is equal* to two right angles, «13. 1. therefore all the interior, together with all the exterior angles of the figure, are equal to twice as many right angles as there are sides of the figure; that is, by the foregoing corollary, they are equal to all the interior angles of the figure, together with four right angles; therefore all the exterior angles are equal to four right angles.
Σελίδα 27 - If two right-angled triangles have their hypotenuses equal, and one side of the one equal to one side of the other, the triangles are congruent.
Σελίδα 31 - The three angles of any triangle taken together are equal to the three angles of any other triangle taken together. From whence it follows, 2.
Σελίδα 11 - That a straight line may be drawn from any point to any other point. 2. That a straight line may be produced to any length in a straight line.