Elements of Geometry, Briefly, Yet Plainly Demonstrated by Edmund StoneD. Midwinter, 1728 |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 13
... Join AC , upon a 3 poft . which raise the equilateral Triangle ADC . poft . Produced DC to E , about the Center D , with the Distance DE , defcribe the Circle DEH , e 2 poft . and let DA be produced to the Point G inf 15 def . the ...
... Join AC , upon a 3 poft . which raise the equilateral Triangle ADC . poft . Produced DC to E , about the Center D , with the Distance DE , defcribe the Circle DEH , e 2 poft . and let DA be produced to the Point G inf 15 def . the ...
Σελίδα 15
... join C , D , and , B , E.bi poft . Then in the Trianglese hyp . ACD , ABE , becaufe AB is = AC , and A Edd conft . AD , and the Angle A is common : therefore fhall the Angle ABE be ACD , and the e . Angle AEB ADC , and the Bafe BEDC ...
... join C , D , and , B , E.bi poft . Then in the Trianglese hyp . ACD , ABE , becaufe AB is = AC , and A Edd conft . AD , and the Angle A is common : therefore fhall the Angle ABE be ACD , and the e . Angle AEB ADC , and the Bafe BEDC ...
Σελίδα 17
... join CD . e Again , the Angle ACD = ADC , and BCD e 5. 1 . BDC ; but the Angle ADC → BDC ; that f 9 ax . js , the Angle ACDBCD ; which is abfurd . PROP . VIII . If two Triangles ( ABC , abc ) have two Sides ( AB , AC ) each equal to ...
... join CD . e Again , the Angle ACD = ADC , and BCD e 5. 1 . BDC ; but the Angle ADC → BDC ; that f 9 ax . js , the Angle ACDBCD ; which is abfurd . PROP . VIII . If two Triangles ( ABC , abc ) have two Sides ( AB , AC ) each equal to ...
Σελίδα 22
... join out ACG . i = h e = ther of the internal and oppofite Angles CAB , or CBA . bifect & the Sides AC , out take f EF BE , FC , IC , and continue ། Now because CE EA , and EF8EB , h15.1 . and Angle FEC BEA ; the Angle ECF fhall be EAB ...
... join out ACG . i = h e = ther of the internal and oppofite Angles CAB , or CBA . bifect & the Sides AC , out take f EF BE , FC , IC , and continue ། Now because CE EA , and EF8EB , h15.1 . and Angle FEC BEA ; the Angle ECF fhall be EAB ...
Σελίδα 23
... join DB ; I. But & ADB d 16. 1 . then the Angle ADB ABD . C ; therefore ABDC . Therefore the whole Angle ABCC . After the fame man- ner fhall the Angle ABC be A. QE.D. PROP . A. C B XIX . In every Triangle ABC , the greater Angle A is ...
... join DB ; I. But & ADB d 16. 1 . then the Angle ADB ABD . C ; therefore ABDC . Therefore the whole Angle ABCC . After the fame man- ner fhall the Angle ABC be A. QE.D. PROP . A. C B XIX . In every Triangle ABC , the greater Angle A is ...
Συχνά εμφανιζόμενοι όροι και φράσεις
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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.