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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0743
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STMTLAR Rectaneles, are those which hare There
a ab: eb:: a d. 63.
sides abour rhe equal anxles Lopocrat, cal lo,
M......10011220101 1102 1000 2 00 02
As it the Angle a be equal eo d che Anee c e
qual to e, and the Angle B equal to f; chent Lhe
Priangle a bc similar or like r0 df c: And chem
the Sides about che lqual Angles are alvass PrO-
portional; chacis, a b hach che lame Proporcten co
6 25 f d hach e0 d e, and is chus vrirten,
: 5d. d co
TTON
All Similar Friangles, have cheSides abour cheir
Eiqual Angles P)
portional.
Thus in che Figure.
TCaY, AB: ab :: AC: ac:: C B, BC, BC.
COROLLARY I.
AII Squares must De similar Rectaneles; For (since
cherhare all cheir Sides equal, and allcheir Ansles
righe) whacever Proporrion the side a m hachto
the side bi oF the ocher Rectangle, the lame must
also che orher side ab haverochelide c h; becaule
chez are equalco a m, and 10 hi.
COROLLARY H.
Flence all similar Rectansles are to cach orter 25
the squares ot cheir FTomolorous. sides.
FOr che Rectansle A, 151OB :: a5 the Square
bm is ro rhe Square ei; since 25 ell Squares a5
Rectansles are in 2 duplicate Rario ro rhar oF their
sides.
SIMTLAR RishE.lin d Figures, are suct as tave
equal Angles, and che sides abour rhose equal An
Bles proporional.
SIMILAR Sesments OF a Circle are such aS CON-
tain equal Angles.
STMILAR Solid Numbers, are rhole, Whose lirtle
Cubes max be s0 ranged as ro make similar arid
rectansular Parallelopipeds.
SIMILAR Triangles, are suct a5 have al cheir
etirce Anses respectirely equal r0 one anorher.
le into chegreater, byca
kine Ab = a b, and A c = a c, then wvill chc
Base B c, De the lanc a5 in the lesser Priatgle5
and  Wrhole Friangle Ab c, will bC equa l
2bc.
And cheretore he Anele A b c, will bC escal 10
hC Anole B, and A cb = C.
theretore,
For sex theletser
Wheretore rhe Linc b c, is parallel to BB: And
Ab: AB: AC: AC:: bc: BC, (36.
Orherwile chus, accordins r0 Fuclid.
Cay, Lhac che dides about cheur L.qual Aneles aTC
Loceat.
Let the Frianole a b c, be similar ro d c c. Then
Set the Bales otthe uo Trianeles a candec; le
ropectex as chac ehex may joyr.  
hister