We investigate the geometry concerning the photometric method of extra
solar planet detection, i.e., the detection of dimunition of a parent
star's brightness during a planetary transit. Under the assumption tha
t planetary orbital inclinations can be defined by a Gaussian with a s
igma of 10-degrees centered on the parent star's equatorial plane, Mon
te Carlo simulations suggest that for a given star observed at an incl
ination of exactly 90-degrees, the probability of at least one Earth-s
ized or larger planet being suitably placed for transits is approximat
ely 4%. This probability drops to 3% for a star observed at an inclina
tion of 80-degrees, and is still approximately 0.5% for a star observe
d at an inclination of 60'. If one can select 100 stars with a pre-det
ermined inclination > 800, the probability of at least one planet bein
g suitably configured for transits is 95%. The majority of transit eve
nts are due to planets in small-a orbits similar to the Earth and Venu
s; thus, the photometric method in principle is the method best suited
for the detection of Earthlike planets. The photometric method also a
llows for testing whether or not planets can exist within binary syste
ms. This can be done by selecting binary systems observed at high orbi
tal inclinations, both eclipsing binaries and wider visual binaries. F
or a ''real-world'' example, we look at the alpha Centauri system (i =
79.2-degrees). If we assume that the equatorial planes of both compon
ents coincide with the system's orbital plane, Monte Carlo simulations
suggest that the probability of at least one planet (of either compon
ent) being suitably configured for transits is approximately 8%. In co
nclusion, we present a non-exhaustive list of solar-type stars, both s
ingle and within binary systems, which exhibit a high equatorial incli
nation. These objects may be considered as preliminary candidates for
planetary searches via the photometric method.