  We report measurements of the electric dipole matrix elements of the
$^{133}$Cs $\ $ $6s\,^2S_{1/2} \rightarrow 7p\,^2P_{1/2}$ and $6s\,^2S_{1/2}
\rightarrow 7p\,^2P_{3/2}$ transitions. Each of these determinations is based
on direct, precise comparisons of the absorption coefficients between two
absorption lines. For the $\langle 6s\,^2S_{1/2}||r|| 7p\,^2P_{3/2} \rangle$
matrix element, we measure the ratio of the absorption coefficient on this line
with that of the D$_1$ transition, $6s\,^2S_{1/2} \rightarrow 6p\,^2P_{1/2}$.
The matrix element of the D$_1$ line has been determined with high precision
previously by many groups. For the $\langle 6s\,^2S_{1/2}||r|| 7p\,^2P_{1/2}
\rangle$ matrix element, we measure the ratio of the absorption coefficient on
this line with that of the $6s\,^2S_{1/2} \rightarrow 7p\,^2P_{3/2}$
transition. Our results for these matrix elements are $\langle
6s\,^2S_{1/2}||r|| 7p\,^2P_{3/2} \rangle = 0.57417 \: (57)~a_0$ and $\langle
6s\,^2S_{1/2}||r|| 7p\,^2P_{1/2} \rangle = 0.27810 \: (45)~a_0$. These
measurements have implications for the interpretation of parity nonconservation
in atoms.
